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Topic 2 31

Daily Spiral Review

2-1D

aily Spiral Review

2-1

1. Which is the word form of 604?

A Sixty-four

B Four hundred six

C Six hundred four

D Six hundred forty

2. Danny has 2 quarters, 2 dimes, and 3 nickels. What is the total value of Danny’s coins?

A $0.75 C $0.85

B $0.80 D $0.90

3. What is the value of the 7 in 275,342?

A 7 C 7,000

B 700 D 70,000

4. Which of the following is the number of faces that a cube has?

A 7 C 5

B 6 D 4

5. Write fifty-eight thousand, one hundred sixty in standard form.

6. Write 300,000 ! 50,000 ! 2,000 ! 100 ! 80 ! 4 in standard form.

7. Last week, 25 third-grade students and 16 fourth-grade students went on a field trip. How many more third-grade students than fourth-grade students went on the field trip?

8. Order the numbers from least to greatest.

3,952; 3,529; 3,925; 3,592

9. What number is missing in the pattern below?

7, 14, 21, 28, ______, 42

Choose the best answer.

28421_031_048.indd 31 1/16/08 4:48:13 PM

58,160

352,184

9

3,529; 3,592; 3,925; 3,952

35

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Topic 2 31

Daily Spiral Review

2-1D

aily Spiral Review

2-1

1. Which is the word form of 604?

A Sixty-four

B Four hundred six

C Six hundred four

D Six hundred forty

2. Danny has 2 quarters, 2 dimes, and 3 nickels. What is the total value of Danny’s coins?

A $0.75 C $0.85

B $0.80 D $0.90

3. What is the value of the 7 in 275,342?

A 7 C 7,000

B 700 D 70,000

4. Which of the following is the number of faces that a cube has?

A 7 C 5

B 6 D 4

5. Write fifty-eight thousand, one hundred sixty in standard form.

6. Write 300,000 ! 50,000 ! 2,000 ! 100 ! 80 ! 4 in standard form.

7. Last week, 25 third-grade students and 16 fourth-grade students went on a field trip. How many more third-grade students than fourth-grade students went on the field trip?

8. Order the numbers from least to greatest.

3,952; 3,529; 3,925; 3,592

9. What number is missing in the pattern below?

7, 14, 21, 28, ______, 42

Choose the best answer.

28421_031_048.indd 31 3/14/08 1:01:45 PM

© Pearson Education, Inc. 3

32

Topic 2

Problem of the Day 2-1

Using only the digits 0, 5, 8, and 9, write all possible 4-digit numbers that are greater than 9,000. Each digit can only be used once in each number. (Hint: Make an organized list.)

2-1Problem of the DayProblem

of the Day

2-1

28421_031_048.indd 321/16/08 4:48:15 P

M

0 14131197531 12108642

6 7

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Topic 2 33

Quick C

heck 2-1

Quick Check

2-1

1. Which number goes into the ☐ to make the number sentence true?5 ! (3 ! ☐) " (2 ! 3) ! 5

A 2

B 5

C 8

D 10

2. Which number sentence is modeled on the number line?

A 6 ! 1 " 7

B 0 ! 6 " 6

C 6 ! 6 " 12

D 6 ! 7 " 13

3. Which number sentence matches the picture?

A 4 ! 4 " 8

B 4 ! 8 " 12

C 8 # 4 " 4

D 12 ! 4 " 16

4. Writing to Explain What does it mean to add 5 and 0? Draw a picture and explain how to find the sum.

28421_031_048.indd 33 1/16/08 4:48:16 PM

0 14131197531 12108642

6 7

See students’ samples at the right.

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Topic 2 33

Quick C

heck 2-1

Quick Check

2-1

1. Which number goes into the ! to make the number sentence true?5 ! (3 ! !) " (2 ! 3) ! 5

A 2

B 5

C 8

D 10

2. Which number sentence is modeled on the number line?

A 6 ! 1 " 7

B 0 ! 6 " 6

C 6 ! 6 " 12

D 6 ! 7 " 13

3. Which number sentence matches the picture?

A 4 ! 4 " 8

B 4 ! 8 " 12

C 8 # 4 " 4

D 12 ! 4 " 16

4. Writing to Explain What does it mean to add 5 and 0? Draw a picture and explain how to find the sum.

28421_031_048.indd 33 3/14/08 1:01:48 PM

6 ! 2 " 8 2 ! 6 " 8

(3 ! 4) ! 1 " 8

!

3 ! (4 ! 1) " 8

!

0 ! 4 " 4

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34 Topic 2

Addition Meaning and PropertiesThe Commutative (Order) Property

You can add numbers in any order, and the sum will be the same.

The Associative (Grouping) Property

You can group addends in any way, and the sum will be the same.

The Identity (Zero) Property

The sum of any number and zero equals that same number.

Find each sum.

1. 3 ! (2 ! 4) " 2. (0 ! 5) ! 2 "

3. (8 ! 3) ! 4 " 4. 9 ! 2 ! 6 " Write each missing number.

5. 3 ! 4 " 4 ! 6. ! 7 " 7

7. (2 ! 3) ! 4 " ! (2 ! 4) 8. 9 ! (2 ! 7) " (9 ! 2) !

9. Reasoning Does (4 ! 5 ) ! 2 " 9 ! 2? Explain.

Reteaching

2-1Re

teac

hing

2-1

28421_031_048.indd 34 1/16/08 4:48:18 PM

6 ! 2 " 8 2 ! 6 " 8

(3 ! 4) ! 1 " 8

!

3 ! (4 ! 1) " 8

!

0 ! 4 " 4

9 715 17

3 03

(4 ! 5) ! 2 has the same sum as 9 ! 2.Both equal 11.

7

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34 Topic 2

Addition Meaning and PropertiesThe Commutative (Order) Property

You can add numbers in any order, and the sum will be the same.

The Associative (Grouping) Property

You can group addends in any way, and the sum will be the same.

The Identity (Zero) Property

The sum of any number and zero equals that same number.

Find each sum.

1. 3 ! (2 ! 4) " 2. (0 ! 5) ! 2 "

3. (8 ! 3) ! 4 " 4. 9 ! 2 ! 6 " Write each missing number.

5. 3 ! 4 " 4 ! 6. ! 7 " 7

7. (2 ! 3) ! 4 " ! (2 ! 4) 8. 9 ! (2 ! 7) " (9 ! 2) !

9. Reasoning Does (4 ! 5 ) ! 2 " 9 ! 2? Explain.

Reteaching

2-1Re

teac

hing

2-1

28421_031_048.indd 34 3/14/08 1:01:50 PM

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Topic 2 35

Practice 2-1

Practice

2-1Addition Meaning and PropertiesWrite each missing number.

1. 7 ! 2 " 2 ! ■ 2. 3 ! ■ " 3 3. (2 ! 4) ! 5 " 2 ! (■ ! 5)

4. 3 ! ■ " 5 ! 3 5. ■ ! 0 " 6 6. (5 ! 3) ! 9 " 8 ! ■

7. Reasoning What property of addition is shown in the

following number sentence? Explain.

7 ! (3 + 5) " (7 + 3) ! 5

8. Number Sense Minnie has 6 country CDs and 5 rock CDs. Amanda has 5 rock CDs and 6 country CDs. Who has more CDs? Explain.

9. Show how the Commutative Property of Addition works using the numbers 2, 3, and 5.

10. Explain It Jake says that adding 0 does not change a sum.

Is he correct? Explain.

11. Which property of addition is shown by 5 ! 2 " 2 ! 5?

A Associative Property C Commutative Property

B Distributive Property D Identity Property

28421_031_048.indd 35 1/16/08 4:48:19 PM

7 0 4

5 6 9

The Associative Property of Addition; The way the

addends are grouped does not change a sum.

Minnie and Amanda have the same number of CDs because 6 ! 5 " 5 ! 6.

2 ! 3 " 5 and 3 ! 2 " 5

Yes. The sum of an addend and 0 is the addend.

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Topic 2 35

Practice 2-1

Practice

2-1Addition Meaning and PropertiesWrite each missing number.

1. 7 ! 2 " 2 ! ! 2. 3 ! ! " 3 3. (2 ! 4) ! 5 " 2 ! (! ! 5)

4. 3 ! ! " 5 ! 3 5. ! ! 0 " 6 6. (5 ! 3) ! 9 " 8 ! !

7. Reasoning What property of addition is shown in the

following number sentence? Explain.

7 ! (3 + 5) " (7 + 3) ! 5

8. Number Sense Minnie has 6 country CDs and 5 rock CDs. Amanda has 5 rock CDs and 6 country CDs. Who has more CDs? Explain.

9. Show how the Commutative Property of Addition works using the numbers 2, 3, and 5.

10. Explain It Jake says that adding 0 does not change a sum.

Is he correct? Explain.

11. Which property of addition is shown by 5 ! 2 " 2 ! 5?

A Associative Property C Commutative Property

B Distributive Property D Identity Property

28421_031_048.indd 35 3/14/08 1:01:51 PM

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36 Topic 2

Enric

hmen

t 2-1

Enrichment

2-1Add It UpTell whether you use the Commutative (Order) Property, the Associative (Grouping) Property, or the Identity (Zero) Property. Explain your answer. Then solve.

1. ? ! 14 " 14. You use the Property because

. The solution is .

2. (10 + 9) ! 8 " ? ! (9 ! 8). You use the Property because

The solution is .

3. How can you write 9 ! 13 using 9 and two other addends? Find the sum and explain your answer.

4. Use two different addends to write a problem that has the same sum as 9 ! 13. Explain your answer.

Reasoning

28421_031_048.indd 36 1/16/08 4:48:20 PM

Identityany number added to zero is that

number

the order does not matter; Theaddends add to the same amount.

Students’ answers should include 9 and two other addends that have a sum of 13.

Sample answer: 7 ! 15 " 22; Students’ answers should include any two addends that have a sum of 22.

10

Associative0

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36 Topic 2

Enric

hmen

t 2-1

Enrichment

2-1Add It UpTell whether you use the Commutative (Order) Property, the Associative (Grouping) Property, or the Identity (Zero) Property. Explain your answer. Then solve.

1. ? ! 14 " 14. You use the Property because

. The solution is .

2. (10 + 9) ! 8 " ? ! (9 ! 8). You use the Property because

The solution is .

3. How can you write 9 ! 13 using 9 and two other addends? Find the sum and explain your answer.

4. Use two different addends to write a problem that has the same sum as 9 ! 13. Explain your answer.

Reasoning

28421_031_048.indd 36 3/14/08 1:01:53 PM

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Topic 2 37

Daily Spiral Review

2-2Choose the best answer.

1. Which is the standard form of two hundred thousand, six hundred ninety-nine?

A 269,600

B 209,699

C 206,690

D 200,699

2. Darren has 50 baseball cards and 23 football cards. What is the total number of cards Darren has?

A 53

B 55

C 70

D 73

3. Which unit would you use to measure the length of your classroom?

A Pound

B Foot

C Gallon

D Degree

4. Which number has the greatest value?

A 5,445

B 4,455

C 5,544

D 4,554

Use the table for 5 through 8.

National Champion TreesTree Height (in ft)

Giant sequoia 275Sugar pine 232Coast Douglas fir 281Port Orford cedar 219Coast redwood 321

In 5–7, compare the heights of the two trees. Use !, ", or #.

5. Giant sequoia Coast redwood

6. Sugar pine Port Orford cedar

7. Coast Douglas fir Coast redwood

8. What is the height of a tree that has a greater height than a giant sequoia but less than a coast Douglas fir?

feet

Daily Spiral Review

2-2

28421_031_048.indd 37 1/16/08 4:48:22 PM

Accept 276–280

<>

<

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Topic 2 37

Daily Spiral Review

2-2Choose the best answer.

1. Which is the standard form of two hundred thousand, six hundred ninety-nine?

A 269,600

B 209,699

C 206,690

D 200,699

2. Darren has 50 baseball cards and 23 football cards. What is the total number of cards Darren has?

A 53

B 55

C 70

D 73

3. Which unit would you use to measure the length of your classroom?

A Pound

B Foot

C Gallon

D Degree

4. Which number has the greatest value?

A 5,445

B 4,455

C 5,544

D 4,554

Use the table for 5 through 8.

National Champion TreesTree Height (in ft)

Giant sequoia 275Sugar pine 232Coast Douglas fir 281Port Orford cedar 219Coast redwood 321

In 5–7, compare the heights of the two trees. Use !, ", or #.

5. Giant sequoia Coast redwood

6. Sugar pine Port Orford cedar

7. Coast Douglas fir Coast redwood

8. What is the height of a tree that has a greater height than a giant sequoia but less than a coast Douglas fir?

feet

Daily Spiral Review

2-2

28421_031_048.indd 37 3/14/08 1:01:54 PM

© Pearson Education, Inc. 3

38

Topic 2

Find each missing number. + 6 = 6 + 3

0 + = 8 (7 + 2) + = 13 ( + 2) + 3 = 6 + (2 + 3) 7 + (2 + 4) = 7 +

2-2Problem of the DayProblem

of the Day

2-2Problem of the Day 2-2

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Topic 2 39

Quick C

heck 2-2

Quick Check

2-2

1

11

21

31

41

51

61

71

81

91

2

12

22

32

42

52

62

72

82

92

3

13

23

33

43

53

63

73

83

93

4

14

24

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

46

56

66

76

86

96

7

17

27

37

47

57

67

77

87

97

8

18

28

38

48

58

68

78

88

98

9

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

Use the hundred chart to solve 1 and 2.

1. Omar had 48 postcards. His brother gave him 13 more postcards. How many postcards does Omar have in all?

A 62

B 61

C 60

D 59

2. Mina is 16 years old. How old will she be 25 years from now?

A 9

B 36

C 41

D 46

3. Writing to Explain Describe the steps you would use to add 57 ! 29 on a hundred chart. Tell how to use the rows to find the sum.

28421_031_048.indd 39 1/16/08 4:48:24 PM

See students’ samples at the right.

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Topic 2 39

Quick C

heck 2-2

Quick Check

2-2

1

11

21

31

41

51

61

71

81

91

2

12

22

32

42

52

62

72

82

92

3

13

23

33

43

53

63

73

83

93

4

14

24

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

46

56

66

76

86

96

7

17

27

37

47

57

67

77

87

97

8

18

28

38

48

58

68

78

88

98

9

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

Use the hundred chart to solve 1 and 2.

1. Omar had 48 postcards. His brother gave him 13 more postcards. How many postcards does Omar have in all?

A 62

B 61

C 60

D 59

2. Mina is 16 years old. How old will she be 25 years from now?

A 9

B 36

C 41

D 46

3. Writing to Explain Describe the steps you would use to add 57 ! 29 on a hundred chart. Tell how to use the rows to find the sum.

28421_031_048.indd 39 3/14/08 1:01:56 PM

1

11

21

31

41

51

61

71

81

91

2

12

22

32

42

52

62

72

82

92

3

13

23

33

43

53

63

73

83

93

4

14

24

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

46

56

66

76

86

96

7

17

27

37

47

57

67

77

87

97

8

18

28

38

48

58

68

78

88

98

9

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

1

11

21

31

41

51

61

71

81

91

2

12

22

32

42

52

62

72

82

92

3

13

23

33

43

53

63

73

83

93

4

14

24

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

46

56

66

76

86

96

7

17

27

37

47

57

67

77

87

97

8

18

28

38

48

58

68

78

88

98

9

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

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40 Topic 2

Adding on a Hundred ChartYou can use a hundred chart to add.To add 37 ! 26, follow these steps:

• Start at 37.• Go down 2 rows to add 20.• Go right 3 spaces to add 3 more. So far you have added 20 ! 3, or 23.• To add 3 more, go down to the next row and go right 3 spaces.• You end at 63.

So, 37 ! 26 " 63.

You could also do it this way:

• Start at 37.• Go down 3 rows to add 30.• Go left 4 spaces to subtract 4.• You end at 63.

So, 37 ! 26 " 63

Use a hundred chart to add.

1. 30 ! 45 2. 52 ! 40 3. 26 ! 43 4. 37 ! 23

5. 28 ! 45 6. 47 ! 18 7. 39 ! 35 8. 26 ! 54

9. Reasoning To find 38 ! 45, you could first find 38 ! 50 " 88. Then what should you do?

Reteaching

2-2Re

teac

hing

2-2

28421_031_048.indd 40 1/16/08 4:48:26 PM

1

11

21

31

41

51

61

71

81

91

2

12

22

32

42

52

62

72

82

92

3

13

23

33

43

53

63

73

83

93

4

14

24

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

46

56

66

76

86

96

7

17

27

37

47

57

67

77

87

97

8

18

28

38

48

58

68

78

88

98

9

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

1

11

21

31

41

51

61

71

81

91

2

12

22

32

42

52

62

72

82

92

3

13

23

33

43

53

63

73

83

93

4

14

24

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

46

56

66

76

86

96

7

17

27

37

47

57

67

77

87

97

8

18

28

38

48

58

68

78

88

98

9

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

75 92 69 60

73 65 74 80

Subtract 5

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40 Topic 2

Adding on a Hundred ChartYou can use a hundred chart to add.To add 37 ! 26, follow these steps:

• Start at 37.• Go down 2 rows to add 20.• Go right 3 spaces to add 3 more. So far you have added 20 ! 3, or 23.• To add 3 more, go down to the next row and go right 3 spaces.• You end at 63.

So, 37 ! 26 " 63.

You could also do it this way:

• Start at 37.• Go down 3 rows to add 30.• Go left 4 spaces to subtract 4.• You end at 63.

So, 37 ! 26 " 63

Use a hundred chart to add.

1. 30 ! 45 2. 52 ! 40 3. 26 ! 43 4. 37 ! 23

5. 28 ! 45 6. 47 ! 18 7. 39 ! 35 8. 26 ! 54

9. Reasoning To find 38 ! 45, you could first find 38 ! 50 " 88. Then what should you do?

Reteaching

2-2Re

teac

hing

2-2

28421_031_048.indd 40 3/14/08 1:01:58 PM

1

11

21

31

41

51

61

71

81

91

2

12

22

32

42

52

62

72

82

92

3

13

23

33

43

53

63

73

83

93

4

14

24

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

46

56

66

76

86

96

7

17

27

37

47

57

67

77

87

97

8

18

28

38

48

58

68

78

88

98

9

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

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Topic 2 41

Adding on a Hundred ChartUse a hundred chart to add.

1. 45 ! 30 2. 36 ! 33

3. 52 ! 46 4. 27 ! 23

5. 36 ! 45 6. 49 ! 24

Number Sense Compare. Use ", #, or $.

Practice

2-2Practice 2

-2

7. 32 ! 40 42 ! 38

9. 46 ! 34 33 ! 45

11. 37 ! 44 32 ! 50

8. 27 ! 52 52 ! 27

10. 22 ! 54 28 ! 48

12. 51 ! 25 41 ! 25

13. Number Sense Mickey lives 35 miles away from his grandparents’ home. His Aunt Roz lives 24 miles farther than his grandparents. How far does Mickey live from his Aunt Roz?

14. Kirsten spent 45 minutes doing her math homework and 35 minutes studying for science class. How much time did Kirsten spend studying all together?

15. Which addition problem has a sum of 65?

A 37 ! 28 B 46 ! 29 C 34 ! 32 D 27 ! 39

28421_031_048.indd 41 1/16/08 4:48:27 PM

1

11

21

31

41

51

61

71

81

91

2

12

22

32

42

52

62

72

82

92

3

13

23

33

43

53

63

73

83

93

4

14

24

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

46

56

66

76

86

96

7

17

27

37

47

57

67

77

87

97

8

18

28

38

48

58

68

78

88

98

9

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

75 69

98 50

81 73

<=>=

< >

59 miles

80 minutes

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Topic 2 41

Adding on a Hundred ChartUse a hundred chart to add.

1. 45 ! 30 2. 36 ! 33

3. 52 ! 46 4. 27 ! 23

5. 36 ! 45 6. 49 ! 24

Number Sense Compare. Use ", #, or $.

Practice

2-2Practice 2

-2

7. 32 ! 40 42 ! 38

9. 46 ! 34 33 ! 45

11. 37 ! 44 32 ! 50

8. 27 ! 52 52 ! 27

10. 22 ! 54 28 ! 48

12. 51 ! 25 41 ! 25

13. Number Sense Mickey lives 35 miles away from his grandparents’ home. His Aunt Roz lives 24 miles farther than his grandparents. How far does Mickey live from his Aunt Roz?

14. Kirsten spent 45 minutes doing her math homework and 35 minutes studying for science class. How much time did Kirsten spend studying all together?

15. Which addition problem has a sum of 65?

A 37 ! 28 B 46 ! 29 C 34 ! 32 D 27 ! 39

28421_031_048.indd 41 3/14/08 1:01:59 PM

! 1

! 10

! 100

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42 Topic 2

Egyptian Addition More than 5,000 years ago ancient Egyptians used a number system that was based on the number ten! Some of the symbols they used are shown at the right.

Here is how the Egyptians would have written 15 " 26 ! 41.

Write each number using our number system. Then find each sum and draw the sum using Egyptian symbols.

1. " !

" !

2. " !

" !

3. " !

" !

4. " !

" !

Mental Math

Enrichment

2-2En

richm

ent 2

-2

" !

28421_031_048.indd 42 1/16/08 4:48:29 PM

! 1

! 10

! 100

23 42 65

35 57 92

48 26 74

58 44 102

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42 Topic 2

Egyptian Addition More than 5,000 years ago ancient Egyptians used a number system that was based on the number ten! Some of the symbols they used are shown at the right.

Here is how the Egyptians would have written 15 " 26 ! 41.

Write each number using our number system. Then find each sum and draw the sum using Egyptian symbols.

1. " !

" !

2. " !

" !

3. " !

" !

4. " !

" !

Mental Math

Enrichment

2-2En

richm

ent 2

-2

" !

28421_031_048.indd 42 3/14/08 1:02:00 PM

1,000 1,7501,5001,250

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Topic 2 43

1. Which number below in standard form do these blocks show?

A 1,236 C 2,136

B 1,326 D 2,236

2. Which is an example of the Commutative (Order) Property of Addition?

A 7 ! 6 " 13

B 6 ! 0 " 6

C 5 ! 9 " 9 ! 5

D (3 ! 2) ! 8 " 3 ! (2 ! 8)

3. What is the missing number?5 ! (7 ! 3) " 5 ! (3 ! !)

A 15 C 5

B 7 D 3

4. Miguel is going to eat an orange. Which of the following is the best estimate of how long it will take Miguel to eat the orange?

A 2 days

B 2 hours

C 2 minutes

D 2 seconds

5. Fill in 1,655; 1,100; and 1,350 where they should be on the number line.

6. Order the numbers from greatest to least.4,392; 3,999; 4,401

7. There are 15 girls and 11 boys in Mr. Gittens’s class. How many students does Mr. Gittens have all together?

8. Which property of addition is shown below?0 ! 7 " 7

Daily Spiral Review

2-3Choose the best answer.

Daily Spiral Review

2-3

28421_031_048.indd 43 1/16/08 4:48:30 PM

1,000 1,7501,5001,250

4,401; 4,392; 3,999

26

Identity Propertyof Addition orZero Property ofAddition

1,100 1,6551,350

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Topic 2 43

1. Which number below in standard form do these blocks show?

A 1,236 C 2,136

B 1,326 D 2,236

2. Which is an example of the Commutative (Order) Property of Addition?

A 7 ! 6 " 13

B 6 ! 0 " 6

C 5 ! 9 " 9 ! 5

D (3 ! 2) ! 8 " 3 ! (2 ! 8)

3. What is the missing number?5 ! (7 ! 3) " 5 ! (3 ! ■)

A 15 C 5

B 7 D 3

4. Miguel is going to eat an orange. Which of the following is the best estimate of how long it will take Miguel to eat the orange?

A 2 days

B 2 hours

C 2 minutes

D 2 seconds

5. Fill in 1,655; 1,100; and 1,350 where they should be on the number line.

6. Order the numbers from greatest to least.4,392; 3,999; 4,401

7. There are 15 girls and 11 boys in Mr. Gittens’s class. How many students does Mr. Gittens have all together?

8. Which property of addition is shown below?0 ! 7 " 7

Daily Spiral Review

2-3Choose the best answer.

Daily Spiral Review

2-3

28421_031_048.indd 43 3/14/08 1:02:02 PM

© Pearson Education, Inc. 3

44

Topic 2

Tell what information is not needed. Then solve using a hundred chart. Matt caught 12 fireflies, Jason caught 14 fireflies, and Kenan caught 8 grasshoppers. How many fireflies did the boys catch?

2-3Problem of the DayProblem of the Day 2-3

Problem of the Day

2-3

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Topic 2 45

Quick Check

2-3Q

uick Check 2

-3

1. Use breaking apart to add 36 ! 24. Which expression does NOT show a correct way to do this?

A 3 ! 6 ! 2 ! 4

B 30 ! 6 ! 20 ! 4

C 36 ! 20 ! 4

D 30 ! 20 ! 6 ! 4

2. Use mental math to find the sum.

57 ! 18 " !

A 65

B 69

C 75

D 86

3. Lorna is playing a game. She gets 13 points on her first turn. She gets 17 points on her second turn. Use mental math to find her score so far.

A 31

B 30

C 29

D 20

4. Writing to Explain You have learned about the Associative (Grouping) Property of Addition. It says that you can group addends in any way and the sum will be the same. How do you use the Grouping Property when you break apart addends? Give an example.

28421_031_048.indd 45 1/16/08 4:48:33 PM

See students’ samples at the right.

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Topic 2 45

Quick Check

2-3Q

uick Check 2

-3

1. Use breaking apart to add 36 ! 24. Which expression does NOT show a correct way to do this?

A 3 ! 6 ! 2 ! 4

B 30 ! 6 ! 20 ! 4

C 36 ! 20 ! 4

D 30 ! 20 ! 6 ! 4

2. Use mental math to find the sum.

57 ! 18 " !

A 65

B 69

C 75

D 86

3. Lorna is playing a game. She gets 13 points on her first turn. She gets 17 points on her second turn. Use mental math to find her score so far.

A 31

B 30

C 29

D 20

4. Writing to Explain You have learned about the Associative (Grouping) Property of Addition. It says that you can group addends in any way and the sum will be the same. How do you use the Grouping Property when you break apart addends? Give an example.

28421_031_048.indd 45 3/14/08 1:02:05 PM

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46 Topic 2

Reteaching

2-3Re

teac

hing

2-3

Using Mental Math to AddYou can break apart numbers to make them easier to add mentally.

Add 31 ! 45 by breaking apart numbers.

Break the numbers into tens and ones.

tens ones

31 " 30 ! 1

45 " 40 ! 5

Add the tens: 30 ! 40 " 70.

Add the ones: 1 ! 5 " 6.

Add the sums: 70 ! 6 " 76.

So, 31 ! 45 " 76.

Add 26 ! 17 by breaking apart numbers to make a ten.

Use a number that adds with the 6 in 26 to make a 10. Since 6 ! 4 " 10, use 4.

Think: 17 " 4 ! 13.

Add 26 ! 4 " 30.

Add 30 ! 13 " 43.

So, 26 ! 17 " 43.

Find each sum using mental math.

1. 24 ! 71 " 2. 36 ! 43 " 3. 54 ! 23 " 4. 25 ! 49 " 5. 37 ! 56 " 6. 77 ! 13 " 7. Number Sense To add 32 ! 56, Juanita first added 30 ! 50.

What two steps does she still need to do to find the sum? What is Juanita’s sum?

8. Reasoning How can Steve add 48 ! 34 by making a ten? What is the sum?

28421_031_048.indd 46 1/16/08 4:48:35 PM

95 79 7774 93 90

She needs to add 2 ! 6 " 8 and then 80 ! 8 " 88.

Steve can break apart 34 as 32 ! 2, so he can make a ten by adding 48 ! 2 " 50. Then he can add 50 ! 32 " 82.

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46 Topic 2

Reteaching

2-3Re

teac

hing

2-3

Using Mental Math to AddYou can break apart numbers to make them easier to add mentally.

Add 31 ! 45 by breaking apart numbers.

Break the numbers into tens and ones.

tens ones

31 " 30 ! 1

45 " 40 ! 5

Add the tens: 30 ! 40 " 70.

Add the ones: 1 ! 5 " 6.

Add the sums: 70 ! 6 " 76.

So, 31 ! 45 " 76.

Add 26 ! 17 by breaking apart numbers to make a ten.

Use a number that adds with the 6 in 26 to make a 10. Since 6 ! 4 " 10, use 4.

Think: 17 " 4 ! 13.

Add 26 ! 4 " 30.

Add 30 ! 13 " 43.

So, 26 ! 17 " 43.

Find each sum using mental math.

1. 24 ! 71 " 2. 36 ! 43 " 3. 54 ! 23 " 4. 25 ! 49 " 5. 37 ! 56 " 6. 77 ! 13 " 7. Number Sense To add 32 ! 56, Juanita first added 30 ! 50.

What two steps does she still need to do to find the sum? What is Juanita’s sum?

8. Reasoning How can Steve add 48 ! 34 by making a ten? What is the sum?

28421_031_048.indd 46 3/14/08 1:02:06 PM

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Topic 2 47

Practice

2-3Practice 2

-3

Using Mental Math to AddUse breaking apart to add mentally.

1. 53 ! 34

34 " 30 !

53 ! " 83

83 ! " 87

So, 53 ! 34 "

2. 42 ! 29

29 " 20 !

42 ! " 62

! 9 " 71

So, 42 ! 29 "

3. 47 ! 41

41 " ! 1

47 ! " 87

! 1 " 88

So, 47 ! 41 "

Make a ten to add mentally.

4. 27 ! 24

24 " 3 !

27 ! " 30

! 21 " 51

So, 27 ! 24 "

5. 54 ! 19

19 " ! 6

! 6 " 60

60 ! " 73

So, 54 ! 19 "

6. 38 ! 27

27 " ! 25

38 ! " 40

40 ! " 65

So, 38 ! 27 "

Find each sum using mental math.

7. 52 ! 26 8. 47 ! 8 9. 32 ! 17 10. 28 ! 31

11. 43 ! 38 12. 72 ! 7 13. 42 ! 33 14. 36 ! 14

15. Number Sense Ashton broke apart a number into 30 ! 7. What number did he start with?

16. What is the sum of 27 ! 42 using mental math?

A 68 B 69 C 78 D 79

28421_031_048.indd 47 1/16/08 4:48:36 PM

78 55 49 59

81 79 75 50

37

4 9 4030 20 40

62 8787 71 88

21 13 23 54

30 13 2551 73 65

4

2

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Topic 2 47

Practice

2-3Practice 2

-3

Using Mental Math to AddUse breaking apart to add mentally.

1. 53 ! 34

34 " 30 !

53 ! " 83

83 ! " 87

So, 53 ! 34 "

2. 42 ! 29

29 " 20 !

42 ! " 62

! 9 " 71

So, 42 ! 29 "

3. 47 ! 41

41 " ! 1

47 ! " 87

! 1 " 88

So, 47 ! 41 "

Make a ten to add mentally.

4. 27 ! 24

24 " 3 !

27 ! " 30

! 21 " 51

So, 27 ! 24 "

5. 54 ! 19

19 " ! 6

! 6 " 60

60 ! " 73

So, 54 ! 19 "

6. 38 ! 27

27 " ! 25

38 ! " 40

40 ! " 65

So, 38 ! 27 "

Find each sum using mental math.

7. 52 ! 26 8. 47 ! 8 9. 32 ! 17 10. 28 ! 31

11. 43 ! 38 12. 72 ! 7 13. 42 ! 33 14. 36 ! 14

15. Number Sense Ashton broke apart a number into 30 ! 7. What number did he start with?

16. What is the sum of 27 ! 42 using mental math?

A 68 B 69 C 78 D 79

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48 Topic 2

Enrichment

2-3En

richm

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-3

Break It Up and Add 1. Which choice helps the most to solve 43 ! 8?

A Think of 8 as 4 ! 4.

B Think of 43 as 44 " 1.

C Think of 8 as 10 " 2.

Explain.

43 ! 8 #

2. Which choice helps the most to solve 67 ! 29?

A Think of 67 as 63 ! 4.

B Think of 29 as 30 " 1.

C Think of 29 as 25 ! 4.

Explain.

67 ! 29 #

3. Which choice does NOT help you solve 63 ! 28 using mental math?

A Think of 63 as 60 ! 3.

B Think of 28 as 30 " 2.

C Think of 28 as 25 ! 3.

Explain.

63 ! 28 #

Number Sense

28421_031_048.indd 48 1/16/08 4:48:37 PM

Add 43 ! 10 " 53, then subtract 2.51

96

Add 67 ! 30 " 97, then subtract 1.

91

You should find the sum using tens. 25 is not a tens number.

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Enrichment

2-3En

richm

ent 2

-3

Break It Up and Add 1. Which choice helps the most to solve 43 ! 8?

A Think of 8 as 4 ! 4.

B Think of 43 as 44 " 1.

C Think of 8 as 10 " 2.

Explain.

43 ! 8 #

2. Which choice helps the most to solve 67 ! 29?

A Think of 67 as 63 ! 4.

B Think of 29 as 30 " 1.

C Think of 29 as 25 ! 4.

Explain.

67 ! 29 #

3. Which choice does NOT help you solve 63 ! 28 using mental math?

A Think of 63 as 60 ! 3.

B Think of 28 as 30 " 2.

C Think of 28 as 25 ! 3.

Explain.

63 ! 28 #

Number Sense

28421_031_048.indd 48 3/14/08 1:02:09 PM

12

67 54

2111

10

839

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Topic 2 49

Daily Spiral Review

2-4

Daily Spiral Review

2-4

1. A leopard can live as many as 23 years. A monkey can live 14 more years than a leopard. How many years can a monkey live?

A 37

B 36

C 27

D 9

2. An encyclopedia has 24 volumes. Mrs. Anderson lent 7 volumes to Katie. How many volumes does Mrs. Anderson have left?

A 7

B 17

C 21

D 31

3. Ms. Robinson leaves work at the time shown on the clock below.

At what time does she leave work?

A 3:05

B 3:25

C 5:03

D 5:15

4. Write 3,549 in expanded form.

5. Len has these bills and coins in his pocket.

What is the total value of the money in Len’s pocket?

6. There are 16 counties in Maine. California has 42 more counties than Maine. How many counties does California have?

7. Marisa is counting wheels on bicycles and tricycles at the park. She counted 3 vehicles and 7 wheels. How many bicycles and how many tricycles did Marisa see?

Choose the best answer.

28421_039_063.indd 49 1/16/08 4:49:36 PM

12

67 54

2111

10

839

3,000 ! 500 !40 ! 9

58

2 bicycles and 1 tricycle

$7.81

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Topic 2 49

Daily Spiral Review

2-4

Daily Spiral Review

2-4

1. A leopard can live as many as 23 years. A monkey can live 14 more years than a leopard. How many years can a monkey live?

A 37

B 36

C 27

D 9

2. An encyclopedia has 24 volumes. Mrs. Anderson lent 7 volumes to Katie. How many volumes does Mrs. Anderson have left?

A 7

B 17

C 21

D 31

3. Ms. Robinson leaves work at the time shown on the clock below.

At what time does she leave work?

A 3:05

B 3:25

C 5:03

D 5:15

4. Write 3,549 in expanded form.

5. Len has these bills and coins in his pocket.

What is the total value of the money in Len’s pocket?

6. There are 16 counties in Maine. California has 42 more counties than Maine. How many counties does California have?

7. Marisa is counting wheels on bicycles and tricycles at the park. She counted 3 vehicles and 7 wheels. How many bicycles and how many tricycles did Marisa see?

Choose the best answer.

28421_039_063.indd 49 3/14/08 12:59:40 PM

© Pearson Education, Inc. 3

50

Topic 2

Brooke bought a pencil and an eraser. How much did she spend?

2-4Problem of the DayProblem of the Day 2-4

School Supply Store Eraser 15¢ Pen 55¢ Pencil 35¢ Ruler 65¢

Problem of the Day

2-4

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Topic 2 51

Interactive Learning Recording Sheet 3

Interactive Learning Recording Sheet

3Addition Number Sense: Rounding

1. rounds to

2. rounds to

3. rounds to

4. rounds to

5. rounds to

6. rounds to

Work with a partner. Use the number lines above. Be ready to explain your work.

7. Round 28 to the nearest 10.

8. Round 466 to the nearest hundred.

9. Round 233 to the nearest ten.

20 30

400 500

230 240

28421_039_063.indd 51 1/16/08 4:49:39 PM

27 3021 20

410 400448 400

234 230236 240

30500

230

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Topic 2 51

Interactive Learning Recording Sheet 3

Interactive Learning Recording Sheet

3Addition Number Sense: Rounding

1. rounds to

2. rounds to

3. rounds to

4. rounds to

5. rounds to

6. rounds to

Work with a partner. Use the number lines above. Be ready to explain your work.

7. Round 28 to the nearest 10.

8. Round 466 to the nearest hundred.

9. Round 233 to the nearest ten.

20 30

400 500

230 240

28421_039_063.indd 51 3/14/08 12:59:43 PM

530 535 540 545 550

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Qui

ck C

heck

2-4

Quick Check

2-4

1. Zoller School has a total 542 students. Rounded to the nearest ten, about how many students go to Zoller School?

A 550

B 540

C 530

D 500

2. The Klines are taking a car trip. They will drive 365 miles to visit family members in Maine. To the nearest hundred, about how many miles will the Klines drive?

A 300

B 360

C 370

D 400

3. Becky has a secret number. To the nearest ten or the nearest hundred, her number rounds to 200. Which could be Becky’s number?

A 186

B 192

C 204

D 208

4. Writing to Explain Describe the steps you would follow to round 647 to the nearest ten.

28421_039_063.indd 52 1/16/08 4:49:40 PM

530 535 540 545 550

See students’ samples at the right.

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Qui

ck C

heck

2-4

Quick Check

2-4

1. Zoller School has a total 542 students. Rounded to the nearest ten, about how many students go to Zoller School?

A 550

B 540

C 530

D 500

2. The Klines are taking a car trip. They will drive 365 miles to visit family members in Maine. To the nearest hundred, about how many miles will the Klines drive?

A 300

B 360

C 370

D 400

3. Becky has a secret number. To the nearest ten or the nearest hundred, her number rounds to 200. Which could be Becky’s number?

A 186

B 192

C 204

D 208

4. Writing to Explain Describe the steps you would follow to round 647 to the nearest ten.

28421_039_063.indd 52 3/14/08 12:59:45 PM

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Topic 2 53

Reteaching 2-4

RoundingYou can use place value to round to the nearest ten or hundred.

Find the rounding place. If the digit in the ones or the tens place is 5, 6, 7, 8, or 9, then round to the next greater number. If the digit is less than 5, do not change the digit in the rounding place.

Round 17 to the nearest ten: 20 Explain. 7 is in the ones place. Round to the next greater ten.

Round 153 to the nearest ten. 150 Explain. Because 3 is in the ones place and 3 is less than 5, the digit in

the tens place doesn’t change.

Round 575 to the nearest hundred. 600 Explain. Because the 7 in the tens place is 5 or greater, round to the

next greater hundred.

1. Round 63 to the nearest ten: Explain. Round each number to the nearest ten.

2. 58 3. 71 4. 927 5. 3,121

Round each number to the nearest hundred.

6. 577 7. 820 8. 2,345 9. 8,750

10. Reasoning If you live 71 mi from a river, does it make sense to say you live about 80 mi from the river? Explain.

Reteaching

2-4

28421_039_063.indd 53 1/16/08 4:49:41 PM

6 stays the same.

60Three is in the ones place, so the

60

600

70

800

930

2,300

3,120

8,800

No. To the nearest ten, 71 rounds to 70.

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Topic 2 53

Reteaching 2-4

RoundingYou can use place value to round to the nearest ten or hundred.

Find the rounding place. If the digit in the ones or the tens place is 5, 6, 7, 8, or 9, then round to the next greater number. If the digit is less than 5, do not change the digit in the rounding place.

Round 17 to the nearest ten: 20 Explain. 7 is in the ones place. Round to the next greater ten.

Round 153 to the nearest ten. 150 Explain. Because 3 is in the ones place and 3 is less than 5, the digit in

the tens place doesn’t change.

Round 575 to the nearest hundred. 600 Explain. Because the 7 in the tens place is 5 or greater, round to the

next greater hundred.

1. Round 63 to the nearest ten: Explain. Round each number to the nearest ten.

2. 58 3. 71 4. 927 5. 3,121

Round each number to the nearest hundred.

6. 577 7. 820 8. 2,345 9. 8,750

10. Reasoning If you live 71 mi from a river, does it make sense to say you live about 80 mi from the river? Explain.

Reteaching

2-4

28421_039_063.indd 53 3/14/08 12:59:46 PM

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54 Topic 2

Prac

tice 2-4

RoundingRound to the nearest ten.

1. 37 2. 93 3. 78 4. 82 5. 24

6. 426 7. 329 8. 815 9. 163 10. 896

Round to the nearest hundred.

11. 395 12. 638 13. 782 14. 246 15. 453

16. 529 17. 877 18. 634 19. 329 20. 587

21. Number Sense Tyrell says 753 rounds to 800. Sara says 753

rounds to 750. Who is correct? Explain.

22. Explain It How would you use a number line to round 148 to the nearest ten.

23. There are 254 counties in Texas. What is that number rounded to the nearest ten? What is that number rounded to the nearest hundred?

24. Which number does not round to 400?

A 347 B 369 C 413 D 448

Practice

2-4

28421_039_063.indd 54 1/16/08 4:49:43 PM

40

430

400

500

90

330

600

900

80

820

800

600

80

160

200

300

20

900

500

600

Both are correct. Tyrell rounded 753 to the nearest hundred and Sara rounded 753 to the nearest ten.

Since 148 is closer to 150 than to 140 on a number line, 148 rounds to 150.

250, 300

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Prac

tice 2-4

RoundingRound to the nearest ten.

1. 37 2. 93 3. 78 4. 82 5. 24

6. 426 7. 329 8. 815 9. 163 10. 896

Round to the nearest hundred.

11. 395 12. 638 13. 782 14. 246 15. 453

16. 529 17. 877 18. 634 19. 329 20. 587

21. Number Sense Tyrell says 753 rounds to 800. Sara says 753

rounds to 750. Who is correct? Explain.

22. Explain It How would you use a number line to round 148 to the nearest ten.

23. There are 254 counties in Texas. What is that number rounded to the nearest ten? What is that number rounded to the nearest hundred?

24. Which number does not round to 400?

A 347 B 369 C 413 D 448

Practice

2-4

28421_039_063.indd 54 3/14/08 12:59:47 PM

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Topic 2 55

Enrichment 2

-4

And the Answer Is?

1. If 569 rounds to 570, what is the rounding place?

2. When this 3-digit number is rounded to the nearest ten, the sum of its digits is 16. The hundreds digit of this number is 8 and the ones digit is 5. What is the number?

3. When this 3-digit number is rounded to the nearest ten, it rounds to 350. The number is less than 360 and greater than 350. The ones digit is an even number that you count after 2. What is the number?

4. When this 3-digit number is rounded to the nearest hundred, it rounds to 200. Rounded to the nearest ten, this number rounds to 200. The sum of the digits of this number is 19. What is the number?

5. When this 3-digit number is rounded to the nearest ten or hundred, the numbers round up. All of the digits in this number are the same. The sum of the digits is 15. What is the number?

6. When this 3-digit number is rounded to the nearest hundred, it rounds up to 500. The hundreds digit is less than 6. The digits in the tens and ones place add to a sum of 10 and they are the same. What is the number?

7. When this 3-digit number is rounded to the nearest hundred it rounds down to 900. The digit in the ones place is the fifth odd number that you count beginning with 1. The sum of the digits is 22. What is the number?

Estimation

Enrichment

2-4

28421_039_063.indd 55 1/16/08 4:49:45 PM

Tens place

875

354

199

555

455

949

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Topic 2 55

Enrichment 2

-4

And the Answer Is?

1. If 569 rounds to 570, what is the rounding place?

2. When this 3-digit number is rounded to the nearest ten, the sum of its digits is 16. The hundreds digit of this number is 8 and the ones digit is 5. What is the number?

3. When this 3-digit number is rounded to the nearest ten, it rounds to 350. The number is less than 360 and greater than 350. The ones digit is an even number that you count after 2. What is the number?

4. When this 3-digit number is rounded to the nearest hundred, it rounds to 200. Rounded to the nearest ten, this number rounds to 200. The sum of the digits of this number is 19. What is the number?

5. When this 3-digit number is rounded to the nearest ten or hundred, the numbers round up. All of the digits in this number are the same. The sum of the digits is 15. What is the number?

6. When this 3-digit number is rounded to the nearest hundred, it rounds up to 500. The hundreds digit is less than 6. The digits in the tens and ones place add to a sum of 10 and they are the same. What is the number?

7. When this 3-digit number is rounded to the nearest hundred it rounds down to 900. The digit in the ones place is the fifth odd number that you count beginning with 1. The sum of the digits is 22. What is the number?

Estimation

Enrichment

2-4

28421_039_063.indd 55 3/14/08 12:59:49 PM

Length of World Tunnels

App

roxi

mat

e Le

ngth

(mi) 14

1210

86420

Rogers PassCanada

St. GotthardSwitzerland

ShimizuJapan

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56 Topic 2

Daily Spiral Review

2-5

Dai

ly S

pira

l Rev

iew

2-5

1. There were 283 people at a parade. The local newspaper rounded the attendance to the nearest hundred. How many people did the newspaper say attended the parade?

A 200

B 280

C 290

D 300

2. Which number is greater than 235,187?

A 235,167

B 234,988

C 225,187

D 235,188

3. How much longer is the St. Gotthard Tunnel than the Shimizu Tunnel?

A 5 miles

B 4 miles

C 3 miles

D 2 miles

4. George goes to sleep at the time shown on the digital clock below. Using words, write when George goes to sleep.

5. Christine is playing a board game. She scored 35 points on her first turn. On her next turn, she scored 26 points. How many points did Christine score in all?

6. Use the chart below to order the lengths of the rivers from least to greatest.

North American Rivers

River Length (in miles)

Peace 1,210

Snake 1,038

Mackenzie 1,060

Columbia 1,243

7. Write 7,093 in word form.

Choose the best answer.

28421_039_063.indd 56 1/16/08 4:49:46 PM

Length of World Tunnels

App

roxi

mat

e Le

ngth

(mi) 14

121086420

Rogers PassCanada

St. GotthardSwitzerland

ShimizuJapan

61

Snake, Mackenzie, Peace, Columbia

seven thousand, ninety-three

Accept eight-fifty, ten to nine,or fifty minutes past eight.

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56 Topic 2

Daily Spiral Review

2-5

Dai

ly S

pira

l Rev

iew

2-5

1. There were 283 people at a parade. The local newspaper rounded the attendance to the nearest hundred. How many people did the newspaper say attended the parade?

A 200

B 280

C 290

D 300

2. Which number is greater than 235,187?

A 235,167

B 234,988

C 225,187

D 235,188

3. How much longer is the St. Gotthard Tunnel than the Shimizu Tunnel?

A 5 miles

B 4 miles

C 3 miles

D 2 miles

4. George goes to sleep at the time shown on the digital clock below. Using words, write when George goes to sleep.

5. Christine is playing a board game. She scored 35 points on her first turn. On her next turn, she scored 26 points. How many points did Christine score in all?

6. Use the chart below to order the lengths of the rivers from least to greatest.

North American Rivers

River Length (in miles)

Peace 1,210

Snake 1,038

Mackenzie 1,060

Columbia 1,243

7. Write 7,093 in word form.

Choose the best answer.

28421_039_063.indd 56 3/14/08 12:59:50 PM

© Pearson Education, Inc. 3

Topic 2 5

7

Hector rounded his number to the nearest ten and got 100. What could Hector’s number have been? List all possible answers.

2-5Problem of the Day

Problem of the Day

2-5

Problem of the Day 2-5

28421_039_063.indd 571/16/08 4:49:47 P

M

Addition Number Sense: Estimating Sums

Type of BearWeight

Female MaleSun Bear 78 pounds 95 pounds

Black Bear 215 pounds 345 pounds

rounds to

rounds to

Estimated sum: ! "

So, the weight of is greater than

the weight of .

is a compatible number for

is a compatible number for

Estimated sum: ! "

So, the weight of is greater than the weight of

.

rounds to

rounds to

Estimated sum: ! "

So, the weight of is greater than the weight of

.

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Interactive Learning Recording Sheet

4

Inte

ract

ive

Lear

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Re

cord

ing

Shee

t 4

28421_039_063.indd 58 1/16/08 4:49:49 PM

Addition Number Sense: Estimating Sums

Type of BearWeight

Female MaleSun Bear 78 pounds 95 pounds

Black Bear 215 pounds 345 pounds

rounds to

rounds to

Estimated sum: ! "

So, the weight of is greater than

the weight of .

is a compatible number for

is a compatible number for

Estimated sum: ! "

So, the weight of is greater than the weight of

.

rounds to

rounds to

Estimated sum: ! "

So, the weight of is greater than the weight of

.

78 8095 100

80 100 180the female black bear

2 sun bears210 215

345340210 340 550600

the female and male black bears215 200 or 220345 300 or 350

210or 220

300or 350

500 or 570

600the female and male black bears

JacksonName

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Interactive Learning Recording Sheet

4

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28421_039_063.indd 58 3/14/08 12:59:53 PM

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Topic 2 59

1. The table shows how many books are in a class library. To the nearest ten books, about how many poetry and biography books are there?

A 270

B 220

C 200

D 120

2. Jed is in a flying disc contest. His first throw goes 97 feet. His next throw goes 128 feet. Which number sentence shows the best way to estimate the total distance of both throws?

A 100 ! 100 " 200

B 100 ! 120 " 220

C 97 ! 128 " 225

D 100 ! 130 " 230

3. Writing to Explain A car in a carnival ride can hold 400 pounds. Dad weighs 196 pounds. Mom weighs 133 pounds. Can both ride the car safely together? Explain how you would estimate to find your answer. Tell how you know your answer makes sense.

Quick Check

2-5

Type of Book NumberFiction 223Poetry 51Biography 146Science 70

Quick C

heck 2-5

28421_039_063.indd 59 1/16/08 4:49:50 PM

See students’ samples at the right.

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Topic 2 59

1. The table shows how many books are in a class library. To the nearest ten books, about how many poetry and biography books are there?

A 270

B 220

C 200

D 120

2. Jed is in a flying disc contest. His first throw goes 97 feet. His next throw goes 128 feet. Which number sentence shows the best way to estimate the total distance of both throws?

A 100 ! 100 " 200

B 100 ! 120 " 220

C 97 ! 128 " 225

D 100 ! 130 " 230

3. Writing to Explain A car in a carnival ride can hold 400 pounds. Dad weighs 196 pounds. Mom weighs 133 pounds. Can both ride the car safely together? Explain how you would estimate to find your answer. Tell how you know your answer makes sense.

Quick Check

2-5

Type of Book NumberFiction 223Poetry 51Biography 146Science 70

Quick C

heck 2-5

28421_039_063.indd 59 3/14/08 12:59:54 PM

136 152

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Rete

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ng 2-5Reteaching

2-5Estimating SumsSuppose your class has a goal of saving 275 cereal box tops.

Does your class have enough box tops to reach the goal?

Since you only need to know if you have enough, you can estimate.

You can estimate by rounding. You can round each addend to the nearest ten or hundred. Then add the rounded numbers.

Round to the nearest ten. Round to the nearest hundred.

136 ! 140 136 ! 100

! 152 ! 150 ! 152 ! 200 290 300

Since 290 " 275, you have enough. Since 300 " 275, you have enough.

Round to the nearest ten to estimate each sum.

1. 42 ! 98 # 2. 36 ! 59 # 3. 288 ! 475 # Round to the nearest hundred to estimate each sum.

4. 378 ! 136 # 5. 436 ! 309 # 6. 76 ! 487 # 7. Reasonableness Sun-Yi estimated 270 ! 146 and got 300.

Is her estimate reasonable? Explain.

28421_039_063.indd 60 1/16/08 4:49:52 PM

136 152

140 100 770

500 700 600

No. If you round to the nearest hundred the estimate

is 300 ! 100 " 400. If you round to the nearest ten the estimate is 270 ! 150 " 420.

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60 Topic 2

Rete

achi

ng 2-5Reteaching

2-5Estimating SumsSuppose your class has a goal of saving 275 cereal box tops.

Does your class have enough box tops to reach the goal?

Since you only need to know if you have enough, you can estimate.

You can estimate by rounding. You can round each addend to the nearest ten or hundred. Then add the rounded numbers.

Round to the nearest ten. Round to the nearest hundred.

136 ! 140 136 ! 100

! 152 ! 150 ! 152 ! 200 290 300

Since 290 " 275, you have enough. Since 300 " 275, you have enough.

Round to the nearest ten to estimate each sum.

1. 42 ! 98 # 2. 36 ! 59 # 3. 288 ! 475 # Round to the nearest hundred to estimate each sum.

4. 378 ! 136 # 5. 436 ! 309 # 6. 76 ! 487 # 7. Reasonableness Sun-Yi estimated 270 ! 146 and got 300.

Is her estimate reasonable? Explain.

28421_039_063.indd 60 3/14/08 12:59:56 PM

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Topic 2 61

Practice 2-5

Estimating SumsRound to the nearest ten to estimate.

1. 58 ! 43 2. 87 ! 69 3. 37 ! 141 4. 422 ! 296

Round to the nearest hundred to estimate.

5. 536 ! 393 6. 242 ! 359 7. 713 ! 82 8. 313 ! 405

Use compatible numbers to estimate. Sample answers are given. Accept reasonable answers.

9. 83 ! 34 10. 329 ! 64 11. 212 ! 347 12. 537 ! 244

13. Reasonableness Miguel has 325 baseball cards and

272 football cards. He said that he has 597 cards in all. Is his answer reasonable? Explain using estimation.

14. Write a Problem Natalie has 138 DVDs and 419 CDs. If you were to estimate the sum of the DVDs and CDs, what sentence could you write? Then find your estimated sum.

15. Which of the following shows estimating 287 ! 491 by using compatible numbers?

A 100 ! 500 B 300 ! 400 C 280 ! 400 D 280 ! 500

Practice

2-5

28421_039_063.indd 61 1/16/08 4:49:53 PM

100

900

120

160

600

395

180

800

560

720

700

780

Miguel’s answer is reasonable. Round the number of

cards to the nearest ten: 325 rounds to 330 and 272

rounds to 270, and 330 ! 270 " 600. Since 597 is close to 600, the answer is reasonable.

Possible answers: 140 ! 420 " 560 or 100 ! 400 " 500

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Topic 2 61

Practice 2-5

Estimating SumsRound to the nearest ten to estimate.

1. 58 ! 43 2. 87 ! 69 3. 37 ! 141 4. 422 ! 296

Round to the nearest hundred to estimate.

5. 536 ! 393 6. 242 ! 359 7. 713 ! 82 8. 313 ! 405

Use compatible numbers to estimate. Sample answers are given. Accept reasonable answers.

9. 83 ! 34 10. 329 ! 64 11. 212 ! 347 12. 537 ! 244

13. Reasonableness Miguel has 325 baseball cards and

272 football cards. He said that he has 597 cards in all. Is his answer reasonable? Explain using estimation.

14. Write a Problem Natalie has 138 DVDs and 419 CDs. If you were to estimate the sum of the DVDs and CDs, what sentence could you write? Then find your estimated sum.

15. Which of the following shows estimating 287 ! 491 by using compatible numbers?

A 100 ! 500 B 300 ! 400 C 280 ! 400 D 280 ! 500

Practice

2-5

28421_039_063.indd 61 3/14/08 12:59:57 PM

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62 Topic 2

Decision Making

Enric

hmen

t 2-5

Art SuppliesThe Art Club is planning to buy new supplies. There are 12 students in the club. The list at the right shows the different packages and the price for each package. The club plans to buy only 2 packages from the list.

1. Which two packages on the list are the least expensive?

2. Which two packages are the most expensive?

3. Which two packages on the list cost about $40 all together?

4. Which two packages on the list cost about $85 all together?

5. Besides the cost of the items, what are two questions that the Art Club should ask before purchasing supplies?

6. Without a spending limit, which two packages should the Art Club buy? Explain your answer.

Supply Packages Price

1 dozen paintbrushes $24

6 watercolor sets $54

2 dozen pads of paper $72

4 sets of colored pencils $18

12 tubes of oil paint $33

Enrichment

2-5

28421_039_063.indd 62 1/16/08 4:49:54 PM

Paintbrushes and colored pencils

Watercolor sets and paper

Paintbrushes and colored pencils

Watercolor sets and oil paint

Sample answers: What supplies does the club need the most? What supplies do members use the most?

Sample answer: Paper and watercolor sets; They contain the most supplies.

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62 Topic 2

Decision Making

Enric

hmen

t 2-5

Art SuppliesThe Art Club is planning to buy new supplies. There are 12 students in the club. The list at the right shows the different packages and the price for each package. The club plans to buy only 2 packages from the list.

1. Which two packages on the list are the least expensive?

2. Which two packages are the most expensive?

3. Which two packages on the list cost about $40 all together?

4. Which two packages on the list cost about $85 all together?

5. Besides the cost of the items, what are two questions that the Art Club should ask before purchasing supplies?

6. Without a spending limit, which two packages should the Art Club buy? Explain your answer.

Supply Packages Price

1 dozen paintbrushes $24

6 watercolor sets $54

2 dozen pads of paper $72

4 sets of colored pencils $18

12 tubes of oil paint $33

Enrichment

2-5

28421_039_063.indd 62 3/14/08 12:59:58 PM

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Topic 2 63

Daily Spiral Review

2-6

Daily Spiral Review

2-6

Choose the best answer.

1. Margot has the money shown below in her backpack.

What is the value of the money in Margot’s backpack?

A $6.77

B $6.72

C $6.67

D $6.57

2. Which describes the pattern below?72, 64, 56, 48, 40, …

A Add 8

B Subtract 8

C Subtract 12

D Add 12

3. What is 312 rounded to the nearest ten?

A 300

B 310

C 320

D 400

4. Order the numbers from least to greatest.

961, 971, 917, 977

5. There are 276 students at Johnson Elementary School. There are 412 students at Eisenhower Elementary School. Estimate the total number of students all together.

Use this information to answer 6 and 7.

Phil has 10 golf balls. Steve has twice as many golf balls as Phil. Paul has 2 more golf balls than Phil and Steve have all together.

6. How many golf balls does Steve have?

7. How many golf balls does Paul have?

28421_039_063.indd 63 1/16/08 4:49:56 PM

917, 961, 971, 977

Accept 690 or 700

20

32

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Topic 2 63

Daily Spiral Review

2-6

Daily Spiral Review

2-6

Choose the best answer.

1. Margot has the money shown below in her backpack.

What is the value of the money in Margot’s backpack?

A $6.77

B $6.72

C $6.67

D $6.57

2. Which describes the pattern below?72, 64, 56, 48, 40, …

A Add 8

B Subtract 8

C Subtract 12

D Add 12

3. What is 312 rounded to the nearest ten?

A 300

B 310

C 320

D 400

4. Order the numbers from least to greatest.

961, 971, 917, 977

5. There are 276 students at Johnson Elementary School. There are 412 students at Eisenhower Elementary School. Estimate the total number of students all together.

Use this information to answer 6 and 7.

Phil has 10 golf balls. Steve has twice as many golf balls as Phil. Paul has 2 more golf balls than Phil and Steve have all together.

6. How many golf balls does Steve have?

7. How many golf balls does Paul have?

28421_039_063.indd 63 3/14/08 1:00:00 PM

© Pearson Education, Inc. 3

64

Topic 2

2-6Problem of the DayProblem

of the Day

2-6

Write a number sentence. Then solve.Hope had 14 dolls in her collection. She received 2 more as gifts. How many dolls did Hope have then?

Problem of the Day 2-6

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Topic 2 65

Quick Check

2-6Q

uick Check 2

-6

1. Two teams had a tug-of-war. There were 28 kids on the red team. There were 27 kids on the blue team. How many kids were in the tug-of-war in all?

A 45

B 46

C 54

D 55

2. Clay rode his bike 56 miles last week. He rode his bike 67 miles this week. He hopes to ride 72 miles next week. Which number sentence shows how many miles Clay has ridden so far?

A 56 ! 67 " !

B 56 ! 72 " !

C 56 ! 67 ! 72 " !

D 72 # 67 " !

3. Writing to Explain Suppose you want to estimate the sum of 86 and 19. Explain your thinking. Then show how to find the exact sum. Explain how to know if your answer makes sense.

28421_064_087.indd 65 1/16/08 4:47:16 PM

See students’ samples at the right.

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Topic 2 65

Quick Check

2-6Q

uick Check 2

-6

1. Two teams had a tug-of-war. There were 28 kids on the red team. There were 27 kids on the blue team. How many kids were in the tug-of-war in all?

A 45

B 46

C 54

D 55

2. Clay rode his bike 56 miles last week. He rode his bike 67 miles this week. He hopes to ride 72 miles next week. Which number sentence shows how many miles Clay has ridden so far?

A 56 ! 67 " !

B 56 ! 72 " !

C 56 ! 67 ! 72 " !

D 72 # 67 " !

3. Writing to Explain Suppose you want to estimate the sum of 86 and 19. Explain your thinking. Then show how to find the exact sum. Explain how to know if your answer makes sense.

28421_064_087.indd 65 3/14/08 1:02:19 PM

1

Tens Ones

Tens Ones

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Reteaching

2-6Adding 2-Digit NumbersTo find 27 ! 57, first estimate by rounding. Since 7 " 5, round 27 to 30 and 57 to 60. Then add: 30 ! 60 # 90.

Estimate. Then find each sum.

1. 28! 34

2. 56! 22

3. 84! 17

4. 49! 72

5. 26! 19

6. 65! 23

7. 22! 79

8. 38! 85

9. Reasonableness Hannah added 65 and 26 and got 81. Is this answer reasonable? Explain.

Rete

achi

ng 2-6

28421_064_087.indd 66 1/16/08 4:47:18 PM

1

Tens Ones

Tens Ones

60, 62 80, 78 100, 101 120, 121

50, 45 90, 88 100, 101 130, 123

No; The estimate would be close to 90.The actual answer is 91.

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66 Topic 2

Reteaching

2-6Adding 2-Digit NumbersTo find 27 ! 57, first estimate by rounding. Since 7 " 5, round 27 to 30 and 57 to 60. Then add: 30 ! 60 # 90.

Estimate. Then find each sum.

1. 28! 34

2. 56! 22

3. 84! 17

4. 49! 72

5. 26! 19

6. 65! 23

7. 22! 79

8. 38! 85

9. Reasonableness Hannah added 65 and 26 and got 81. Is this answer reasonable? Explain.

Rete

achi

ng 2-6

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Topic 2 67

Practice

2-6Adding 2-Digit NumbersEstimate. Then find each sum.

1. 73! 19

2. 16! 48

3. 52! 79

4. 28! 25

5. 47! 34

6. 53! 45

7. 37! 21

8. 63! 24

9. 59! 76

10. 29! 44

11. 58 ! 28

12. 53 ! 72

13. 66 ! 23

14. 42 ! 31

15. 36 ! 52

16. Critical Thinking Mr. McWilliams drove 76 miles Monday and 43 miles Tuesday. Follow the steps to find how many miles Mr. McWilliams drove all together.

a. Write a number sentence to show how to solve the problem.

b. Estimate the total distance Mr. McWilliams drove.

c. Find the actual total distance.

17. Reasoning Using four different digits, what is the least sum you can get when you add two 2-digit numbers? Write your problem.

18. There are 72 people on a train when 25 more people enter. How many people are on the train now?

A 79 B 87 C 97 D 98

Practice 2-6

28421_064_087.indd 67 1/16/08 4:47:19 PM

90; 92 70; 64 130; 131 60; 53 80; 81

100; 98 60; 58 80; 87 140; 135 70; 73

90; 86 120; 125 90; 89 70; 73 90; 88

76 ! 43 " !

80 ! 40 " 120

76 ! 43 " 119

33; 13 ! 20 " 33 or 10 ! 23 " 33

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Topic 2 67

Practice

2-6Adding 2-Digit NumbersEstimate. Then find each sum.

1. 73! 19

2. 16! 48

3. 52! 79

4. 28! 25

5. 47! 34

6. 53! 45

7. 37! 21

8. 63! 24

9. 59! 76

10. 29! 44

11. 58 ! 28

12. 53 ! 72

13. 66 ! 23

14. 42 ! 31

15. 36 ! 52

16. Critical Thinking Mr. McWilliams drove 76 miles Monday and 43 miles Tuesday. Follow the steps to find how many miles Mr. McWilliams drove all together.

a. Write a number sentence to show how to solve the problem.

b. Estimate the total distance Mr. McWilliams drove.

c. Find the actual total distance.

17. Reasoning Using four different digits, what is the least sum you can get when you add two 2-digit numbers? Write your problem.

18. There are 72 people on a train when 25 more people enter. How many people are on the train now?

A 79 B 87 C 97 D 98

Practice 2-6

28421_064_087.indd 67 3/14/08 1:02:22 PM

48 73

39105

7

9 6 1 1 0

1 2

9 5

4

2

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68 Topic 2

Enrichment

2-6Model the SumDraw the missing tens and ones for each sum.

1. 2.

3. 4.

Write the missing numbers.

5. 6. 7.

Number Sense

Enric

hmen

t 2-6

28421_064_087.indd 68 1/16/08 4:47:21 PM

48 73

39105

7

9 6 1 1 0

1 2

9 5

4

2

For 1–4, sample answers are given.

39 8 5

3

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68 Topic 2

Enrichment

2-6Model the SumDraw the missing tens and ones for each sum.

1. 2.

3. 4.

Write the missing numbers.

5. 6. 7.

Number Sense

Enric

hmen

t 2-6

28421_064_087.indd 68 3/14/08 1:02:24 PM

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Topic 2 69

Daily Spiral Review

2-7

Daily Spiral Review

2-7

Choose the best answer.

1. The Spurs scored 18 points in the ! rst quarter. They scored 27 more points before halftime. How many total points did the Spurs have at halftime?

A 35

B 44

C 45

D 55

2. Carrie has $0.81 in her pocket. Which coins could she have?

A 3 quarters and 1 penny

B 3 quarters, 1 nickel, and 1 penny

C 3 quarters, 1 dime, and 1 penny

D 3 quarters and 1 nickel

3. Carlos earns $5 allowance each week. How much money will he earn after 4 weeks?

Number of Weeks 1 2 3 4

Money Earned $5 $10

A $40

B $25

C $20

D $15

Compare the numbers. Use !, ", or # to answer 4 and 5.

4. 673 773

5. 2,107 2,017

6. Melissa read 38 pages of a book yesterday. Today she read 46 more pages. How many pages of the book has Melissa read all together?

7. Write an example of the Associative Property of Addition using the numbers 3, 4, and 7.

8. Artie has $0.25. He does not have any pennies. In how many different ways can Artie have $0.25?

List them.

28421_064_087.indd 69 1/16/08 4:47:22 PM

<>

Possible answer: 3 ! (7 ! 4) " (3 ! 7) ! 4

1 quarter, 2 dimes and 1 nickel, 1 dime and 3 nickels, 5 nickels

84

4

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Topic 2 69

Daily Spiral Review

2-7

Daily Spiral Review

2-7

Choose the best answer.

1. The Spurs scored 18 points in the ! rst quarter. They scored 27 more points before halftime. How many total points did the Spurs have at halftime?

A 35

B 44

C 45

D 55

2. Carrie has $0.81 in her pocket. Which coins could she have?

A 3 quarters and 1 penny

B 3 quarters, 1 nickel, and 1 penny

C 3 quarters, 1 dime, and 1 penny

D 3 quarters and 1 nickel

3. Carlos earns $5 allowance each week. How much money will he earn after 4 weeks?

Number of Weeks 1 2 3 4

Money Earned $5 $10

A $40

B $25

C $20

D $15

Compare the numbers. Use !, ", or # to answer 4 and 5.

4. 673 773

5. 2,107 2,017

6. Melissa read 38 pages of a book yesterday. Today she read 46 more pages. How many pages of the book has Melissa read all together?

7. Write an example of the Associative Property of Addition using the numbers 3, 4, and 7.

8. Artie has $0.25. He does not have any pennies. In how many different ways can Artie have $0.25?

List them.

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Topic 2

2-7Problem of the DayProblem

of the Day

2-7

Problem of the Day 2-7

Tell if you need an exact answer or an estimate. Then solve.Jada and her friends want to make at least 60 muffins for the bake sale. Did they make enough?

Muffins Made

Person Number of Muffins

Jada 28Courtney 17Tanya 13Debbie 12

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Topic 2 71

Quick Check

2-7Q

uick Check 2

-7

1. Which number sentence do the place-value blocks below show?

A 361 ! 154 " 515

B 316 ! 145 " 561

C 316 ! 145 " 454

D 316 ! 145 " 461

2. A movie played on Saturday and on Sunday. On Saturday, 284 people bought tickets for the show. On Sunday, 327 people bought tickets for the show. How many tickets were sold in all?

A 1,511

B 701

C 611

D 501

3. Writing to Explain Write the steps you follow to add two 3-digit numbers. Be sure to explain how to tell whether or not you need to regroup.

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Topic 2 71

Quick Check

2-7Q

uick Check 2

-7

1. Which number sentence do the place-value blocks below show?

A 361 ! 154 " 515

B 316 ! 145 " 561

C 316 ! 145 " 454

D 316 ! 145 " 461

2. A movie played on Saturday and on Sunday. On Saturday, 284 people bought tickets for the show. On Sunday, 327 people bought tickets for the show. How many tickets were sold in all?

A 1,511

B 701

C 611

D 501

3. Writing to Explain Write the steps you follow to add two 3-digit numbers. Be sure to explain how to tell whether or not you need to regroup.

28421_064_087.indd 71 3/14/08 1:02:28 PM

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72 Topic 2

Rete

achi

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Reteaching

2-7Models for Adding 3-Digit NumbersFind 152 ! 329.

Step 1: Show each number with place-value blocks.

Step 2: Combine the ones. 2 ! 9 " 11

Step 3: Combine the tens. 50 ! 20 " 70

Step 4: Combine the hundreds. 100 ! 300 " 400

Step 5: Add. 400 ! 70 ! 11 " 481

Write each problem and find the sum.

1.

2.

3.

4.

28421_064_087.indd 72 1/16/08 4:47:27 PM

133 ! 87 " 220

256 ! 122 " 378

146 ! 134 " 280

263 ! 248 " 511

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72 Topic 2

Rete

achi

ng 2-7

Reteaching

2-7Models for Adding 3-Digit NumbersFind 152 ! 329.

Step 1: Show each number with place-value blocks.

Step 2: Combine the ones. 2 ! 9 " 11

Step 3: Combine the tens. 50 ! 20 " 70

Step 4: Combine the hundreds. 100 ! 300 " 400

Step 5: Add. 400 ! 70 ! 11 " 481

Write each problem and find the sum.

1.

2.

3.

4.

28421_064_087.indd 72 3/14/08 1:02:30 PM

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Topic 2 73

Practice 2-7

Models for Adding 3-Digit NumbersWrite each problem and find the sum.

1. 2.

3. Number Sense Ed wants to show 137 ! 429 with place-value blocks. He has enough hundreds and ones blocks but only 4 tens blocks. Can he show the problem? Explain.

4. Museum A has 127 steps. Museum B has 194 steps. How many steps do the museums have all together? Place-value blocks may help.

5. The country of Malta has an area of 316 square miles. The country of Saint Kitts and Nevis has an area of 261 square miles. What is the area of the two countries all together?

square miles

6. The longest vertical lift drawbridge in the United States is theArthur Kill Bridge at 558 feet. The longest steel truss bridgein the United States is the Glade Creek Bridge. The GladeCreek Bridge is 226 feet longer than the Arthur Kill Bridge.How many feet long is the Glade Creek Bridge? feet

7. Larry was playing a board game. Larry scored 273 points on the first game and 248 points on the second game. How many points did Larry score in all?

A 411 B 421 C 511 D 521

Practice

2-7

28421_064_087.indd 73 1/16/08 4:47:28 PM

243 ! 112 " 355 37 ! 148 " 185

No, he does not have enough tens blocks. He needs to have at least 5 tens blocks.

321

784

577

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Topic 2 73

Practice 2-7

Models for Adding 3-Digit NumbersWrite each problem and find the sum.

1. 2.

3. Number Sense Ed wants to show 137 ! 429 with place-value blocks. He has enough hundreds and ones blocks but only 4 tens blocks. Can he show the problem? Explain.

4. Museum A has 127 steps. Museum B has 194 steps. How many steps do the museums have all together? Place-value blocks may help.

5. The country of Malta has an area of 316 square miles. The country of Saint Kitts and Nevis has an area of 261 square miles. What is the area of the two countries all together?

square miles

6. The longest vertical lift drawbridge in the United States is theArthur Kill Bridge at 558 feet. The longest steel truss bridgein the United States is the Glade Creek Bridge. The GladeCreek Bridge is 226 feet longer than the Arthur Kill Bridge.How many feet long is the Glade Creek Bridge? feet

7. Larry was playing a board game. Larry scored 273 points on the first game and 248 points on the second game. How many points did Larry score in all?

A 411 B 421 C 511 D 521

Practice

2-7

28421_064_087.indd 73 3/14/08 1:02:31 PM

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74 Topic 2

Enrichment

2-7En

richm

ent 2

-7

Town Squares James and Belinda traveled from their hometown, Mathville, to several different cities. The table shows the distances from Mathville to each city. Use the distances to divide each town square shown below in half. In the squares, each city is represented by the first letter in its name. The sum of the distances in one half of the square must equal the sum of the distances in the other half.

Number Words

Replace the letters with numbers that will correctly solve the problem.

5. 359! ADD

570

6. 123! SUM

579

7. 179! AND

425

8. 135! ODD

846

Distances from Mathville to:

Allentown 359 mi

Bensonville 430 mi

Centropolis 110 mi

Denton City 119 mi

Edgarton 249 mi

Franksburg 229 mi

Grandview 158 mi

Highfield 407 mi

Irving Glen 178 mi

Number Sense

A1. 2. 3. 4.

B

E

I

G

C

A

H

D

A

E

F

AF

BG

28421_064_087.indd 74 1/16/08 4:47:29 PM

ADD ! 211

SUM ! 456

AND ! 246

ODD ! 711

608 517 478 588 or the square divided by a horizontal or a vertical rule.

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74 Topic 2

Enrichment

2-7En

richm

ent 2

-7

Town Squares James and Belinda traveled from their hometown, Mathville, to several different cities. The table shows the distances from Mathville to each city. Use the distances to divide each town square shown below in half. In the squares, each city is represented by the first letter in its name. The sum of the distances in one half of the square must equal the sum of the distances in the other half.

Number Words

Replace the letters with numbers that will correctly solve the problem.

5. 359! ADD

570

6. 123! SUM

579

7. 179! AND

425

8. 135! ODD

846

Distances from Mathville to:

Allentown 359 mi

Bensonville 430 mi

Centropolis 110 mi

Denton City 119 mi

Edgarton 249 mi

Franksburg 229 mi

Grandview 158 mi

Highfield 407 mi

Irving Glen 178 mi

Number Sense

A1. 2. 3. 4.

B

E

I

G

C

A

H

D

A

E

F

AF

BG

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Topic 2 75

Daily Spiral Review

2-8

Daily Spiral Review

2-8

Choose the best answer.

1. Barry wants to make a three-dimensional shape with 2 circles and 1 rectangle. What is the name of the shape that Barry can make?

A Cube

B Cylinder

C Pyramid

D Prism

2. Which property of addition is shown below?7 ! 4 " 4 ! 7

A Associative

B Commutative

C Identity

D Inverse

3. A report said there are 600 students at Spring! eld Elementary School. The number was rounded to the nearest ten. How many students could there actually be?

A 557

B 593

C 604

D 636

Write each missing number.

4. 9 ! " 9

5. 7 ! 8 " ! 7

6. Yasmine bowled two games. She scored 87 on her first game and 78 on her second game. What was Yasmine’s combined score?

7. Write the word form of 2,803.

8. Doug is reading two books. The first book is 322 pages. The second book is 589 pages. Rounded to the nearest hundred, about how many pages will Doug read?

9. Name an activity that takes about one hour.

28421_064_087.indd 75 1/16/08 4:47:31 PM

08

165

two thousand, eight hundred three

900

Answers will vary. Sample answer: Play soccer.

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Topic 2 75

Daily Spiral Review

2-8

Daily Spiral Review

2-8

Choose the best answer.

1. Barry wants to make a three-dimensional shape with 2 circles and 1 rectangle. What is the name of the shape that Barry can make?

A Cube

B Cylinder

C Pyramid

D Prism

2. Which property of addition is shown below?7 ! 4 " 4 ! 7

A Associative

B Commutative

C Identity

D Inverse

3. A report said there are 600 students at Spring! eld Elementary School. The number was rounded to the nearest ten. How many students could there actually be?

A 557

B 593

C 604

D 636

Write each missing number.

4. 9 ! " 9

5. 7 ! 8 " ! 7

6. Yasmine bowled two games. She scored 87 on her first game and 78 on her second game. What was Yasmine’s combined score?

7. Write the word form of 2,803.

8. Doug is reading two books. The first book is 322 pages. The second book is 589 pages. Rounded to the nearest hundred, about how many pages will Doug read?

9. Name an activity that takes about one hour.

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Topic 2

2-8Problem of the DayProblem

of the Day

2-8

Problem of the Day 2-8

Write a number sentence. Then solve. Spencer’s basketball team scored 17 points in the first half and24 points in the second half. What was the team’s final score?

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Topic 2 77

Quick Check

2-8Q

uick Check 2

-8

1. Last year Devin took 628 pictures of his puppy. Carson took 487 pictures of his cat. How many pictures did the boys take in all?

A 1,015

B 1,105

C 1,115

D 1,205

2. Captain Ferry is a pilot. She flew 874 miles on Monday, 915 miles on Tuesday, and 708 miles on Wednesday. Which number sentence shows how far she flew on Monday and on Wednesday?

A 874 ! 915 ! 708 " 2,497 miles

B 874 ! 915 " 1,789 miles

C 915 ! 708 " 1,623 miles

D 708 ! 874 " 1,582 miles

3. Writing to Explain Zoë added 403 and 968 in her head.She got the exact sum correctly and quickly. Explain howyou think she did this.

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Topic 2 77

Quick Check

2-8Q

uick Check 2

-8

1. Last year Devin took 628 pictures of his puppy. Carson took 487 pictures of his cat. How many pictures did the boys take in all?

A 1,015

B 1,105

C 1,115

D 1,205

2. Captain Ferry is a pilot. She flew 874 miles on Monday, 915 miles on Tuesday, and 708 miles on Wednesday. Which number sentence shows how far she flew on Monday and on Wednesday?

A 874 ! 915 ! 708 " 2,497 miles

B 874 ! 915 " 1,789 miles

C 915 ! 708 " 1,623 miles

D 708 ! 874 " 1,582 miles

3. Writing to Explain Zoë added 403 and 968 in her head.She got the exact sum correctly and quickly. Explain howyou think she did this.

28421_064_087.indd 77 3/14/08 1:02:37 PM

237 200 30 7

Hundreds Tens Ones

186 6100 80

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Rete

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Reteaching

2-8Adding 3-Digit NumbersFind 237 ! 186.

Step 1: Add the ones. 7 ones ! 6 ones " 13 ones

Regroup. 13 ones " 1 ten, 3 ones

Step 2: Add the tens. 1 ten ! 3 tens ! 8 tens " 12 tens

Regroup. 12 tens " 1 hundred, 2 tens

Step 3: Add the hundreds.

1 hundred ! 2 hundreds ! 1 hundred " 4 hundreds

Add together the hundreds, tens, and ones.

400 ! 20 ! 3 " 423

Estimate. Then find each sum.

1. 118! 146

2. 283! 147

3. 542! 109

4. 220! 479

5. Find the sum of 456 and 238.

6. Add 109 and 656.

7. Estimation Estimate to decide which sum is less than 600: 356 ! 292 or 214 ! 356.

28421_064_087.indd 78 1/16/08 4:47:35 PM

237 200 30 7

Hundreds Tens Ones

186 6100 80

200, 264 400, 430 600, 651 700, 699

765694

214 ! 356

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78 Topic 2

Rete

achi

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Reteaching

2-8Adding 3-Digit NumbersFind 237 ! 186.

Step 1: Add the ones. 7 ones ! 6 ones " 13 ones

Regroup. 13 ones " 1 ten, 3 ones

Step 2: Add the tens. 1 ten ! 3 tens ! 8 tens " 12 tens

Regroup. 12 tens " 1 hundred, 2 tens

Step 3: Add the hundreds.

1 hundred ! 2 hundreds ! 1 hundred " 4 hundreds

Add together the hundreds, tens, and ones.

400 ! 20 ! 3 " 423

Estimate. Then find each sum.

1. 118! 146

2. 283! 147

3. 542! 109

4. 220! 479

5. Find the sum of 456 and 238.

6. Add 109 and 656.

7. Estimation Estimate to decide which sum is less than 600: 356 ! 292 or 214 ! 356.

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Topic 2 79

Adding 3-Digit NumbersEstimate. Then find each sum.

1. 329! 468

2. 148! 231

3. 555! 222

4. 472! 515

5. 396! 428

6. 645! 79

7. 536! 399

8. 268! 422

9. 633! 210

10. Critical Thinking Follow the steps below to find how many combined points were scored by Howie and Theo.

a. Write a number sentence to show how to solve the problem.

b. Estimate the total points scored by Howie and Theo.

c. Find the actual total.

11. Explain It Write an addition story for two 3-digit numbers. Write the answer to your story.

12. Sharon can run 278 yards in one minute. Pete can run 145 more yards than Sharon in one minute. How many yards can Pete run in one minute?

13. There were 752 people at a town meeting last week. There were 163 more people this week. How many people attended this week’s meeting?

A 815 B 825 C 915 D 925

Points Scored

Player Points Howie 272

Theo 325

Isabel 288

Practice 2-8

Practice

2-8

28421_064_087.indd 79 1/16/08 4:47:37 PM

800; 797 300; 379 800; 777 1,000; 987 800; 824

700; 724 900; 935 700; 690 800; 843

Estimates may vary.

272 ! 325 " !

Possible estimate: 300 ! 300 " 600272 ! 325 " 597

Answers will vary. Check students’ work.

423

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Topic 2 79

Adding 3-Digit NumbersEstimate. Then find each sum.

1. 329! 468

2. 148! 231

3. 555! 222

4. 472! 515

5. 396! 428

6. 645! 79

7. 536! 399

8. 268! 422

9. 633! 210

10. Critical Thinking Follow the steps below to find how many combined points were scored by Howie and Theo.

a. Write a number sentence to show how to solve the problem.

b. Estimate the total points scored by Howie and Theo.

c. Find the actual total.

11. Explain It Write an addition story for two 3-digit numbers. Write the answer to your story.

12. Sharon can run 278 yards in one minute. Pete can run 145 more yards than Sharon in one minute. How many yards can Pete run in one minute?

13. There were 752 people at a town meeting last week. There were 163 more people this week. How many people attended this week’s meeting?

A 815 B 825 C 915 D 925

Points Scored

Player Points Howie 272

Theo 325

Isabel 288

Practice 2-8

Practice

2-8

28421_064_087.indd 79 3/14/08 1:02:40 PM

Home Run999

101231

222

556

668

441443

442

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80 Topic 2

Baseball by the NumbersIn this math baseball game, each position is marked with a number value. If the ball lands on any of the positions shown, you will score points. Which two position number values would the ball have to land on in order to get the sums listed below?

1. Sum ! 332

2. Sum ! 884

3. Sum ! 665

4. Sum ! 543

5. Sum ! 769

6. Sum ! 453

7. The sum of which two numbers would equal a home run?

8. The sum of which two numbers would equal more than a home run?

9. What is the lowest score for two numbers?

Number Sense

Enrichment

2-8En

richm

ent 2

-8

28421_064_087.indd 80 1/16/08 4:47:38 PM

Home Run999

101231

222

556

668

441443

442

Sample answer:

231 ! 101441 ! 443222 ! 443442 ! 101668 ! 101222 ! 231

222 ! 101 " 323

443 ! 556

556 ! 668

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80 Topic 2

Baseball by the NumbersIn this math baseball game, each position is marked with a number value. If the ball lands on any of the positions shown, you will score points. Which two position number values would the ball have to land on in order to get the sums listed below?

1. Sum ! 332

2. Sum ! 884

3. Sum ! 665

4. Sum ! 543

5. Sum ! 769

6. Sum ! 453

7. The sum of which two numbers would equal a home run?

8. The sum of which two numbers would equal more than a home run?

9. What is the lowest score for two numbers?

Number Sense

Enrichment

2-8En

richm

ent 2

-8

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Topic 2 81

Daily Spiral Review

2-9

Daily Spiral Review

2-9

Choose the best answer.

1. Tim had 48 DVDs last year. He has since bought 16 more DVDs. How many DVDs does Tim have now?

A 32

B 54

C 64

D 74

2. The following table shows the number of people living in a town over time.

Town PopulationYear Number of People1975 3,2821985 4,3011995 3,2802005 4,501

In what year did the least number of people live in the town?

A 1975

B 1985

C 1995

D 2005

3. Which is the expanded form of 845,212?

A 800,000 ! 4,000 ! 5,000 ! 200 ! 10 ! 2

B 800,000 ! 40,000 ! 500 ! 200 ! 10 ! 2

C 800,000 ! 40,000 ! 5,000 ! 200 ! 10 ! 2

D 800,000 ! 50,000 ! 4,000 ! 200 ! 10 ! 2

4. Find the sum.326

! 458

5. What number makes the sentence below true?

(3 ! ) ! 4 " 3 ! (6 ! 4)

6. What is the missing number in the pattern below?

3, 6, 9, 12, 15, , …

7. Lori bought a sweater for $47 and a pair of jeans for $39. If you were to round the amount that Lori spent for each item to the nearest ten dollars, which numbers would you use to add?

8. Ruthie has 3 coins that are worth a total of $0.80. What 3 coins does she have?

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784

6

18

$50 ! $40

1 half dollar, 1 quarter, 1 nickel

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Topic 2 81

Daily Spiral Review

2-9

Daily Spiral Review

2-9

Choose the best answer.

1. Tim had 48 DVDs last year. He has since bought 16 more DVDs. How many DVDs does Tim have now?

A 32

B 54

C 64

D 74

2. The following table shows the number of people living in a town over time.

Town PopulationYear Number of People1975 3,2821985 4,3011995 3,2802005 4,501

In what year did the least number of people live in the town?

A 1975

B 1985

C 1995

D 2005

3. Which is the expanded form of 845,212?

A 800,000 ! 4,000 ! 5,000 ! 200 ! 10 ! 2

B 800,000 ! 40,000 ! 500 ! 200 ! 10 ! 2

C 800,000 ! 40,000 ! 5,000 ! 200 ! 10 ! 2

D 800,000 ! 50,000 ! 4,000 ! 200 ! 10 ! 2

4. Find the sum.326

! 458

5. What number makes the sentence below true?

(3 ! ) ! 4 " 3 ! (6 ! 4)

6. What is the missing number in the pattern below?

3, 6, 9, 12, 15, , …

7. Lori bought a sweater for $47 and a pair of jeans for $39. If you were to round the amount that Lori spent for each item to the nearest ten dollars, which numbers would you use to add?

8. Ruthie has 3 coins that are worth a total of $0.80. What 3 coins does she have?

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Topic 2

Problem of the Day 2-9

2-9Problem of the DayThe Statue of Liberty proudly stands in New York Harbor. This famous landmark is 151 feet tall from the tip of her torch to the bottoms of her feet. She stands on a base that is 154 feet tall. What is the total height of the Statue of Liberty, including the base?

Problem of the Day

2-9

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Interactive Learning Recording Sheet 5

Interactive Learning Recording Sheet

5Adding Whole Numbers to Solve Problems: Adding Three or More Numbers

162

124

!

246

182

!

Name

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1

53

339

21

84

512

Bernard

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Interactive Learning Recording Sheet 5

Interactive Learning Recording Sheet

5Adding Whole Numbers to Solve Problems: Adding Three or More Numbers

162

124

!

246

182

!

Name

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USA 39¢

USA

39¢

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84 Topic 2

Quick Check

2-9Q

uick

Che

ck 2-9

1. Andy keeps track of fish sold at his pet store. The table shows the three most popular kinds of fish sold. Which number gives the correct total of the fish that were sold?

A 469

B 479

C 569

D 830

2. Miss Reade runs the Stamp Club. Four students made albums. Larry has 123 stamps. Margo has 261 stamps. Peter has 87 stamps. Liza has 55 stamps. Which is the best estimate of how many stamps in all are in these students’ albums?

A about 450

B about 530

C about 600

D about 700

3. Writing to Explain Remi added 357 ! 84 ! 6 like this:

357 84 6 !

1,797

Why is his answer wrong? Explain his mistake. Find the correct sum.

Fish Sales Last Week

Fish NumberGuppies 256Mollies 39Tetras 184

28421_064_087.indd 84 1/16/08 4:47:44 PM

USA 39¢

USA

39¢

See students’ samples at the right.

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84 Topic 2

Quick Check

2-9Q

uick

Che

ck 2-9

1. Andy keeps track of fish sold at his pet store. The table shows the three most popular kinds of fish sold. Which number gives the correct total of the fish that were sold?

A 469

B 479

C 569

D 830

2. Miss Reade runs the Stamp Club. Four students made albums. Larry has 123 stamps. Margo has 261 stamps. Peter has 87 stamps. Liza has 55 stamps. Which is the best estimate of how many stamps in all are in these students’ albums?

A about 450

B about 530

C about 600

D about 700

3. Writing to Explain Remi added 357 ! 84 ! 6 like this:

357 84 6 !

1,797

Why is his answer wrong? Explain his mistake. Find the correct sum.

Fish Sales Last Week

Fish NumberGuppies 256Mollies 39Tetras 184

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Topic 2 85

Reteaching 2-9

Reteaching

2-9Adding 3 or More NumbersFind 137 ! 201 ! 109.

To add three numbers, you can add two numbers first. Then add the sum of the first two numbers and the third number.

So, 137 ! 201 ! 109 " 447.

Find each sum.

1. 3264

! 71

2. 12739

! 87

3. 293312

! 78

4. 358427

! 127

5. 382 ! 45 ! 181 "

6. 52 ! 238 ! 76 "

7. Number Sense Ranier has 37 baseball cards, 65 football cards, and 151 hockey cards. How many sports cards does he have in all? Explain how you found your answer.

28421_064_087.indd 85 1/16/08 4:47:45 PM

Step 1 Step 2

1

167 253 683 912608366

253; Possible explanation: I added 37 !65 " 102. Then I added 102 ! 151 " 253.

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Topic 2 85

Reteaching 2-9

Reteaching

2-9Adding 3 or More NumbersFind 137 ! 201 ! 109.

To add three numbers, you can add two numbers first. Then add the sum of the first two numbers and the third number.

So, 137 ! 201 ! 109 " 447.

Find each sum.

1. 3264

! 71

2. 12739

! 87

3. 293312

! 78

4. 358427

! 127

5. 382 ! 45 ! 181 "

6. 52 ! 238 ! 76 "

7. Number Sense Ranier has 37 baseball cards, 65 football cards, and 151 hockey cards. How many sports cards does he have in all? Explain how you found your answer.

28421_064_087.indd 85 3/14/08 1:02:49 PM

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86 Topic 2

Practice

2-9Adding 3 or More NumbersFind each sum.

1. 7536

! 58

2. 142297

! 116

3. 52497

! 176

4. 273187

64! 249

5. 31948

136! 347

6. 237 ! 75 ! 49 7. 49 ! 7 ! 63 ! 8 8. 143 ! 47 ! 219 ! 136

9. Estimation Estimate the sum of 327 ! 419 ! 173.

10. Number Sense Justine has 162 red buttons, 98 blue buttons, and 284 green buttons. She says she knows she has more than 500 buttons without adding. Do you agree? Explain.

11. Carlos ate or drank everything that is listed in the table. How many calories did Carlos consume?

12. In winning the 1884 U.S. presidential election, Grover Cleveland received 219 electoral votes. He received 168 electoral votes in 1888, and lost. Then he received 277 electoral votes and won in 1892. How many electoral votes did Cleveland receive in all?

13. Kyle has 378 pennies, 192 nickels, and 117 dimes. How many coins does he have all together?

A 495 B 570 C 677 D 687

Prac

tice 2-9

Food Amount Calories Bran flakes 1 ounce 90

Banana 1 105

Orange juice 1 cup 110

Milk 1 cup 150

28421_064_087.indd 86 1/16/08 4:47:47 PM

773 850

Possible estimates: 900 or 920

361 127 545

Yes, if you underestimate by adding only the hundreds and tens, you get 160 ! 90 ! 280 " 530.

455

664

169 555 797

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86 Topic 2

Practice

2-9Adding 3 or More NumbersFind each sum.

1. 7536

! 58

2. 142297

! 116

3. 52497

! 176

4. 27318764

! 249

5. 31948

136! 347

6. 237 ! 75 ! 49 7. 49 ! 7 ! 63 ! 8 8. 143 ! 47 ! 219 ! 136

9. Estimation Estimate the sum of 327 ! 419 ! 173.

10. Number Sense Justine has 162 red buttons, 98 blue buttons, and 284 green buttons. She says she knows she has more than 500 buttons without adding. Do you agree? Explain.

11. Carlos ate or drank everything that is listed in the table. How many calories did Carlos consume?

12. In winning the 1884 U.S. presidential election, Grover Cleveland received 219 electoral votes. He received 168 electoral votes in 1888, and lost. Then he received 277 electoral votes and won in 1892. How many electoral votes did Cleveland receive in all?

13. Kyle has 378 pennies, 192 nickels, and 117 dimes. How many coins does he have all together?

A 495 B 570 C 677 D 687

Prac

tice 2-9

Food Amount Calories Bran flakes 1 ounce 90

Banana 1 105

Orange juice 1 cup 110

Milk 1 cup 150

28421_064_087.indd 86 3/14/08 1:02:51 PM

276

Grand Room

Blue Room Red Room

Meeting Rooms

Floor Plan for Hotel Grand

Green Room Yellow Room

Purple Ballroom

127 31 100 125

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Topic 2 87

Enrichment 2

-9Enrichment

2-9

Reasoning

Chairs for the TeachersMath teachers from many schools held a meeting at the Hotel Grand. In preparation, the planning committee placed chairs in the rooms according to the floor plan.

1. Which room could hold 100 teachers from Clinton School, 20 students from Rogers School, and 7 principals?

2. Which room was used for 77 third-grade teachers from Boone School, 2 student teachers, and 21 second-grade teachers from St. Paul School?

3. When all of the sixth-grade teachers met, 2 doors had to be opened between rooms so that 3 rooms could be connected. Which meeting room arrangement held the most teachers?

4. When all the meeting rooms were filled, only 3 rooms of people would fit into the chairs already in the Grand Room. Which 3 rooms of people fit?

28421_064_087.indd 87 1/16/08 4:47:48 PM

276

Grand Room

Blue Room Red Room

Meeting Rooms

Floor Plan for Hotel Grand

Green Room Yellow Room

Purple Ballroom

127 31 100 125

Blue Room

Green Room

Blue, Red, and Green rooms

Blue, Red, and Green rooms; or Red, Green, and Yellow rooms

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Topic 2 87

Enrichment 2

-9Enrichment

2-9

Reasoning

Chairs for the TeachersMath teachers from many schools held a meeting at the Hotel Grand. In preparation, the planning committee placed chairs in the rooms according to the floor plan.

1. Which room could hold 100 teachers from Clinton School, 20 students from Rogers School, and 7 principals?

2. Which room was used for 77 third-grade teachers from Boone School, 2 student teachers, and 21 second-grade teachers from St. Paul School?

3. When all of the sixth-grade teachers met, 2 doors had to be opened between rooms so that 3 rooms could be connected. Which meeting room arrangement held the most teachers?

4. When all the meeting rooms were filled, only 3 rooms of people would fit into the chairs already in the Grand Room. Which 3 rooms of people fit?

28421_064_087.indd 87 3/14/08 1:02:52 PM

Number of Poems Written

Sue

Batista

Rick

Each ! 2 poems

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Daily Spiral Review

2-10

Dai

ly S

pira

l Rev

iew

2-1

0

Choose the best answer.

1. Keri drew a line through the picture below. Which of the following two shapes did she form?

A Triangle and circle

B Triangle and square

C Rectangle and triangle

D Square and rectangle

2. Which number below in standard form do these blocks show?

A 4,020

B 4,002

C 420

D 42

3. On his ! rst math quiz, Steven scored a 68. Steven’s next math quiz score was 24 points more than his ! rst. What was Steven’s second math quiz score?

A 92

B 84

C 82

D 44

4. Louis found 4 coins on the ground. The total was $0.46. What coins did he find?

5. The table shows the distances between U.S. cities.

Distance Between Cities

Cities Distance (in miles)

Boston, MA to New York, NY

206

New York, NY to Washington, DC

233

Washington, DC to Pittsburgh, PA

221

Rounded to the nearest hundred miles, what is the distance from Boston to Washington, DC?

6. How many poems did Batista write?

28421_088_093.indd 88 1/16/08 4:46:41 PM

Number of Poems Written

Sue

Batista

Rick

Each ! 2 poems

400

1 quarter, 2 dimes, and 1 penny

6 poems

miles

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Daily Spiral Review

2-10

Dai

ly S

pira

l Rev

iew

2-1

0

Choose the best answer.

1. Keri drew a line through the picture below. Which of the following two shapes did she form?

A Triangle and circle

B Triangle and square

C Rectangle and triangle

D Square and rectangle

2. Which number below in standard form do these blocks show?

A 4,020

B 4,002

C 420

D 42

3. On his ! rst math quiz, Steven scored a 68. Steven’s next math quiz score was 24 points more than his ! rst. What was Steven’s second math quiz score?

A 92

B 84

C 82

D 44

4. Louis found 4 coins on the ground. The total was $0.46. What coins did he find?

5. The table shows the distances between U.S. cities.

Distance Between Cities

Cities Distance (in miles)

Boston, MA to New York, NY

206

New York, NY to Washington, DC

233

Washington, DC to Pittsburgh, PA

221

Rounded to the nearest hundred miles, what is the distance from Boston to Washington, DC?

6. How many poems did Batista write?

28421_088_093.indd 88 3/14/08 12:59:27 PM

© Pearson Education, Inc. 3

Topic 2 8

9

Sicily is part of the countryof Italy. Round the area ofSicily to the nearest tenand then to the nearesthundred.

2-10Problem of the Day

Problem of the Day 2-10

Italy

SicilyArea: 9,926 square miles

Problem of the Day

2-1

0

28421_088_093.indd 891/16/08 4:46:42 P

M

? Books in all

23 8

? Books in all

23 31

? Books in all

23 8 31

31 Books in all

23 8 ?

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Qui

ck C

heck

2-1

0Quick Check

2-10

1. Mrs. Freedman ordered books for her class. She got23 science books, 8 mysteries, and 31 biographies. Which is the best diagram to use to help you find the total number of books she bought?

A

B

C

D

2. At a tree nursery, Dinah counted 12 maples, 28 willows, and 13 oaks. About how many trees did Dinah count?

A 60 trees

B 50 trees

C 40 trees

D 35 trees

3. Writing to Explain How does a diagram help you solve an addition story problem? Draw a diagram to help you find the exact answer to Exercise 3. Label each part of the diagram. Give the answer.

28421_088_093.indd 90 1/17/08 10:27:40 AM

? Books in all

23 8

? Books in all

23 31

? Books in all

23 8 31

31 Books in all

23 8 ?

See students’ samples at the right.

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Qui

ck C

heck

2-1

0Quick Check

2-10

1. Mrs. Freedman ordered books for her class. She got23 science books, 8 mysteries, and 31 biographies. Which is the best diagram to use to help you find the total number of books she bought?

A

B

C

D

2. At a tree nursery, Dinah counted 12 maples, 28 willows, and 13 oaks. About how many trees did Dinah count?

A 60 trees

B 50 trees

C 40 trees

D 35 trees

3. Writing to Explain How does a diagram help you solve an addition story problem? Draw a diagram to help you find the exact answer to Exercise 3. Label each part of the diagram. Give the answer.

28421_088_093.indd 90 3/14/08 12:59:30 PM

32 watermelons in all

Morning Afternoon

18 14

Bus #1 Bus #2

36 30

students in all

Sweater Skirt

in all

$30 $20

26 14

animals in all

15 3020

CDs in all

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Topic 2 91

Reteaching

2-10Reteaching 2

-10

Problem Solving: Draw a PictureDon sold 18 watermelons in the morning and 14 in the afternoon. How many watermelons did he sell in all?

You can draw a rectangle to show addition.

Each part of the rectangle represents one of the addends. Add the parts to show how many in all.

Don sold 32 watermelons in all.

1. Two buses are carrying students to a field trip. There are 36 students on one bus and 30 students on the other. How many students are on the buses in all?

3. A pet store sold 26 puppies and 14 kittens last month. How many animals were sold in all?

2. Estimation Vanessa bought a sweater for $27 and a skirt for $22. About how much moneydid Vanessa spend in all?

4. Ken has 15 rap CDs, 20 country CDs, and 30 rock CDs. How many CDs does Ken have in all?

28421_088_093.indd 91 1/16/08 4:46:46 PM

32 watermelons in all

Morning Afternoon

18 14

Bus #1 Bus #2

36 30

students in all

Sweater Skirt

in all

$30 $20

26 14

animals in all

15 3020

CDs in all

66

40

$50

65

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Topic 2 91

Reteaching

2-10Reteaching 2

-10

Problem Solving: Draw a PictureDon sold 18 watermelons in the morning and 14 in the afternoon. How many watermelons did he sell in all?

You can draw a rectangle to show addition.

Each part of the rectangle represents one of the addends. Add the parts to show how many in all.

Don sold 32 watermelons in all.

1. Two buses are carrying students to a field trip. There are 36 students on one bus and 30 students on the other. How many students are on the buses in all?

3. A pet store sold 26 puppies and 14 kittens last month. How many animals were sold in all?

2. Estimation Vanessa bought a sweater for $27 and a skirt for $22. About how much moneydid Vanessa spend in all?

4. Ken has 15 rap CDs, 20 country CDs, and 30 rock CDs. How many CDs does Ken have in all?

28421_088_093.indd 91 3/14/08 12:59:31 PM

in all

Cost of CD

$15 $13

Cost of book

25 30 40

tickets in all

students in all

Chorus

30 30

Band

12 18

miles in all

members in all

members in all members in all

Club MembershipClub Members

Math 24Spanish 18Running 15Science 6

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92 Topic 2

Practice

2-10Pr

actic

e 2-1

0

1. Kelly bought a CD for $15 and a book for $13. How much money did Kelly spend in all?

3. Jane sold 25 raffle tickets Monday, 30 raffle tickets Tuesday, and 40 raffle tickets Wednesday. How many raffle tickets did Jane sell all together?

2. Estimation There are 28 students in the chorus and 31 students in the band. All will be performing tonight. About how many students will be performing in all?

4. Dan cycled 12 miles Saturday and 18 miles Sunday. How many miles did he cycle all together?

The table shows the number of students who belong to clubs.Use the table for 5 through 7.

5. How many students belong to the Spanish and Science clubs?

6. About how many students belong to the Math and Spanish clubs?

7. How many students belong to the Math, Running, and Science clubs?

Problem Solving: Draw a Picture

28421_088_093.indd 92 1/16/08 4:46:47 PM

in all

Cost of CD

$15 $13

Cost of book

25 30 40

tickets in all

students in all

Chorus

30 30

Band

12 18

miles in all

members in all

members in all members in all

Club MembershipClub Members

Math 24Spanish 18Running 15Science 6

$2860

3095

2418 6

40 4520 20 20 15 6

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Practice

2-10Pr

actic

e 2-1

0

1. Kelly bought a CD for $15 and a book for $13. How much money did Kelly spend in all?

3. Jane sold 25 raffle tickets Monday, 30 raffle tickets Tuesday, and 40 raffle tickets Wednesday. How many raffle tickets did Jane sell all together?

2. Estimation There are 28 students in the chorus and 31 students in the band. All will be performing tonight. About how many students will be performing in all?

4. Dan cycled 12 miles Saturday and 18 miles Sunday. How many miles did he cycle all together?

The table shows the number of students who belong to clubs.Use the table for 5 through 7.

5. How many students belong to the Spanish and Science clubs?

6. About how many students belong to the Math and Spanish clubs?

7. How many students belong to the Math, Running, and Science clubs?

Problem Solving: Draw a Picture

28421_088_093.indd 92 3/14/08 12:59:33 PM

9 ft6 ft

12 ft9 ft

15 ft(out)15 ft(out)12 ft18 ft

orWaterspout (14 ft)

1

Day 4

234567891011121314

Night 4

1

Day 3

234567891011121314

Night 3

1

Day 2

234567891011121314

Night 2

1

Day 1 6 ft

3 ft

234567891011121314

Night 1

1

Day 5

234567891011121314

Night 5

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Topic 2 93

Decision Making

The Itsy-Bitsy SpiderThe itsy-bitsy spider tried to climb up a 14-ft waterspout. Each day it climbed up the spout 6 ft. Each night it rained and almost washed the spider out. However, the clever spider used its legs to stop each night after falling only 3 ft. Find out how long it took the spider to get out of the waterspout. The spider’s position at the end of the first night has been drawn for you.

1. Draw the spider’s position at the end of Night 2.

2. Draw the spider’s position at the end of Night 3.

3. Draw the spider’s position at the end of Night 4.

4. Draw the spider’s position at the end of Night 5.

5. Circle the picture of the spider on the day you think it got out of the waterspout.

Enrichment

2-10Enrichm

ent 2-1

0

28421_088_093.indd 93 1/16/08 4:46:48 PM

9 ft6 ft

12 ft9 ft

15 ft(out)15 ft(out)12 ft18 ft

orWaterspout (14 ft)

1

Day 4

234567891011121314

Night 4

1

Day 3

234567891011121314

Night 3

1

Day 2

234567891011121314

Night 2

1

Day 1 6 ft

3 ft

234567891011121314

Night 1

1

Day 5

234567891011121314

Night 5

9 ft6 ft

12 ft9 ft

15 ft(out)15 ft(out)12 ft18 ft

or

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Topic 2 93

Decision Making

The Itsy-Bitsy SpiderThe itsy-bitsy spider tried to climb up a 14-ft waterspout. Each day it climbed up the spout 6 ft. Each night it rained and almost washed the spider out. However, the clever spider used its legs to stop each night after falling only 3 ft. Find out how long it took the spider to get out of the waterspout. The spider’s position at the end of the first night has been drawn for you.

1. Draw the spider’s position at the end of Night 2.

2. Draw the spider’s position at the end of Night 3.

3. Draw the spider’s position at the end of Night 4.

4. Draw the spider’s position at the end of Night 5.

5. Circle the picture of the spider on the day you think it got out of the waterspout.

Enrichment

2-10Enrichm

ent 2-1

0

28421_088_093.indd 93 3/14/08 12:59:34 PM

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94 Topic 2

Topic 2 Multiple-Choice

TestMark the best answer.

1. If Serena rounds her number of baseball cards to the nearest ten, she would have 280. How many cards could she have in her collection? (2-4)

A 269

B 272

C 284

D 287

2. Which addition sentence is shown? (2-7)

A 368 ! 143

B 386 ! 143

C 368 ! 134

D 17 ! 8

3. A store stocks 411 boxes of cold cereal and 162 boxes of hot cereal. Which number sentence shows the best way to estimate the total boxes of cereal using compatible numbers? (2-5)

A 400 ! 100 " 500

B 400 ! 150 " 550

C 450 ! 150 " 600

D 450 ! 200 " 650

4. A supermarket has 337 cans of soup and 478 packages of instant soup. How many containers of soup are there in all? (2-8)

A 705

B 715

C 805

D 815

5. Harry wants to add 47 ! 30 on a hundred chart. He starts at 47. What steps does he follow next? (2-2)

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

A Count to the right 3 squares.

B Count to the left 3 squares.

C Count down 3 rows.

D Count back 3 rows.

Topi

c 2

Mul

tiple

-Cho

ice

Test

28421_094_096.indd 94 1/16/08 4:50:02 PM

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94 Topic 2

Topic 2 Multiple-Choice

TestMark the best answer.

1. If Serena rounds her number of baseball cards to the nearest ten, she would have 280. How many cards could she have in her collection? (2-4)

A 269

B 272

C 284

D 287

2. Which addition sentence is shown? (2-7)

A 368 ! 143

B 386 ! 143

C 368 ! 134

D 17 ! 8

3. A store stocks 411 boxes of cold cereal and 162 boxes of hot cereal. Which number sentence shows the best way to estimate the total boxes of cereal using compatible numbers? (2-5)

A 400 ! 100 " 500

B 400 ! 150 " 550

C 450 ! 150 " 600

D 450 ! 200 " 650

4. A supermarket has 337 cans of soup and 478 packages of instant soup. How many containers of soup are there in all? (2-8)

A 705

B 715

C 805

D 815

5. Harry wants to add 47 ! 30 on a hundred chart. He starts at 47. What steps does he follow next? (2-2)

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

A Count to the right 3 squares.

B Count to the left 3 squares.

C Count down 3 rows.

D Count back 3 rows.

Topi

c 2

Mul

tiple

-Cho

ice

Test

28421_094_096.indd 94 3/14/08 1:00:56 PM

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1. A rodeo has 457 competitors. What is 457 rounded to the nearest ten? (2-4)

2. What property of addition is shown by the following diagram? (2-1)

(••• ! ••••) ! ••••••••• " ••• ! (•••• ! •••••••••)

3. Becky drove 273 miles from San Antonio to Dallas, then she drove another 427 miles to Baton Rogue. Round those distances to the nearest ten to estimate how far Becky drove. (2-5)

4. A rancher has 478 cattle and 326 hogs on his ranch. How many animals does the rancher have in all? (2-8)

5. Use the hundred chart to add 32 ! 45. (2-2)

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

6. A yogurt stand sells 32 vanilla yogurts and 27 strawberry yogurts. How many yogurts are sold altogether? (2-6)

7. Sam jogs for 27 minutes on Monday. He jogs for 34 minutes on Tuesday. Use mental math to find how many minutes Sam jogs in all. (2-3)

8. Write the addition sentence that is shown by the blocks. (2-7)

9. Billy wants to add 35 ! 47. Show how Billy can add the two numbers by using a breaking-apart strategy. (2-3)

Answer the questions below.

Topic 2Free-Response Test

Topic 2Free-Response Test

Topic 2 97

28421_097_098.indd 97 1/16/08 4:48:08 PM

460

Associative Property

270 ! 430 " 700

77

61

47 " 5 ! 4235 ! 5 " 4040 ! 42 " 82So, 35 ! 47 " 82

804

59

283 ! 237

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1. A rodeo has 457 competitors. What is 457 rounded to the nearest ten? (2-4)

2. What property of addition is shown by the following diagram? (2-1)

(••• ! ••••) ! ••••••••• " ••• ! (•••• ! •••••••••)

3. Becky drove 273 miles from San Antonio to Dallas, then she drove another 427 miles to Baton Rogue. Round those distances to the nearest ten to estimate how far Becky drove. (2-5)

4. A rancher has 478 cattle and 326 hogs on his ranch. How many animals does the rancher have in all? (2-8)

5. Use the hundred chart to add 32 ! 45. (2-2)

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

6. A yogurt stand sells 32 vanilla yogurts and 27 strawberry yogurts. How many yogurts are sold altogether? (2-6)

7. Sam jogs for 27 minutes on Monday. He jogs for 34 minutes on Tuesday. Use mental math to find how many minutes Sam jogs in all. (2-3)

8. Write the addition sentence that is shown by the blocks. (2-7)

9. Billy wants to add 35 ! 47. Show how Billy can add the two numbers by using a breaking-apart strategy. (2-3)

Answer the questions below.

Topic 2Free-Response Test

Topic 2Free-Response Test

Topic 2 97

28421_097_098.indd 97 3/14/08 1:01:33 PM

378 m

467 m

412 m

106 m

79 m

74 m

83 m

81 m

Log Cabin

Scenic View

Lodge

Lake

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Your class is visiting a local park. The map below shows some of the paths in the park. The distances of the paths are measured in meters.

1. Choose two ways to walk from the log cabin to the lake and then to the scenic view. On a separate sheet of paper, draw place-value blocks to show the total distance for each way. Then write and solve a number sentence to find the total distance.

2. Choose a way to walk from the log cabin to the scenic view and then to the lodge. On a separate sheet of paper, draw place-value blocks to show the total distance. Then write and solve a number sentence to find the total distance.

3. Write and solve a number sentence to show the shortest way from the lodge to the lake. Explain how you decided which paths to choose.

4. Choose a way to walk from the lodge to the log cabin, to the scenic view, and back to the lodge. Estimate the distance. Then find the exact distance. Explain how you can use your estimate to check that your answer is reasonable.

Topic 2 99

Topic 2

Performance Assessm

ent Topic 2

Performance Assessment

28421_099.indd 99 1/16/08 4:49:59 PM

378 m

467 m

412 m

106 m

79 m

74 m

83 m

81 m

Log Cabin

Scenic View

Lodge

Lake

See below.

378 ! 74 " 452 m; The distance on the path from the lodge to the scenic view marked 378 meters is less than the distances of the other two paths leading from the lodge, so I used 378 as my first addend. The path from the scenic view that is marked 74 meters is shorter than the path marked 79 meters, so I used 74 for my second addend.

Estimate: 410 ! 110 ! 380 " 900 meters. Exact distance: 412 ! 106 ! 378 " 896. Since my estimate and my answer are about the same, I know that my answer is reasonable.

See below.

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Your class is visiting a local park. The map below shows some of the paths in the park. The distances of the paths are measured in meters.

1. Choose two ways to walk from the log cabin to the lake and then to the scenic view. On a separate sheet of paper, draw place-value blocks to show the total distance for each way. Then write and solve a number sentence to find the total distance.

2. Choose a way to walk from the log cabin to the scenic view and then to the lodge. On a separate sheet of paper, draw place-value blocks to show the total distance. Then write and solve a number sentence to find the total distance.

3. Write and solve a number sentence to show the shortest way from the lodge to the lake. Explain how you decided which paths to choose.

4. Choose a way to walk from the lodge to the log cabin, to the scenic view, and back to the lodge. Estimate the distance. Then find the exact distance. Explain how you can use your estimate to check that your answer is reasonable.

Topic 2 99

Topic 2

Performance Assessm

ent Topic 2

Performance Assessment

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