Grade 10 Academic Math (MPM2D0) Integer Skills Summer … · 2016-06-15 · Grade 10 Academic Math...

Grade 10 Academic Math (MPM2D0) Integer Skills

Summer Package

Table of Contents Content Pages

1) Adding Integers: Skills Practice and Practice 1 - 2

2) Subtracting Integers: Skills Practice and Practice 3 - 4

3) Multiplying Integers: Skills Practice and Practice 5 - 6

4) Dividing Integers: Skills Practice and Practice 7 - 8

5) Answers to Adding Integers: Skills Practice and Practice 9 - 10

6) Answers to Subtracting Integers: Skills Practice and Practice 11 - 12

7) Answers to Multiplying Integers: Skills Practice and Practice 13 - 14

8) Answers to Dividing Integers: Skills Practice and Practice 15 -16

9) Speed Drill 1: Add/Subtract Integers 17

10) Answers: Speed Drill 1: Add/Subtract Integers 18

11) Speed Drill 2: Add/Subtract Integers 19

12) Answers: Speed Drill 2: Add/Subtract Integers 20

13) Speed Drill 3: Multiply Integers 21

14) Answers: Speed Drill 3: Multiply Integers 22

15) Speed Drill 4: Multiply Integers 23

16) Answers: Speed Drill 4: Multiply Integers 24

17) Speed Drill 5: Divide Integers 25

18) Answers: Speed Drill 5: Divide Integers 26

19) Speed Drill 6: Divide Integers 27

20) Answers: Speed Drill 6: Divide Integers 28

Skills PracticeAdding Integers

© Glencoe/McGraw-Hill

Find each sum.

1. �7 � (�5) 2. 10 � 9 3. �12 � (�5) 4. �13 � (�3)

�12 19 �17 �16

5. �10 � 12 6. �7 � 8 7. �11 � (�6) 8. 0 � (�21)

2 1 �17 �21

9. 72 � (�10) 10. 72 � 10 11. �13 � (�11) 12. �52 � 52

62 82 �24 0

13. �6 � (�12) 14. 14 � (�8) 15. �17 � (�2) 16. 50 � (�8)

�18 6 �19 42

17. �22 � 4 18. 14 � 8 19. �21 � (�9) 20. 15 � (�5)

�18 22 �30 10

21. 9 � 10 22. �12 � (�15) 23. �13 � 6 24. �1 � (�18)

19 �27 �7 �19

25. 0 � 31 26. �45 � (�15) 27. �6 � 20 28. 24 � (�11)

31 �60 14 13

29. 7 � (�14) 30. �34 � (�10) 31. �8 � (�25) 32. �31 � 25

�7 �44 �33 �6

33. 6 � 5 � (�4) 34. �4 � (�5) � 6 35. �3 � 8 � (�9)

7 �3 �436. �6 � (�2) � (�1) 37. 10 � (�5) � 6 38. �8 � 8 � (�10)

�9 11 �10

39. 0 � (�8) � 22 40. �31 � 19 � (�15) 41. 32 � (�4) � (�9)

14 �27 19

© Glencoe/McGraw-Hill

PracticeAdding Integers

Find each sum.

1. �19 � (�7) 2. �29 � 30 3. �32 � 9 4. 10 � 37

�26 1 �23 47

5. 34 � 22 6. �16 � (�28) 7. �4 � (�50) 8. �12 � (�63)

56 �44 �54 �75

9. 26 � (�9) 10. �17 � (�23) 11. 12 � (�22) 12. 18 � (�56)

17 �40 �10 �38

13. �36 � (�36) 14. �54 � 45 15. �34 � 17 16. �16 � (�24)

�72 �9 �17 �40

17. 70 � (�108) 18. �52 � 36 19. �71 � (�86) 20. �39 � (�40)

�38 �16 �157 �79

21. 25 � 18 � (�23) 22. �65 � (�2) � 9 23. 80 � 15 � (�26)

20 �58 69

24. �5 � 4 � (�27) 25. �29 � 12 � 44 26. �1 � (�8) � (�49)

�28 27 �58

27. �16 � (�56) � (�90) 28. �18 � 13 � (�35) 29. 10 � (�34) � 17

�162 �40 �7

30. 30 � (�9) � 1 31. �24 � 7 � 47 32. 51 � (�21) � (�12)

22 30 18

33. TEMPERATURE At 4:00 A.M., the outside temperature was �28°F. By 4:00 P.M. it rose 38 degrees. What was the temperature at 4:00 P.M.? �10°F

34. HEALTH Three friends decided to exercise together four times a week to lose fat andincrease muscle mass. While all three were healthier after six weeks, one had lost 5pounds, another had gained 3 pounds, and one had lost 4 pounds. What was the totalnumber of pounds gained or lost by the three friends? �6 pounds

35. ROLLER COASTERS The latest thrill ride at a popular theme park takes roller coasterfans on an exciting ride. In the first 20 seconds, it carries its passengers up a 100-meterhill, plunges them 72 meters down, and quickly takes them back up a 48-meter rise.How much higher or lower from the start of the ride are they after these 20 seconds?76 m higher

© Glencoe/McGraw-Hill

Skills PracticeSubtracting Integers

Find each difference.

1. �2 � (�8) 2. 4 � (�11) 3. �7 � 6 4. 15 � 2

6 15 �13 13

5. �7 � (�1) 6. 1 � 9 7. �5 � (�3) 8. 6 � (�5)

�6 �8 �2 11

9. �4 � (�10) 10. 4 � 6 11. 0 � (�15) 12. �16 � (�10)

6 �2 15 �6

13. 0 � 16 14. 11 � (�9) 15. �9 � 1 16. �1 � (�8)

�16 20 �10 7

17. 1 � (�2) 18. �2 � (�19) 19. 13 � 17 20. 20 � (�15)

3 17 �4 35

21. �10 � (�21) 22. 4 � 22 23. �8 � 16 24. 12 � (�9)

11 �18 �24 21

Evaluate each expression if a � �9, b � 4, and c � �5.

25. a � 8 26. 10 � c 27. 11 � b 28. 15 � a

�17 15 7 24

29. �8 � b 30. c � 1 31. �32 � a 32. b � 25

�12 �6 �23 �21

33. c � (�14) 34. �33 � a 35. 14 � c 36. b � c

9 �24 19 9

37. a � c 38. b � a 39. c � b 40. c � a

�4 13 �9 4

41. a � b 42. a � b � c 43. b � 15 � a 44. a � ( �b) � c

�13 0 10 �10

PracticeSubtracting Integers

© Glencoe/McGraw-Hill

Find each difference.

1. �26 � (�30) 2. 25 � 32 3. �18 � 54 4. 59 � (�19)

4 �7 �72 78

5. �41 � (�19) 6. �20 � 13 7. 31 � (�56) 8. 15 � (�40)

�22 �33 87 55

9. �32 � 28 10. 10 � (�23) 11. �14 � 64 12. �12 � (�36)

�60 33 �78 24

13. �81 � 4 14. 9 � 30 15. �44 � (�21) 16. 140 � (�9)

�85 �21 �23 149

Evaluate each expression if a � �11, b � 8, and c � �6.

17. a � 17 18. 10 � b 19. �30 � c 20. b � a

�28 2 �24 19

21. a � b 22. c � b 23. b � c � a 24. b � c � a

�19 �14 3 25

25. c � a � b 26. b � a � c 27. b � c � a 28. c � a � b

�3 3 13 13

29. a � b � c 30. b � a � c 31. a � b � c 32. c � b � a

�25 13 �13 13

33. c � b � a 34. a � b � c 35. 16 � a � c 36. a � b � 14

�25 3 �1 �5

37. ELEVATORS Linda entered an elevator on floor 9. She rode down 8 floors. Then she rodeup 11 floors and got off. What floor was she on when she left the elevator? 12

38. INVESTMENTS The NASDAQ lost 36 points on a Monday, but rebounded the next day,gaining 24 points. What was the total change in points? �12 points

39. OFFICE BUILDINGS Randi takes the stairs at work whenever possible instead of the elevator. She must climb up 51 steps from her office to get to the accounting department. The human resources department is 34 steps below her office.How many steps are there between human resources and accounting? 85 steps

Less

on

2-3

Skills PracticeMultiplying Integers

© Glencoe/McGraw-Hill

Find each product.

1. �2(8) 2. �4(�4) 3. 6(�2) 4. �7(�3)

�16 16 �12 21

5. 12(1) 6. 0(�2) 7. �11(5) 8. �9(�3)

12 0 �55 27

9. �13(0) 10. �1(�1) 11. �1(1) 12. 1(�1)

0 1 �1 �1

13. �5(20) 14. 16(�2) 15. 18(�3) 16. �5(�5)

�100 �32 �54 25

17. 8(6)(�2) 18. �1(50)(�1) 19. 6(0)(�2) 20. (�3)(�2)(�1)

�96 50 0 �6

21. �4(5)(�3) 22. 10(�3)(2) 23. �9(8)(1) 24. �1(�1)(�1)

60 �60 �72 �1

ALGEBRA Simplify each expression.

25. �2 � 3x 26. �4 � 5y 27. 9 � (�2z) 28. �5 � (�6a)

�6x �20y �18z 30a

29. 8t � (�3) 30. 2n � (�1) 31. �5 � 2w 32. 8c � (�2)

�24t �2n �10w �16c

33. �3c � (�5d) 34. 4r � 7s 35. �3x � (�z) 36. �4ab � (�6)

15cd 28rs 3xz 24ab

37. (�3)(4)(�x) 38. �3(5)(�y) 39. (�6)(�2)(8r) 40. �5(0)(�xy)

12x 15y 96r 0

ALGEBRA Evaluate each expression if x � �5 and y � �6.

41. 3y 42. �8x 43. �4y 44. 12x

�18 40 24 �60

45. xy 46. �xy 47. �6xy 48. 4xy

30 �30 �180 120

© Glencoe/McGraw-Hill

PracticeMultiplying Integers

Find each product.

1. 8(16) 2. �4(17) 3. �1(�40) 4. �5(�7)

128 �68 40 35

5. 0(�54) 6. 29(�2) 7. �20(�20) 8. �31(�4)

0 �58 400 124

9. �2(�15)(�6) 10. 3(�5)(�8) 11. �10(17)(�2) 12. �2(�2)(�2)

�180 120 340 �8

13. 12(10)(5) 14. �50(�21)(2) 15. �8(�13)(�25) 16. �5(16)(4)

600 2100 �2600 �320

ALGEBRA Simplify each expression.

17. �6r � (12s) 18. �15 � (9v) 19. 2ab � (�25) 20. �27y � (�z)

�72rs �135v �50ab 27yz

21. �60m(�2)(�3n) 22. �9u(�4)(�w) 23. 29g(0)(�15) 24. �b(�12)(11)

�360mn �36uw 0 132b

25. 19h(�1)(�2s) 26. �h(�jk) 27. (�1)(�a)(�bc) 28. (�1)(�fg)(�xy)

38hs hjk �abc �fgxy

ALGEBRA Evaluate each expression if a � �1, b � �6, and c � 5.

29. �11a 30. 4ab 31. �8bc 32. �10ac

11 24 240 50

33. 15ab 34. 12ac 35. abc 36. �abc

80 �60 30 �30

37. �11a(�bc) 38. 4ab(�8c) 39. 9a(�2b)(5c) 40. �3a(�2b)(�c)

330 �960 �2700 �180

41. REAL ESTATE In Montyville, the value of homes has experienced an annual increase of �2 percent. If the rate continues, what will be the increase over 10 years? �20 percent

42. RETAIL The Good Food n’ More grocery store loses an average of $210 a day due tobreakage, shoplifting, and food expiration. How much money does the store lose on average per 7-day week? �$1470

© Glencoe/McGraw-Hill

Skills PracticeDividing Integers

Find each quotient.

1. 16 � 4 2. �27 � 3 3. 25 � (�5) 4. 63 � (�9)

4 �9 �5 �7

5. �15 � (�3) 6. 14 � (�7) 7. �124 � 4 8. 60 � 15

5 �2 �31 4

9. 28 � (�4) 10. �56 � (�8) 11. 72 � 8 12. �21 � (�7)

�7 7 9 3

13. ��

432� 14. �

495� 15. �

�

345� 16. �

�

�

255

�

�8 5 �15 5

17. ��

357� 18. �

�

�

673

� 19. ��

11244� 20. �

�

486�

�5 9 �12 �8

21. What is �54 divided by 9? �6 22. Divide �27 by �3. 9

23. Divide 144 by �12. �12 24. What is �65 divided by �13? 5

Evaluate each expression if x � �8 and y � �12.

25. x � 2 26. x � (�4) 27. 36 � y 28. 0 � y

�4 2 �3 0

29. �60 � y 30. 56 � x 31. 8 � x 32. �108 � y

5 �7 �1 9

33. ��

x2� 34. 35. �

0x

� 36. ��1

x12�

4 �4 0 14

37. ��

y6� 38. �

4x

� 39. ��1

y44� 40. �

�1x36�

2 �2 12 17

Find the average (mean) of each group of numbers.

41. 3, 12, 6 42. �8, �1, �3 43. �8, 15, 5, 8 44. �3, �10, 2, �4, 0

7 �4 5 �3

45. �10, �7, 7, 10 46. 12, 24, 9, 15, 18, 20, 16, 14 47. �4, �11, �6, 1, 8, �12

0 16 �4

y�3

PracticeDividing Integers

© Glencoe/McGraw-Hill

Find each quotient.

1. �44 � 4 2. 0 � (�5) 3. �21 � 21 4. 32 � 8

�11 0 �1 4

5. �17 � �17 6. �49 � 7 7. 80 � �4 8. �64 � �8

1 �7 �20 8

9. ��

729� 10. �

�

�

105

0� 11. �

�

690� 12. �

31620

�

�8 20 �15 30

13. ��

�

42050

� 14. ��5

525� 15. �

�

846� 16. �

215

5�

16 �105 �14 43

Evaluate each expression if a � � 2, b � 5, and c � �4.

17. �35 � b 18. 54 � a 19. �56 ÷ c 20. 205 � b

�7 �27 14 41

21. ��

c2� 22. �

b5

� 23. �a2

� 24. ��

c4�

2 1 �1 1

25. ��

c28� 26. �

�

ac8� 27. �

bac� 28. �

2a5b0

�

7 �1 10 �25

Find the average (mean) of each group of numbers.

29. 23, 20, 27, 18 30. �8, 9, 4, 0, 2, �1 31. 17, 21, 4

22 1 14

32. �20, �15, �12, �1, 1, 12, 15, 20 33. �7, �3, �9, 0, 21, �2, �14

0 �2

34. TESTS Miranda earned scores of 84, 91, 95, 78, and 92 on her math tests. Find heraverage (mean) score. 88

35. TEMPERATURE At noon on Friday, the temperature was 0°F. Six hours later the temperature was �18°F. On average, what was the temperature change per hour? �3°F

36. BUSINESS The architecture firm of Stuart and Maxwell, Ltd., had monthly profits of$1200, $755, �$450, $210, and �$640 over 5 months. What was the average profit forthose months? $215

Speed Drill 1: Add/Subtract Integers

.

(+9) - (+5) = (-3) + (+8) = (-8) - (-8) =

(-7) + (+9) = (+7) + (+3) = (+9) + (+5) =

(+2) - (-1) = (-8) + (+6) = (+1) - (-5) =

(-14) - (-7) = (-7) - (-5) = (-2) - (+4) =

(+8) - (+7) = (+6) + (-6) = (+3) + (-1) =

(+3) + (-5) = (-11) - (-5) = (-5) + (0) =

(-3) - (+6) = (+9) + (+6) = (-8) - (-7) =

(-8) - (-4) = (+1) - (-8) = (-7) - (-4) =

(+4) - (-1) = (0) + (+6) = (-11) - (-7) =

(-11) - (-3) = (+2) + (+2) = (-8) + (-8) =

Answers.

(+9) - (+5) = (+4) (-3) + (+8) = (+5) (-8) - (-8) = (0)

(-7) + (+9) = (+2) (+7) + (+3) = (+10) (+9) + (+5) = (+14)

(+2) - (-1) = (+3) (-8) + (+6) = (-2) (+1) - (-5) = (+6)

(-14) - (-7) = (-7) (-7) - (-5) = (-2) (-2) - (+4) = (-6)

(+8) - (+7) = (+1) (+6) + (-6) = (0) (+3) + (-1) = (+2)

(+3) + (-5) = (-2) (-11) - (-5) = (-6) (-5) + (0) = (-5)

(-3) - (+6) = (-9) (+9) + (+6) = (+15) (-8) - (-7) = (-1)

(-8) - (-4) = (-4) (+1) - (-8) = (+9) (-7) - (-4) = (-3)

(+4) - (-1) = (+5) (0) + (+6) = (+6) (-11) - (-7) = (-4)

(-11) - (-3) = (-8) (+2) + (+2) = (+4) (-8) + (-8) = (-16)

Speed Drill 2: Add/Subtract Integers.

(+10) - (+6) = (-9) - (-8) = (-2) - (0) =

(-1) + (+2) = (-9) + (+6) = (+11) - (+6) =

(0) - (+5) = (-8) - (+1) = (+15) - (+6) =

(-5) - (0) = (-3) - (-4) = (+6) + (-7) =

(+9) + (-9) = (+5) + (-4) = (-5) - (-7) =

(-5) + (+9) = (-3) + (-4) = (-4) - (+5) =

(+2) + (-4) = (-9) + (+7) = (-14) - (-8) =

(+9) + (-1) = (-3) + (+7) = (+7) + (-2) =

(+2) - (+3) = (+13) - (+7) = (-7) - (-9) =

(+5) + (+6) = (+11) - (+9) = (+3) + (+4) =

Answers.

(+10) - (+6) = (+4) (-9) - (-8) = (-1) (-2) - (0) = (-2)

(-1) + (+2) = (+1) (-9) + (+6) = (-3) (+11) - (+6) = (+5)

(0) - (+5) = (-5) (-8) - (+1) = (-9) (+15) - (+6) = (+9)

(-5) - (0) = (-5) (-3) - (-4) = (+1) (+6) + (-7) = (-1)

(+9) + (-9) = (0) (+5) + (-4) = (+1) (-5) - (-7) = (+2)

(-5) + (+9) = (+4) (-3) + (-4) = (-7) (-4) - (+5) = (-9)

(+2) + (-4) = (-2) (-9) + (+7) = (-2) (-14) - (-8) = (-6)

(+9) + (-1) = (+8) (-3) + (+7) = (+4) (+7) + (-2) = (+5)

(+2) - (+3) = (-1) (+13) - (+7) = (+6) (-7) - (-9) = (+2)

(+5) + (+6) = (+11) (+11) - (+9) = (+2) (+3) + (+4) = (+7)

Find each product.

(−12)×5 = (−12)×10 = (−12)×8 = 12× (−11) =

12× (−1) = (−8)× (−11) = 2×7 = 9×10 =

(−8)×9 = 10×9 = 6× (−6) = 1×7 =

(−4)× (−1) = 0× (−1) = 11× (−10) = (−4)×11 =

(−6)×10 = 12× (−9) = (−8)×7 = (−5)× (−3) =

(−3)×2 = (−8)×6 = (−7)× (−10) = (−3)×12 =

9×0 = 0×5 = 4× (−10) = 9× (−10) =

8× (−2) = (−7)×2 = 11×5 = (−4)×7 =

(−1)× (−11) = (−12)× (−1) = (−1)×10 = (−12)×0 =

7×7 = (−2)×2 = (−6)× (−12) = 3×12 =

(−11)× (−11) = (−2)×1 = (−5)× (−6) = (−6)×4 =

(−4)×5 = 4×11 = 0×0 = 6× (−1) =

(−6)×5 = (−6)×11 = 0×9 = 0× (−3) =

(−9)×8 = 0×12 = 1× (−9) = (−2)× (−10) =

3×1 = (−11)× (−6) = (−5)×0 = (−5)× (−8) =

5× (−5) = 10× (−5) = (−12)×1 = 7×10 =

8× (−5) = 7×5 = 4×6 = (−7)×9 =

(−6)×2 = (−6)× (−3) = (−10)× (−4) = 3× (−8) =

(−3)×7 = (−6)× (−9) = 5×8 = 7× (−10) =

(−12)× (−2) = 3× (−12) = 3× (−3) = 6× (−9) =

(−4)×2 = 9× (−12) = (−9)×12 = (−11)× (−1) =

5× (−11) = 4× (−7) = 3×5 = (−5)×12 =

(−6)×12 = (−12)× (−4) = (−6)×7 = 9× (−7) =

(−6)× (−7) = 3×3 = 2×4 = 2×3 =

6× (−3) = 6× (−4) = (−7)×10 = 3×2 =

Find each product.

(−12)×5 = (−60) (−12)×10 = (−120) (−12)×8 = (−96) 12× (−11) = (−132)

12× (−1) = (−12) (−8)× (−11) = 88 2×7 = 14 9×10 = 90

(−8)×9 = (−72) 10×9 = 90 6× (−6) = (−36) 1×7 = 7

(−4)× (−1) = 4 0× (−1) = 0 11× (−10) = (−110) (−4)×11 = (−44)

(−6)×10 = (−60) 12× (−9) = (−108) (−8)×7 = (−56) (−5)× (−3) = 15

(−3)×2 = (−6) (−8)×6 = (−48) (−7)× (−10) = 70 (−3)×12 = (−36)

9×0 = 0 0×5 = 0 4× (−10) = (−40) 9× (−10) = (−90)

8× (−2) = (−16) (−7)×2 = (−14) 11×5 = 55 (−4)×7 = (−28)

(−1)× (−11) = 11 (−12)× (−1) = 12 (−1)×10 = (−10) (−12)×0 = 0

7×7 = 49 (−2)×2 = (−4) (−6)× (−12) = 72 3×12 = 36

(−11)× (−11) = 121 (−2)×1 = (−2) (−5)× (−6) = 30 (−6)×4 = (−24)

(−4)×5 = (−20) 4×11 = 44 0×0 = 0 6× (−1) = (−6)

(−6)×5 = (−30) (−6)×11 = (−66) 0×9 = 0 0× (−3) = 0

(−9)×8 = (−72) 0×12 = 0 1× (−9) = (−9) (−2)× (−10) = 20

3×1 = 3 (−11)× (−6) = 66 (−5)×0 = 0 (−5)× (−8) = 40

5× (−5) = (−25) 10× (−5) = (−50) (−12)×1 = (−12) 7×10 = 70

8× (−5) = (−40) 7×5 = 35 4×6 = 24 (−7)×9 = (−63)

(−6)×2 = (−12) (−6)× (−3) = 18 (−10)× (−4) = 40 3× (−8) = (−24)

(−3)×7 = (−21) (−6)× (−9) = 54 5×8 = 40 7× (−10) = (−70)

(−12)× (−2) = 24 3× (−12) = (−36) 3× (−3) = (−9) 6× (−9) = (−54)

(−4)×2 = (−8) 9× (−12) = (−108) (−9)×12 = (−108) (−11)× (−1) = 11

5× (−11) = (−55) 4× (−7) = (−28) 3×5 = 15 (−5)×12 = (−60)

(−6)×12 = (−72) (−12)× (−4) = 48 (−6)×7 = (−42) 9× (−7) = (−63)

(−6)× (−7) = 42 3×3 = 9 2×4 = 8 2×3 = 6

6× (−3) = (−18) 6× (−4) = (−24) (−7)×10 = (−70) 3×2 = 6

Find each product.

10×2 = (−10)×0 = 8× (−4) = 6× (−2) =

(−9)×10 = 10× (−12) = 1×11 = 4×3 =

(−1)× (−12) = (−2)× (−1) = 7×9 = (−3)× (−11) =

(−4)×10 = 10× (−6) = 5× (−12) = 3×7 =

0×4 = 11×6 = (−9)×0 = 5× (−8) =

(−11)×1 = 2×9 = (−5)×10 = (−8)× (−7) =

5× (−4) = (−7)×0 = (−11)×0 = (−8)×5 =

(−6)× (−4) = (−7)×3 = 9×4 = 9×5 =

8× (−7) = (−9)×7 = 11× (−2) = 9×7 =

(−7)×8 = (−10)× (−5) = (−6)×1 = (−8)× (−3) =

4×10 = 9×8 = (−1)×1 = (−2)×0 =

12×3 = (−1)× (−10) = 2×0 = 10× (−8) =

6×10 = 12×0 = (−7)× (−7) = (−12)× (−8) =

6× (−7) = (−8)×11 = (−2)× (−9) = 7×6 =

6×8 = (−12)× (−9) = 8×8 = 0× (−11) =

11× (−1) = 4× (−2) = 8×9 = (−10)×4 =

4×0 = 10×12 = (−9)×1 = 6×2 =

(−9)×2 = 5× (−3) = 8×3 = 8× (−9) =

5×12 = 3× (−5) = (−7)× (−9) = 6×11 =

(−11)×11 = (−4)× (−2) = (−1)×5 = 8×6 =

1× (−12) = (−5)×1 = 4×4 = 4×1 =

5×1 = 3× (−7) = (−8)×0 = 12×5 =

(−10)×10 = 5× (−2) = (−4)×9 = (−1)×3 =

(−3)× (−3) = (−1)× (−1) = 0×10 = (−10)×6 =

3×10 = (−1)×8 = (−11)× (−2) = 10× (−1) =

Find each product.

10×2 = 20 (−10)×0 = 0 8× (−4) = (−32) 6× (−2) = (−12)

(−9)×10 = (−90) 10× (−12) = (−120) 1×11 = 11 4×3 = 12

(−1)× (−12) = 12 (−2)× (−1) = 2 7×9 = 63 (−3)× (−11) = 33

(−4)×10 = (−40) 10× (−6) = (−60) 5× (−12) = (−60) 3×7 = 21

0×4 = 0 11×6 = 66 (−9)×0 = 0 5× (−8) = (−40)

(−11)×1 = (−11) 2×9 = 18 (−5)×10 = (−50) (−8)× (−7) = 56

5× (−4) = (−20) (−7)×0 = 0 (−11)×0 = 0 (−8)×5 = (−40)

(−6)× (−4) = 24 (−7)×3 = (−21) 9×4 = 36 9×5 = 45

8× (−7) = (−56) (−9)×7 = (−63) 11× (−2) = (−22) 9×7 = 63

(−7)×8 = (−56) (−10)× (−5) = 50 (−6)×1 = (−6) (−8)× (−3) = 24

4×10 = 40 9×8 = 72 (−1)×1 = (−1) (−2)×0 = 0

12×3 = 36 (−1)× (−10) = 10 2×0 = 0 10× (−8) = (−80)

6×10 = 60 12×0 = 0 (−7)× (−7) = 49 (−12)× (−8) = 96

6× (−7) = (−42) (−8)×11 = (−88) (−2)× (−9) = 18 7×6 = 42

6×8 = 48 (−12)× (−9) = 108 8×8 = 64 0× (−11) = 0

11× (−1) = (−11) 4× (−2) = (−8) 8×9 = 72 (−10)×4 = (−40)

4×0 = 0 10×12 = 120 (−9)×1 = (−9) 6×2 = 12

(−9)×2 = (−18) 5× (−3) = (−15) 8×3 = 24 8× (−9) = (−72)

5×12 = 60 3× (−5) = (−15) (−7)× (−9) = 63 6×11 = 66

(−11)×11 = (−121) (−4)× (−2) = 8 (−1)×5 = (−5) 8×6 = 48

1× (−12) = (−12) (−5)×1 = (−5) 4×4 = 16 4×1 = 4

5×1 = 5 3× (−7) = (−21) (−8)×0 = 0 12×5 = 60

(−10)×10 = (−100) 5× (−2) = (−10) (−4)×9 = (−36) (−1)×3 = (−3)

(−3)× (−3) = 9 (−1)× (−1) = 1 0×10 = 0 (−10)×6 = (−60)

3×10 = 30 (−1)×8 = (−8) (−11)× (−2) = 22 10× (−1) = (−10)

Find each quotient.

(−40)÷4 = (−100)÷ (−10) = 144÷ (−12) = (−120)÷10 =

33÷11 = (−12)÷ (−3) = (−132)÷12 = 100÷ (−10) =

(−36)÷ (−4) = (−84)÷ (−12) = 77÷ (−11) = 10÷10 =

(−22)÷ (−2) = (−10)÷ (−2) = (−88)÷ (−8) = 72÷ (−9) =

(−12)÷ (−6) = 110÷ (−11) = (−88)÷8 = (−55)÷5 =

(−18)÷3 = (−8)÷ (−2) = 20÷5 = (−66)÷6 =

(−12)÷ (−12) = (−8)÷1 = 21÷3 = 16÷ (−2) =

120÷ (−10) = (−33)÷ (−3) = 28÷4 = (−96)÷ (−12) =

84÷ (−7) = 66÷ (−11) = (−14)÷2 = (−7)÷ (−1) =

(−72)÷ (−12) = 100÷10 = (−66)÷ (−6) = 6÷ (−3) =

(−28)÷4 = 80÷ (−10) = 32÷4 = 40÷5 =

(−7)÷1 = 15÷3 = (−121)÷ (−11) = 45÷ (−5) =

(−10)÷ (−10) = 30÷3 = 121÷ (−11) = 3÷3 =

(−108)÷ (−12) = 12÷ (−4) = (−50)÷5 = 5÷ (−1) =

(−21)÷ (−3) = 4÷ (−4) = 54÷ (−9) = 84÷ (−12) =

55÷5 = (−4)÷2 = (−33)÷ (−11) = (−8)÷ (−8) =

(−72)÷12 = (−36)÷ (−9) = (−24)÷2 = 45÷ (−9) =

(−120)÷ (−12) = 36÷12 = 12÷3 = 24÷ (−8) =

(−6)÷6 = (−21)÷3 = (−18)÷6 = (−54)÷9 =

(−72)÷ (−9) = 9÷ (−3) = 10÷1 = (−56)÷8 =

50÷ (−10) = (−2)÷1 = 14÷2 = 9÷1 =

(−12)÷1 = 6÷ (−2) = 84÷12 = (−44)÷ (−4) =

(−60)÷10 = 30÷ (−5) = (−9)÷1 = (−120)÷12 =

60÷ (−12) = 64÷ (−8) = 56÷7 = (−8)÷ (−1) =

18÷2 = 36÷ (−9) = (−18)÷ (−3) = 12÷ (−1) =

Find each quotient.

(−40)÷4 = (−10) (−100)÷ (−10) = 10 144÷ (−12) = (−12) (−120)÷10 = (−12)

33÷11 = 3 (−12)÷ (−3) = 4 (−132)÷12 = (−11) 100÷ (−10) = (−10)

(−36)÷ (−4) = 9 (−84)÷ (−12) = 7 77÷ (−11) = (−7) 10÷10 = 1

(−22)÷ (−2) = 11 (−10)÷ (−2) = 5 (−88)÷ (−8) = 11 72÷ (−9) = (−8)

(−12)÷ (−6) = 2 110÷ (−11) = (−10) (−88)÷8 = (−11) (−55)÷5 = (−11)

(−18)÷3 = (−6) (−8)÷ (−2) = 4 20÷5 = 4 (−66)÷6 = (−11)

(−12)÷ (−12) = 1 (−8)÷1 = (−8) 21÷3 = 7 16÷ (−2) = (−8)

120÷ (−10) = (−12) (−33)÷ (−3) = 11 28÷4 = 7 (−96)÷ (−12) = 8

84÷ (−7) = (−12) 66÷ (−11) = (−6) (−14)÷2 = (−7) (−7)÷ (−1) = 7

(−72)÷ (−12) = 6 100÷10 = 10 (−66)÷ (−6) = 11 6÷ (−3) = (−2)

(−28)÷4 = (−7) 80÷ (−10) = (−8) 32÷4 = 8 40÷5 = 8

(−7)÷1 = (−7) 15÷3 = 5 (−121)÷ (−11) = 11 45÷ (−5) = (−9)

(−10)÷ (−10) = 1 30÷3 = 10 121÷ (−11) = (−11) 3÷3 = 1

(−108)÷ (−12) = 9 12÷ (−4) = (−3) (−50)÷5 = (−10) 5÷ (−1) = (−5)

(−21)÷ (−3) = 7 4÷ (−4) = (−1) 54÷ (−9) = (−6) 84÷ (−12) = (−7)

55÷5 = 11 (−4)÷2 = (−2) (−33)÷ (−11) = 3 (−8)÷ (−8) = 1

(−72)÷12 = (−6) (−36)÷ (−9) = 4 (−24)÷2 = (−12) 45÷ (−9) = (−5)

(−120)÷ (−12) = 10 36÷12 = 3 12÷3 = 4 24÷ (−8) = (−3)

(−6)÷6 = (−1) (−21)÷3 = (−7) (−18)÷6 = (−3) (−54)÷9 = (−6)

(−72)÷ (−9) = 8 9÷ (−3) = (−3) 10÷1 = 10 (−56)÷8 = (−7)

50÷ (−10) = (−5) (−2)÷1 = (−2) 14÷2 = 7 9÷1 = 9

(−12)÷1 = (−12) 6÷ (−2) = (−3) 84÷12 = 7 (−44)÷ (−4) = 11

(−60)÷10 = (−6) 30÷ (−5) = (−6) (−9)÷1 = (−9) (−120)÷12 = (−10)

60÷ (−12) = (−5) 64÷ (−8) = (−8) 56÷7 = 8 (−8)÷ (−1) = 8

18÷2 = 9 36÷ (−9) = (−4) (−18)÷ (−3) = 6 12÷ (−1) = (−12)

Find each quotient.

(−132)÷ (−11) = (−12)÷4 = 24÷ (−12) = 2÷1 =

(−16)÷2 = (−30)÷3 = (−48)÷6 = (−132)÷11 =

12÷ (−3) = (−22)÷11 = (−28)÷ (−7) = (−60)÷ (−6) =

28÷ (−7) = (−30)÷ (−5) = (−80)÷ (−10) = (−12)÷2 =

72÷9 = 24÷ (−6) = (−72)÷ (−6) = (−33)÷11 =

21÷ (−7) = (−20)÷2 = 20÷2 = 5÷5 =

(−35)÷7 = (−48)÷ (−4) = (−12)÷ (−1) = 20÷4 =

8÷4 = (−44)÷ (−11) = 55÷ (−5) = 64÷8 =

(−22)÷2 = 108÷9 = 88÷ (−11) = 22÷11 =

63÷ (−9) = (−36)÷12 = 21÷ (−3) = (−12)÷3 =

(−99)÷ (−9) = 110÷10 = 25÷5 = (−44)÷11 =

60÷12 = (−48)÷12 = 48÷ (−12) = 30÷ (−6) =

(−48)÷4 = (−42)÷ (−6) = (−84)÷ (−7) = (−11)÷ (−11) =

33÷ (−3) = 42÷ (−7) = 24÷8 = 48÷ (−4) =

5÷1 = (−30)÷ (−6) = (−40)÷ (−8) = 24÷ (−4) =

132÷ (−12) = 6÷ (−6) = 6÷1 = 2÷ (−2) =

(−27)÷ (−9) = (−40)÷10 = 77÷11 = (−33)÷3 =

72÷ (−6) = 18÷ (−2) = (−15)÷3 = (−9)÷ (−3) =

36÷ (−3) = 72÷12 = 20÷ (−4) = 144÷12 =

44÷ (−11) = (−22)÷ (−11) = 36÷ (−4) = 56÷8 =

9÷ (−9) = 70÷7 = (−36)÷ (−12) = 50÷10 =

70÷10 = (−63)÷9 = 18÷9 = (−81)÷ (−9) =

72÷ (−12) = (−60)÷5 = 77÷7 = (−32)÷8 =

(−56)÷ (−8) = 36÷6 = 40÷ (−4) = (−35)÷ (−7) =

22÷2 = 54÷ (−6) = 81÷ (−9) = (−12)÷6 =

Find each quotient.

(−132)÷ (−11) = 12 (−12)÷4 = (−3) 24÷ (−12) = (−2) 2÷1 = 2

(−16)÷2 = (−8) (−30)÷3 = (−10) (−48)÷6 = (−8) (−132)÷11 = (−12)

12÷ (−3) = (−4) (−22)÷11 = (−2) (−28)÷ (−7) = 4 (−60)÷ (−6) = 10

28÷ (−7) = (−4) (−30)÷ (−5) = 6 (−80)÷ (−10) = 8 (−12)÷2 = (−6)

72÷9 = 8 24÷ (−6) = (−4) (−72)÷ (−6) = 12 (−33)÷11 = (−3)

21÷ (−7) = (−3) (−20)÷2 = (−10) 20÷2 = 10 5÷5 = 1

(−35)÷7 = (−5) (−48)÷ (−4) = 12 (−12)÷ (−1) = 12 20÷4 = 5

8÷4 = 2 (−44)÷ (−11) = 4 55÷ (−5) = (−11) 64÷8 = 8

(−22)÷2 = (−11) 108÷9 = 12 88÷ (−11) = (−8) 22÷11 = 2

63÷ (−9) = (−7) (−36)÷12 = (−3) 21÷ (−3) = (−7) (−12)÷3 = (−4)

(−99)÷ (−9) = 11 110÷10 = 11 25÷5 = 5 (−44)÷11 = (−4)

60÷12 = 5 (−48)÷12 = (−4) 48÷ (−12) = (−4) 30÷ (−6) = (−5)

(−48)÷4 = (−12) (−42)÷ (−6) = 7 (−84)÷ (−7) = 12 (−11)÷ (−11) = 1

33÷ (−3) = (−11) 42÷ (−7) = (−6) 24÷8 = 3 48÷ (−4) = (−12)

5÷1 = 5 (−30)÷ (−6) = 5 (−40)÷ (−8) = 5 24÷ (−4) = (−6)

132÷ (−12) = (−11) 6÷ (−6) = (−1) 6÷1 = 6 2÷ (−2) = (−1)

(−27)÷ (−9) = 3 (−40)÷10 = (−4) 77÷11 = 7 (−33)÷3 = (−11)

72÷ (−6) = (−12) 18÷ (−2) = (−9) (−15)÷3 = (−5) (−9)÷ (−3) = 3

36÷ (−3) = (−12) 72÷12 = 6 20÷ (−4) = (−5) 144÷12 = 12

44÷ (−11) = (−4) (−22)÷ (−11) = 2 36÷ (−4) = (−9) 56÷8 = 7

9÷ (−9) = (−1) 70÷7 = 10 (−36)÷ (−12) = 3 50÷10 = 5

70÷10 = 7 (−63)÷9 = (−7) 18÷9 = 2 (−81)÷ (−9) = 9

72÷ (−12) = (−6) (−60)÷5 = (−12) 77÷7 = 11 (−32)÷8 = (−4)

(−56)÷ (−8) = 7 36÷6 = 6 40÷ (−4) = (−10) (−35)÷ (−7) = 5

22÷2 = 11 54÷ (−6) = (−9) 81÷ (−9) = (−9) (−12)÷6 = (−2)