2.1 Homework Simplify the rational number.

1) 6

18 2)

8

20 3)

12

30

4) 14

21 5)

14

20 6)

45

54

7) 32

32 8)

45

100 9)

35

175

10) 60

150 11)

12

21 12)

13

39

13) Erik gets $25 each week for allowance. He spent $15 on a model train. What fraction of money, in simplest

form, was spent on a model train?

14) Of the 43 U.S. presidents, 21 won an election to a second term. What fraction of the U.S. presidents, in simplest

form, was elected to a second term?

15) 45 minutes is what part of one hour?

2.2 Homework Simplify the rational number.

1) −318

2) 28

−20 3)

−12

30

4) 14

21 5)

−14

−21 6) −(

−1421

)

7) −32

32 8)

45

−100 9) −

70175

10) 90

150 11)

12

32 12)

−36

60

13) 15 minutes is what part of one hour?

14) 75 minutes is what part of one hour?

15) 8 inches is what part of one foot?

2.3 Homework

1. Convert each rational number to its decimal form using long division.

a. −78=

b. 3

16=

2.

a. Eric and four of his friends are taking a trip across the New York State Thruway. They decide to split the cost of tolls

equally. If the total cost of tolls is $8, how much will each person have to pay?

b. Just before leaving on the trip, two of Eric’s friends have a family emergency and cannot go. What is each person’s

share of the $8 tolls now?

2.3 Homework

3. Convert each rational number into its decimal form.

1

9= _______________

1

6= _______________

2

9= _______________

1

3= _______________

2

6= _______________

3

9= _______________

4

9= _______________

3

6= _______________

5

9= _______________

2

3= _______________

4

6= _______________

6

9= _______________

7

9= _______________

5

6= _______________

8

9= _______________

One of these decimal representations is not like the others. Why?

2.4 Homework

1. Convert each terminating decimal to a fraction. Then rewrite each fraction in its simplest form.

a. 0.218

b. 0.16

c. 2.72

d. 0.0005

e. 0.4

f. 0.16

g. 0.625

h. 0.08

i. 0.012

Next Page

2.4 Homework

2. Convert each fraction or mixed number to a decimal.

a. 4

5

b. 3

40

c. 8

200

d. 3516

Homework 2.5 Compare the rational numbers

1) −4

7 −

5

7 2) −

4

7 −

3

5 3) −

7

9 −

9

12

4) −0.4912 − 0.4288 5) −2.001 − 2.0009 6) −7

9 − 0.79

7) Mr. Jordan made 6 out of 11 basketball shots. Ms. Ritter made 13 out of 17 basketball shots. Who had the better

average?

8) On her first quiz, Sophia answered 23 out of 25 questions correctly. On her second quiz, she answered 27 out of

30 correctly. On which quiz did she have the greater score?

Homework 2.6 Compare the rational numbers (Show your work!)

1) −7

4 −

5

3 2) −2

4

7 − 2

3

5

3) −37

9 −

24

7 4) −1.76̅ −

5

3

5) −2.125 − 21

25 6) −3.56 −

17

5

Order from least to greatest

7) −1

4, 0.4, − 4

1

4, 0.04, − 0.4, 4

1

4, − 0.04,

1

4

8) −5

3, − 0.53, − 5

1

3, − 0.053, −

3

5, − 5.3, −

13

5

Homework 2.7

1) 1

4 −

3

4 2) −

78 + 1

8

3) 3

5+ (−

3

5) 4) −

14 − 3

4

5) −17 − 1

7 6) 5

4−

1

4

7) 62

3− 8

1

3 8) 1

4

5− 3

2

5

9) Last year, Susan grew 6

20 of an inch and her brother grew

2

20 of an inch.

How much more did Susan grow than her brother? Simplify your answer.

Homework 2.8

1) 3

5 −

1

4 2) −

79 + 2

3

3) 24

5− 3

1

3 4) −

815

− 13

5) 12

3− 4

1

2 6)

1

4+ (−

5

20)

7) 2

3− 1

1

2

8) Nancy drank 6

7 of a cup of milk at breakfast and 1

25

of a cup of milk at dinner.

In total, how many cups of milk did Nancy drink today?

Homework 2.9

1) 12

3− 4

1

5 2) −61

7−(−812)

3) 1.6 − 4.2 4) −111.8 + 555.2

5) −5.24−2.16 6) 10.286 − 14.65

7) A plane’s gas tank contains 20 gallons of fuel. The plane flies from Ramstein to Aviano, and uses 92

3

gallons of gas. How much fuel does the plane have left in its tank to return to Ramstein?

8) Jolene lost her wallet at the Exchange. It had $12 in it. When she got home, her brother felt sorry for

her and gave her $5.64. Represent this situation with an expression involving rational numbers. What is the

overall change in the amount of money Jolene has?

2.10 Homework Rewrite each of the following as a single rational number.

1. 10 + (−338

)

2. 1

5+ 20.3 − (−5

3

5)

3. 1 −3

4+ (−12

1

4)

Homework 2.11

Write your answer in simplest form.

1) −13− 3

7 2) −13∙ −3

7

3) −312 ∙ −1

23 4)

3

8∙ (−

12

5)

5) −78 ∙

34 6) −

95∙ −25

6

7) 6

10∙ −

5

8 8)

12

15∙2

6

9) 3

5∙2

5

10) Monday, a farmer (named Ricardo) in Spain harvested 1012

bushels of oranges. On Tuesday, he was

sore, so he was only able to harvest 3

5 of the amount of Monday’s oranges. How many bushels did the farmer

end up harvesting on Tuesday?

Homework 2.12

Write your answer in simplest form.

1) −35÷−9

5 2) −

411÷ 8

3

3) −213÷−12

3 4)

5

2÷ (−

4

2)

5) −78÷

34 6)

11

10÷

4

5

7) 3

5÷ −

4

2 8)

6

20÷

4

5

9) 12

9÷−

5

10

10) Mr. Jordan is painting statues. He is cheap, so he bought 7

8 of a gallon of paint at a used paint store. If

each statue requires 1

16 of a gallon of paint, how many statues can he paint?

Homework 2.13

Write your answer in simplest form.

1) −3.2 ∙−2.8 2) 1.25 ∙ (−4.3)

3) −0.25 ∙ 2.1 4) −1.11 ∙−3.21

5) 8.1 ÷ (−2.7) 6) −2.5 ÷ (−0.5)

7) −4.45 ÷ 1.25

8) A photography shop can develop 5.8 photographs per hour. How many

photographs can it develop in 3.25 hours?

Homework 2.14

Write your answer in simplest form.

1) (−2.5) ∙1

4

2) −0.3 ÷ (−2

5)

3) 0.6 ÷ (−2

5) ∙

1

4

2.16 Homework Simplify the Complex Fractions

1) −

3

47

8

2) 2

3 −

3

47

8 ÷

5

6

3) 1 − 2

5

67

8 − 5

4) 5

4 ÷ −2

1

4 +

1

4 ∙

1

4

2.17 Homework

1. |−19 − 12|

2. |19 − (−12)|

3. |10 − (−43)|

4. |−10 − 43|

5. |−1 − (−16)|

6. |1 − 16|

7. |0 − (−9)|

8. |0 − 9|

9. |−14.5 − 13|

10. |14.5 − (−13)|

11. Describe any patterns you see in the answers to the problems in the left- and right-hand columns. Why do you think

this pattern exists?

12. Two Grade 7 students, Monique and Matt, both solved the following math problem:

If the temperature drops from 7°F to −17°F, by how much did the temperature decrease?

The students came up with different answers. Monique said the answer is 24°F, and Matt said the answer is 10°F. Who is correct? Explain, and support your written response with the use of a formula and a vertical number line diagram.