Decimals anD Volume: Skills Practice • 21

I. Converting Fractions to DecimalsA. convert each fraction to a decimal.

B. Write each fraction as an equivalent fraction with a power of 10 in the denominator. Then write the fraction as a decimal.

2. 2 __ 5

4. 88 ____ 100

6. 13 ___ 20

1. 41 ___ 50

3. 18 ___ 25

5. 1 __ 4

1. 3 __ 5

3. 47 ___ 50

5. 13 ___ 25

2. 68 ____ 125

4. 134 ____ 250

6. 1 __ 2

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2. 16.09 1 15.28 1 35.91

4. 135.826 2 57.12

6. 68.52 2 12.708 1 3.92

II. Adding and Subtracting DecimalsA. calculate each sum or difference.

1. 34.87 1 12.01 1 25.92

3. 47.15 2 10.09

5. 12.89 1 7.45 2 3.005

B. solve each problem.

1. cristina wants to purchase four items at the sporting goods store. The items she wants to buy are soccer cleats for $24.99, shin guards for $12.99, soccer socks for $4.49, and a soccer ball for $19.95. How much will the four items cost?

3. Jada and Tonya ran a 400-meter race. Jada ran the race in 75.2 seconds. Tonya ran the race in 69.07 seconds. How much faster did Tonya run the race?

2. cisco wants to purchase three items at the sporting goods store. The items he wants to buy are football pants for $21.99, football pads for $25.49, and football cleats for $27.95. How much will the three items cost?

4. Kata wants to purchase three items at a department store. The items she wants to buy are jeans for $24.99, a T-shirt for $14.99 and a pair of earrings for $7.49. If Kata gives the cashier $50, how much change will she get?

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5. deon, jerome, lamar, and Terell are practicing for the meter relay race. The school record for the race is 49.6 seconds. The fastest time that each boy ran a 100-meter sprint in practice is shown in the table. if each of the boys can run their best 100-meter sprint during the race, can they beat the school record?

Boy Time (seconds)

Deon 11.9

jerome 12.6

lamar 12.52

Terell 11.95

6. eva, Sofia, and Maria are practicing for the 50-yard freestyle swimming race. The school record for the race is 28.93 seconds. The fastest time that each girl swam the 50-yard race in practice is shown in the table.

Girl Time (seconds)

eva 29.76

Sofia 31.3

maria 30.02

How much faster must each girl swim to tie the school record?

III. Exploring Decimal FactsA. Write the decimal multiplication shown by each model. Then determine each product.

2. 1.

4. 3.

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6. 5.

2. 8 tenths 3 7 tenths 5

4. 1 tenth 3 6 tenths 5

6. 7 tenths 3 2 tenths 5

B. Write each product in words.

1. 3 tenths 3 9 tenths 5

3. 6 tenths 3 5 tenths 5

5. 4 tenths 3 4 tenths 5

2. 0.7 3 0.6

4. 0.2 3 0.2

6. 0.8 3 0.9

C. Determine each product.

1. 0.3 3 0.4

3. 0.1 3 0.8

5. 0.5 3 0.7

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D. use the model to determine each quotient.

2. 1.

0.18 4 0.3 5 0.28 4 0.7 5

4. 3.

0.54 4 0.6 5 0.09 4 0.3 5

6. 5.

0.40 4 0.5 5 0.48 4 0.8 5

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E. Write each quotient in words.

2. 49 hundredths 4 7 tenths 5

4. 24 hundredths 4 3 tenths 5

6. 1 hundredth 4 1 tenth 5

1. 36 hundredths 4 9 tenths 5

3. 10 hundredths 4 5 tenths 5

5. 12 hundredths 4 2 tenths 5

1. 0.63 4 0.9

3. 0.24 4 0.6

5. 0.04 4 0.4

2. 0.20 4 0.4

4. 0.64 4 0.8

6. 0.16 4 0.2

F. Determine each quotient.

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IV. Multiplying and Dividing DecimalsA. calculate each product by multiplying as with whole numbers. Then determine the correct

place of the decimal point.

2. 2.8 3 5.7

4. 6.14 3 7.5

6. 3.005 3 4.08

1. 4.6 3 3.2

3. 1.05 3 8.3

5. 2.037 3 9.4

1. 5.9 3 2.4

3. 4.17 3 7.2

5. 9.154 3 1.62

2. 3.1 3 6.2

4. 2.06 3 8.25

6. 8.361 3 2.042

B. estimate each product to the nearest whole number. Then calculate each product.

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C. calculate each quotient.

2. 77.28 4 8.4

4. 50.63 4 6.1

6. 9.632 4 3.2

1. 24.38 4 4.6

3. 11.88 4 2.2

5. 10.025 4 2.5

1. 16.1 4 3.5

3. 59.52 4 6.4

5. 25.012 4 5.2

2. 48.14 4 8.3

4. 7.524 4 4.4

6. 5.568 4 2.4

D. estimate each quotient to the nearest whole number. Then calculate each quotient.

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V. Decimal Products and QuotientsA. Given each product or quotient, determine the correct placement of the decimal point.

2. 231.04 4 152 5 152

4. 4.5 3 2.004 5 9018

6. 73.92 4 0.6 5 1232

1. 3.68 3 5.26 5 193568

3. 0.8962 3 91.21 5 81742402

5. 8.94 4 0.16 5 55875

1. 26 3 3.1 5

3. 26 3 3100 5

5. 806 4 3.1 5

7. 0.0806 4 26 5

2. 260 3 31 5

4. 0.26 3 3.1 5

6. 80,600 4 31 5

8. 8.06 4 2.6 5

B. use the fact that 26 3 31 5 806 to determine each product or quotient.

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VI. Calculating Volume of Right PrismsA. Determine the volume of each right rectangular prism.

2. 1.

15.8 cm

4.2 cm

25.2 cm

9.4 in.

2.5 in.

7.4 in.

4. 3.

11.5 cm

6 cm

5.8 cm 8.3 in.3.1 in.

5 in.

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6. 5.

1.25 ft

2.5 ft 2.5 ft

150 mm

70 mm 70 mm

VII. Using Volume of Right PrismsA. Given the volume, determine the unknown measure.

2. Volume 5 869.466 cubic centimeters1. Volume 5 10.08 cubic centimeters

? cm

2 cm2.4 cm

15.7 cm 7.1 cm

? cm

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4. Volume 5 6708 cubic feet3. Volume 5 1011.2 cubic inches

8 in.

8 in.

? in.

21.5 ft

20.8 ft

? ft

6. Volume 5 268.128 cubic centimeters5. Volume 5 3312 cubic feet

23 ft

? ft

12 ft

? cm

5.6 cm

3.6 cm

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VIII. Calculating Surface Area of Right PrismsA. Determine the surface area of each right rectangular prism.

4. 3.

11.5 cm

6 cm

5.8 cm 8.3 in.3.1 in.

5 in.

2. 1.

15.8 cm

4.2 cm

25.2 cm

9.4 in.

2.5 in.

7.4 in.

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6. 5.

1.25 ft

2.5 ft 2.5 ft

150 mm

70 mm 70 mm

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