Decimals and Volume. Topic 3. I. Converting Fractions to Decimals. A. Convert each fraction to a decimal

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Name I. Converting Fractions to Decimals A. Convert each fraction to a decimal. 1. 41 50 2. 2 5 Date 3. 18 25 88 4. 100 5. 1 4 6. 13 20 B. Write each fraction as an equivalent fraction with a power of 10 in the denominator. Then write the fraction as a decimal. 1. 3 5 68 2. 125 3. 47 50 4. 134 250 5. 13 25 6. 1 2 : Skills Practice 21

PAGE 22 II. Adding and Subtracting Decimals A. Calculate each sum or difference. 1. 34.87 1 12.01 1 25.92 2. 16.09 1 15.28 1 35.91 3. 47.15 2 10.09 4. 135.826 2 57.12 5. 12.89 1 7.45 2 3.005 6. 68.52 2 12.708 1 3.92 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? 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? 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? 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? 22 Module 1: Composing and Decomposing

PAGE 23 Name Date 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 Facts A. Write the decimal multiplication shown by each model. Then determine each product. 1. 2. 3. 4. : Skills Practice 23

PAGE 24 5. 6. B. Write each product in words. 1. 3 tenths 3 9 tenths 5 2. 8 tenths 3 7 tenths 5 3. 6 tenths 3 5 tenths 5 4. 1 tenth 3 6 tenths 5 5. 4 tenths 3 4 tenths 5 6. 7 tenths 3 2 tenths 5 C. Determine each product. 1. 0.3 3 0.4 2. 0.7 3 0.6 3. 0.1 3 0.8 4. 0.2 3 0.2 5. 0.5 3 0.7 6. 0.8 3 0.9 24 Module 1: Composing and Decomposing

PAGE 25 Name Date D. Use the model to determine each quotient. 1. 2. 0.18 4 0.3 5 0.28 4 0.7 5 3. 4. 0.54 4 0.6 5 0.09 4 0.3 5 5. 6. 0.40 4 0.5 5 0.48 4 0.8 5 : Skills Practice 25

PAGE 26 E. Write each quotient in words. 1. 36 hundredths 4 9 tenths 5 2. 49 hundredths 4 7 tenths 5 3. 10 hundredths 4 5 tenths 5 4. 24 hundredths 4 3 tenths 5 5. 12 hundredths 4 2 tenths 5 6. 1 hundredth 4 1 tenth 5 F. Determine each quotient. 1. 0.63 4 0.9 2. 0.20 4 0.4 3. 0.24 4 0.6 4. 0.64 4 0.8 5. 0.04 4 0.4 6. 0.16 4 0.2 26 Module 1: Composing and Decomposing

PAGE 27 Name Date IV. Multiplying and Dividing Decimals A. Calculate each product by multiplying as with whole numbers. Then determine the correct place of the decimal point. 1. 4.6 3 3.2 2. 2.8 3 5.7 3. 1.05 3 8.3 4. 6.14 3 7.5 5. 2.037 3 9.4 6. 3.005 3 4.08 B. Estimate each product to the nearest whole number. Then calculate each product. 1. 5.9 3 2.4 2. 3.1 3 6.2 3. 4.17 3 7.2 4. 2.06 3 8.25 5. 9.154 3 1.62 6. 8.361 3 2.042 : Skills Practice 27

PAGE 28 C. Calculate each quotient. 1. 24.38 4 4.6 2. 77.28 4 8.4 3. 11.88 4 2.2 4. 50.63 4 6.1 5. 10.025 4 2.5 6. 9.632 4 3.2 D. Estimate each quotient to the nearest whole number. Then calculate each quotient. 1. 16.1 4 3.5 2. 48.14 4 8.3 3. 59.52 4 6.4 4. 7.524 4 4.4 5. 25.012 4 5.2 6. 5.568 4 2.4 28 Module 1: Composing and Decomposing

PAGE 29 Name Date V. Decimal Products and Quotients A. Given each product or quotient, determine the correct placement of the decimal point. 1. 3.68 3 5.26 5 193568 2. 231.04 4 152 5 152 3. 0.8962 3 91.21 5 81742402 4. 4.5 3 2.004 5 9018 5. 8.94 4 0.16 5 55875 6. 73.92 4 0.6 5 1232 B. Use the fact that 26 3 31 5 806 to determine each product or quotient. 1. 26 3 3.1 5 2. 260 3 31 5 3. 26 3 3100 5 4. 0.26 3 3.1 5 5. 806 4 3.1 5 6. 80,600 4 31 5 7. 0.0806 4 26 5 8. 8.06 4 2.6 5 : Skills Practice 29

PAGE 30 VI. Calculating Volume of Right Prisms A. Determine the volume of each right rectangular prism. 1. 4.2 cm 2. 2.5 in. 25.2 cm 9.4 in. 15.8 cm 7.4 in. 3. 4. 5 in. 5.8 cm 8.3 in. 11.5 cm 3.1 in. 6 cm 30 Module 1: Composing and Decomposing

PAGE 31 Name Date 5. 6. 1.25 ft 2.5 ft 2.5 ft 150 mm 70 mm 70 mm VII. Using Volume of Right Prisms A. Given the volume, determine the unknown measure. 1. Volume 5 10.08 cubic centimeters 2. Volume 5 869.466 cubic centimeters? cm 2 cm 2.4 cm? cm 15.7 cm 7.1 cm : Skills Practice 31

PAGE 32 3. Volume 5 1011.2 cubic inches 4. Volume 5 6708 cubic feet? ft 8 in. 21.5 ft 8 in.? in. 20.8 ft 5. Volume 5 3312 cubic feet 6. Volume 5 268.128 cubic centimeters 12 ft? ft 23 ft 3.6 cm? cm 5.6 cm 32 Module 1: Composing and Decomposing

PAGE 33 Name Date VIII. Calculating Surface Area of Right Prisms A. Determine the surface area of each right rectangular prism. 1. 4.2 cm 2. 2.5 in. 25.2 cm 9.4 in. 15.8 cm 7.4 in. 3. 4. 5 in. 5.8 cm 8.3 in. 11.5 cm 3.1 in. 6 cm : Skills Practice 33

PAGE 34 5. 6. 1.25 ft 2.5 ft 2.5 ft 150 mm 70 mm 70 mm 34 Module 1: Composing and Decomposing