Step 2: Make a plan. Underline important words in our restatement of the problem in Step 1. Plan: First, change 280 L to milliliters since the answer should be in milliliters. Then, divide the total amount of shampoo produced by 800. Step 3: Solve the problem. To change 280 L to milliliters, use either unit fractions or the metric conversion chart. Using the relationship between liters and milliliters, move the decimal point in 280 L three places to the right to change to milliliters: 280 L 280,000 mL Divide 280,000 mL by 800 to determine the number of milliliters of shampoo in each bottle: 350 800280,000 Step 4: State the answer in a complete sentence. Each bottle will contain 350 mL of shampoo. Step 5: Check the answer. Work backward. If 800 bottles each contain 350 mL of shampoo, then the total amount of shampoo is 800 350 mL 280,000 mL. Changing from milliliters to liters, we get 280 L. YOU TRY 5 Twenty kilograms of granola is packaged evenly into 50 bags. How many grams of granola are in each bag? ANSWERS TO YOU TRY EXERCISES 1) 4.742 m or 4742 mm 2) 56 g 3) 850 mL 4) $2.23 5) 400 g 7.4 Exercises Do the exercises, and check your work. Objective 1: Perform Operations with Metric Units Perform the indicated operation. 1) 3 m 55 cm 2) 9 m 23 cm 3) 2.4 kg 160 g 4) 1.3 kg 420 g 5) 0.8 L 619 mL 6) 0.7 L 525 mL 7) 1.75 m 32 cm 8) 4.64 m 72 cm 9) 0.27 m 57 cm 10) 0.38 m 49 cm 11) 2.25 kg 455 g 12) 0.68 kg 325 g 13) 0.75 L 75 mL 14) 0.13 L 13 mL 15) 2.5 g 300 mg 16) 3.5 cm 50 mm 17) Divide 24 L by 8. 18) Divide 30 g by 5. 19) Divide 750 mL by 3. 20) Divide 900 cm by 6. 21) Divide 4.8 m by 12. 22) Divide 9.6 m by 16. 23) Multiply 14 cm by 8. 24) Multiply 32 cm by 7. 25) Multiply 1.77 g by 9. 26) Multiply 5.18 g by 4. 27) Divide 9 kg by 2. 28) Divide 14 km by 4. 29) Divide 0.612 kg by 18. 30) Divide 0.552 kg by 24. www.mhhe.com/messersmith SECTION 7.4 Solve Applied Problems Involving Metric Units 469
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