Definition/Procedure Example 7.4 Solve Applied Problems Involving Metric Units Perform Operations with Metric Units We can add, subtract, multiply, and divide numbers with metric units. Sometimes, it is necessary to express the numbers with the same units before performing the operations. (p. 466) Add 3 m 215 mm. The units are not the same, so we will convert one of the units so that it is the same as the other. Express each measurement in meters. 215 mm 0.215 m Now, add the measurements. 3 m 215 mm 3 m 0.215 m 3.215 m Express each measurement in millimeters. 3 m 3000 mm Now, add the measurements. 3 m 215 mm 3000 mm 215 mm 3215 mm Solve an Applied Problem Involving Metric Units We can use the problem-solving steps introduced in Section 2.7 to solve applications involving metric units. (p. 466) The instructions on a 140-mL bottle of prescription cough medicine say to take 10 mL of the medicine two times per day until it is gone. How many days will the medicine last? Step 1: Read the problem carefully, and restate it in your own words. A bottle contains a total of 140 mL of medicine. The dosage is 10 mL twice a day. We must determine how many days the medicine will last. Step 2: Make a plan. Underline important words in our restatement of the problem in Step 1. Plan: First, determine how much medicine is taken per day. Then, divide the total amount of medicine, 140 mL, by the amount of medicine taken each day. Step 3: Solve the problem. Since the dosage is 10 mL twice a day, the total amount of medicine taken each day is 10 mL 2 20 mL. Divide 140 mL by 20 mL to determine the number of days the medicine will last: 140 mL 20 mL 7 Step 4: State the answer in a complete sentence. The medicine will last 7 days. Step 5: Check the answer. The check is left to the student. 486 CHAPTER 7 Measurement and Conversion www.mhhe.com/messersmith
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