Read the explanations, follow the examples, take notes, and complete the You Trys. 1 Perform Operations with Metric Units To solve some applications, we have to add, subtract, multiply, or divide numbers with metric units. For example, 4.6 kg 2.1 kg 6.7 kg. Because the units are the same, we add the numbers and keep the units of kg. However, if these units are not the same, we may have to express them with the same units before performing the operations. EXAMPLE 1 Add 2 m 31 cm. Solution The units are not the same, so we have to convert one of the units so that it is the same as the other. We can convert to either meters or centimeters using the metric conversion chart or unit fractions. Let’s use the relationship between meters and centimeters to move the decimal point. Express each measurement in meters. 31 cm 0.31 m Change centimeters to meters. Now, add the measurements. 2 m 31 cm 2 m 0.31 m 2.31 m Express each measurement in centimeters. 2 m 200 cm Change meters to centimeters. Now, add the measurements. 2 m 31 cm 200 cm 31 cm 231 cm The answer can be expressed either way: 2 m 31 cm 2.31 m or 231 cm. Is it easier for you to understand what 2.31 m represents or what 231 cm represents? YOU TRY 1 Add 4 m 742 mm. EXAMPLE 2 Divide 36 L by 4. Solution Only one number is a unit of measurement. This problem means divide 36 L into four equal parts. We just divide 36 by 4, and keep the units of L. 36 L 4 9 L YOU TRY 2 Multiply 7 g by 8. 2 Solve Applied Problems Involving Metric Units As we did to solve other applications, we will use the steps introduced in Section 2.7 to solve applied problems involving metric units. 466 CHAPTER 7 Measurement and Conversion www.mhhe.com/messersmith
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