Procedure How to Convert Between Units Using Unit Analysis Step 1: Identify the units given and the units we want to get. Write down the relationship between those units. Step 2: Multiply the given measurement by the unit fraction relating the unit given and the unit we want to get so that the given unit will divide out and leave us with the unit we want. Note The units tell us whether we are doing the conversion correctly. If the units do not divide out, then we are doing the problem incorrectly. YOU TRY 3 Use unit analysis to convert 120 min to hours. Use unit analysis to convert each measurement to the indicated unit. a) 5 wk to days b) 7 pt to quarts c) 1800 lb to tons d) 5 2 3 yd to feet Solution a) Step 1: Identify the units given and the units we want to get. Write down the relationship between those units. We are given weeks and want to convert to days. The relationship is 1 week 7 days Step 2: Multiply the given measurement by the unit fraction relating the unit given and the unit we want to get so that the given unit will divide out and leave us with the unit we want. 5 wk 7 days 1 wk 5 wk 1 7 days 1 wk Divide out the unit of weeks. 35 days 1 Multiply. 35 days Simplify. So, 5 weeks 35 days. EXAMPLE 4 570 CHAPTER 7 Measurement and Conversion www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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