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messersmith_power_basic_college_1e_ch4_7_10

Definition/Procedure Example 7.5 Metric–U.S. Customary Conversions and Temperature We can convert between U.S. customary and metric units. (p. 472) Relationships Between U.S. Customary Units and Metric Units Length 1 in. 2.54 cm 1 yd 0.91 m 1 ft 0.30 m 1 mi 1.61 km Capacity 1 cup 236.59 mL 1 gal 3.79 L 1 qt 0.95 L Weight (Mass) 1 oz 28.35 g 1 lb 0.45 kg We can use unit fractions to convert between the two measurement systems. (p. 473) Change 20 in. to cm. Identify the relationship between inches and centimeters: 1 in. 2.54 cm Multiply the given measurement of 20 in. by the unit fraction relating inches and centimeters so that inches will divide out and leave us with centimeters. 20 in. 2.54 cm 1 in. 20 in. 1 2.54 cm 1 in. Divide out the unit of inches. 50.8 cm 1 Multiply. 50.8 cm Simplify. Therefore, 20 in. 50.8 cm. Changing from F to C C 5(F 32) 9 To change a Fahrenheit temperature (F) to Celsius (C): 1) Substitute the Fahrenheit temperature for F in the formula. 2) Evaluate the expression using the order of operations. 3) Round the answer to the nearest degree, if necessary. (p. 476) Convert 95F to Celsius. C 5(F 32) 9 C 5(95 32) 9 Substitute 95 for F. C 5(63) 9 Perform subtraction inside parentheses. C 5(63)7 Divide 9 out of the numerator 91 and denominator. C 35 Multiply. Therefore, 95F 35C. Changing from C to F F 9C 5 32 To change a Celsius temperature (C) to Fahrenheit (F): 1) Substitute the Celsius temperature for C in the formula. 2) Evaluate the expression using the order of operations. 3) Round the answer to the nearest degree, if necessary. (p. 476) Convert 11C to Fahrenheit. F 9C 5 32 F 9(11) 5 32 Substitute 11 for C. F 99 5 32 Multiply in the numerator. F 19.8 32 Divide 99 by 5. F 51.8 Add. Round the answer to the nearest degree: 51.8F 52F. Therefore, 11C 52F. www.mhhe.com/messersmith CHAPTER 7 Summary 487


messersmith_power_basic_college_1e_ch4_7_10
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