YOU TRY 8 Sonja has to buy basil leaves at the grocery store. The label on the shelf for Brand A says that its unit cost is $3.59/oz. The label for Brand B says that the unit cost is $49.89/lb. Which is the better buy? ANSWERS TO YOU TRY EXERCISES 1) a) 3 b) 2000 c) 2 2) a) 4 tons b) 3 pt c) 1 5 min d) 13.5 ft 3) 2 hr 4) a) 48 oz b) 4 1 2 pt or 4.5 pt c) 4 5 hr or 0.8 hr d) 11,880 ft 5) 1 3 7) 1 qt 8) Brand B is the better buy because the unit cost of Brand A is $57.44/lb. Using Technology When using more than one unit fraction to convert to a desired unit, we can use a calculator to perform the required calculation. Suppose we wanted to convert 100 c to gallons. In this case, our expression of unit fractions would be 100 c 1 pt 1 qt 1 gal . 1 2 c 2 pt 4 qt (Note: Because dividing or multiplying by 1 does not affect the fi nal answer, we can disregard them in the calculation). To perform the calculation with a calculator (disregarding the 1’s) we enter 1 0 0 2 2 4 . The display will likely show 6.25. This means 100 c 6.25 gal. It is a common mistake to enter 1 0 0 2 2 4 into the calculator for this problem. Why is this incorrect? 7.1 Exercises Do the exercises, and check your work. Objective 1: Learn U.S. Customary Measurements In U.S. customary units, 1) name three units used to measure length. 2) name three units used to measure capacity. 3) what is the relationship between inches and feet? 4) what is the relationship between ounces and pounds? Fill in the blank. 5) 1 min sec; min 1 hr 6) 1 day hr; sec 1 min 7) ft 1 yd; ft 1 mi 8) fl oz 1 c; 1 pt c 9) pt 1 qt; 1 c fl oz 10) 1 ton lb; oz 1 lb hr 6) 48 c Objective 2: Use Multiplication or Division to Convert Between Units In U.S. customary units, 11) when do you use division to convert between units? 12) when do you use multiplication to convert between units? Use multiplication or division to convert to the indicated unit. 13) 3 hr to minutes 14) 5 hr to minutes 15) 36 in. to feet 16) 8 c to pints 17) 6 qt to gallons 18) 2 qt to gallons 19) 1500 lb to tons 20) 800 lb to tons 21) 2 1 2 hr to minutes 22) 3 1 2 lb to ounces 442 CHAPTER 7 Measurement and Conversion www.mhhe.com/messersmith
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