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Choosing and Converting Units

Multiply by a conversion factor. 0.7 mi 1. 5,280 ft 1 mi. 0.7 mi = •. Divide by the common units. (0.7)(5,280) ft 1. =. Simplify. Simplify. = 3,696 ft. COURSE 3 LESSON 5-2. Choosing and Converting Units. Use dimensional analysis to convert 0.7 mi to ft.

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Choosing and Converting Units

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  1. Multiply by a conversion factor. 0.7 mi 1 5,280 ft 1 mi 0.7 mi = • Divide by the common units. (0.7)(5,280) ft 1 = Simplify. Simplify. = 3,696 ft COURSE 3 LESSON 5-2 Choosing and Converting Units Use dimensional analysis to convert 0.7 mi to ft. There are 3,696 ft in 0.7 miles. 5-2

  2. Estimate 6.84 7. Then, 7 • 60 ÷ 1000 = 0.42. Multiply by two ratios that each equal one. 6.84 m 1 s 6.84 m 1 s 1 km 1000 m 60 s 1 min = • • Divide by the common units. (6.48)(1)(60) km (1)(1,000)(1) min = Simplify. Use a calculator. = 0.4104 COURSE 3 LESSON 5-2 Choosing and Converting Units A rowing team completed a 2,000-m course at a rate of 6.84 m/s. Convert this rate to kilometers per minute. The team rowed at a rate of 0.4104 km/min. Check for Reasonableness The answer 0.4104 km/min is close to the estimate 0.42. The answer is reasonable. 5-2

  3. Round to the nearest number divisible by 4. 33 qt 32 qt 32 qt 1 1 gal 4 qt Multiply by the conversion factor. = • Divide by the common units. 32 4 = gallons Simplify. Divide. = 8 gallons COURSE 3 LESSON 5-2 Choosing and Converting Units Use compatible numbers to estimate the number of gallons in 33 quarts. 1 gal 4 qt The conversion factor for changing gallons to quarts is . There are about 8 gallons in 33 quarts. 5-2

  4. COURSE 3 LESSON 5-2 Choosing and Converting Units 1. Choose an appropriate customary unit and metric unit for the distance between two cities. 2. Convert 0.75 hours to seconds. 3. $150 per hour is how much per minute? 4. 69.2 cm is about how many meters? miles; kilometers 2,700 s $2.50 per min 0.7 m 5-2

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