 # EXAMPLE 1 Converting Metric Units of Length Running

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EXAMPLE 1 Converting Metric Units of Length Running In the meter relay race, four teammates each run 800 meters. The total length of the race is 3200 meters. How many kilometers long is the race?

The 4 800 meter relay race is 3.2 kilometers long.
EXAMPLE 1 Converting Metric Units of Length To find the length in kilometers of the relay race, convert 3200 meters to kilometers. SOLUTION You are converting from a smaller unit (meters) to a larger unit (kilometers), so divide by a power of 10. From meters to kilometers, the decimal point is moved 3 places to the left, so divide by 103, or 1000. = 3.2 3200 meters = 3.2 kilometers ANSWER The meter relay race is 3.2 kilometers long.

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EXAMPLE 2 Converting Units of Mass and Capacity Copy and complete the statement. a. 15 g = ? mg b. 590 mL = ? L SOLUTION a. To convert from grams to milligrams, multiply by 1000. = 15,000, so 15 g = 15,000 mg. b. To convert from milliliters to liters, divide by 1000. = 0.59, so 590 mL = 0.59 L.

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GUIDED PRACTICE for Examples 1 and 2 Copy and complete the statement. m = ? km ANSWER 6.8 2. 54 m = ? mm ANSWER 54,000 cm = ? m ANSWER 8.3

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GUIDED PRACTICE for Examples 1 and 2 Copy and complete the statement. mm = ? cm ANSWER 11.5 kL = ? L ANSWER 9250 g = ? kg ANSWER 0.1