Convert each measurement to the indicated unit. a) 8.416 km to meters b) 278.5 mm to meters c) 9 m to centimeters d) 120 mm to kilometers Solution a) Find km on the metric conversion chart. Since we have to change 8.416 km to meters, move three places to the right to get to m. EXAMPLE 4 m or 0.001 m 1 1000 m or 0.01 m 1 100 m or 0.1 m 1 10 1000 m 100 m 10 m 1 m km hm dam m dm End here. Start here. cm mm Move three places to the right. Since we moved three places to the right to get to m, move the decimal point three places to the right to change to meters. 8.416 km 8416 m Move the decimal point three places to the right. Therefore, 8.416 km 8416 m. b) To change 278.5 mm to meters, fi nd mm on the metric conversion chart. Move three places to the left to get to m. m or 0.001 m 1 1000 m or 0.01 m 1 100 m or 0.1 m 1 10 1000 m 100 m 10 m 1 m km hm dam m dm End here. cm mm Start here. Move three places to the left. Since we moved three places to the left to get to m, move the decimal point three places to the left to change 278.5 mm to meters. 278.5 mm .2785 m Move the decimal point three places to the left. So, 278.5 mm 0.2785 m. c) To change 9 m to centimeters, fi nd m on the metric conversion chart. Move two places to the right to get to cm. m or 0.001 m 1 1000 m or 0.01 m 1 100 m or 0.1 m 1 10 1000 m 100 m 10 m 1 m km hm dam m dm cm mm End here. Start here. Move two places to the right. Put a decimal point at the end of the number 9. When you move the decimal point two places to the right, you must put in zeros as placeholders. 9. m 900 cm Put in zeros as placeholders. Put the decimal point at Move the decimal point two places the end of the number. to the right. Therefore, 9 m 900 cm. www.mhhe.com/messersmith SECTION 7.2 The Metric System: Length 451
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