9 R.1 Fractions, Decimals, and Percents S Now Try Exercises 117 and 125. EXAMPLE 10 Multiplying and Dividing by Powers of 10 Multiply or divide as indicated. (a) 48.731 * 10 (b) 48.731 * 1000 (c) 48.731 , 10 (d) 48.731 , 1000 SOLUTION (a) 48.731 * 10 = 48.731 = 487.31 (b) 48.731 * 1000 = 48.731 = 48,731 Move the decimal point one place to the right. Move the decimal point three places to the right. (c) 48.731 , 10 = 48.731 = 4.8731 Move the decimal point one place to the left. (d) 48.731 , 1000 = 048.731 = 0.048731 Move the decimal point three places to the left. Converting a Fraction to a Decimal Because a fraction bar indicates division, write a fraction as a decimal by dividing the numerator by the denominator. EXAMPLE 11 Writing Fractions as Decimals Write each fraction as a decimal. (a) 19 8 (b) 2 3 SOLUTION (a) 19 8 2.375 8)19.000 16 30 24 60 56 40 40 0 Divide 19 by 8. Add a decimal point and as many 0s as necessary to 19. 19 8 = 2.375 Terminating decimal (b) 2 3 0.6666c 3)2.0000c 18 20 18 20 18 20 18 2 2 3 = 0.6666c Repeating decimal = 0.6 A bar is written over the repeating digit(s). ≈0.667 Nearest thousandth S Now Try Exercises 141 and 147. Fractions as Decimals
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