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7-6 Percents, Decimals, and Fractions Learn to write decimals and fractions as percents.

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7-6 Percents, Decimals, and Fractions Additional Example 1A: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. 0.7 Write the decimal as a fraction. Write an equivalent fraction with 100 as the denominator. 0.7 = 7 10 __ 7 10 10 _______ = 70 100 ___ 70 100 ___ = 70% Write the numerator with a percent symbol.

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7-6 Percents, Decimals, and Fractions Additional Example 1B: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. 0.16 Write the decimal as a fraction.0.16 = 16 100 __ 16 100 ___ = 16% Write the numerator with a percent symbol.

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7-6 Percents, Decimals, and Fractions Additional Example 1C: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by 100. 0.4118 Multiply by 100.0.4118 100 41.18%Add the percent symbol.

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7-6 Percents, Decimals, and Fractions Additional Example 1D: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by 100. 0.067 Multiply by 100.0.067 100 6.7%Add the percent symbol.

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7-6 Percents, Decimals, and Fractions Check It Out: Example 1A Write the decimal as a percent. Method 1: Use place value. 0.9 Write the decimal as a fraction. Write an equivalent fraction with 100 as the denominator. 0.9 = 9 10 __ 9 10 10 _______ = 90 100 ___ 90 100 ___ = 90% Write the numerator with a percent symbol.

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7-6 Percents, Decimals, and Fractions Check It Out: Example 1B Write the decimal as a percent. Method 1: Use place value. 0.31 Write the decimal as a fraction.0.31 = 31 100 ___ = 31% Write the numerator with a percent symbol. 31 100

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7-6 Percents, Decimals, and Fractions Check It Out: Example 1C Write the decimal as a percent. Method 2: Multiply by 100. 0.1225 Multiply by 100.0.1225 100 12.25%Add the percent symbol.

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7-6 Percents, Decimals, and Fractions Check It Out: Example 1D Write the decimal as a percent. Method 2: Multiply by 100. 0.023 Multiply by 100.0.023 100 2.3%Add the percent symbol.

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7-6 Percents, Decimals, and Fractions When the denominator is a factor of 100, it is often easier to use method 1. When the denominator is not a factor of 100, it is usually easier to use method 2. Helpful Hint

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7-6 Percents, Decimals, and Fractions Additional Example 2A: Writing Fractions as Percents Write an equivalent fraction with 100 as the denominator. 9 4 25 4 ______ = 36 100 ___ 36 100 ___ = 36% Write the numerator with a percent symbol. 9 25 __ Write the fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100.

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7-6 Percents, Decimals, and Fractions Additional Example 2B: Writing Fractions as Percents Divide the numerator by the denominator. 0.15 = 15% Multiply by 100 by moving the decimal point right two places. Add the percent symbol. 3 20 __ 100 20 3.00 0.15 –20 –100 0 Method 2: Use division to write the fraction as a decimal.

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7-6 Percents, Decimals, and Fractions Check It Out: Example 2A Write the fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. Write an equivalent fraction with 100 as the denominator. 7 2 50 2 ______ = 14 100 ___ 14 100 ___ = 14% Write the numerator with a percent symbol. 7 50 __

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7-6 Percents, Decimals, and Fractions Check It Out: Example 2B Divide the numerator by the denominator. 0.16 = 16% Multiply by 100 by moving the decimal point right by two places. Add the percent symbol. 8 50 __ 50 8.00 0.16 Method 2: Use division to write the fraction as a decimal.

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7-6 Percents, Decimals, and Fractions Additional Example 3: Application One year, of people with home offices were self-employed. What percent of people with home offices were self employed? Write an equivalent fraction with a denominator of 100. 7 4 25 4 ______ = 28 100 ___ 28 100 ___ = 28% 7 25 __ 7 25 __ 28% of people with home offices were self-employed.

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7-6 Percents, Decimals, and Fractions Check It Out: Example 3 One year, of people who bought new cars bought cars that were yellow. What percent of people that bought new cars bought yellow cars? Write an equivalent fraction with a denominator of 100. 3 2 50 2 ______ = 6 100 ___ 6 100 ___ = 6% 3 50 __ 3 50 __ 6% of people with new cars bought yellow cars.

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7-6 Percents, Decimals, and Fractions The number line below shows common equivalent fractions, decimals, and percents.

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