Learn to write decimals and fractions as percents .

1. Learn to write decimals and fractions as percents.

2. 7 __ 10 7 • 10 70 _______ ___ 10 • 10 100 70 ___ 100 Additional Example 1A: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. 0.7 0.7 = Write the decimal as a fraction. Write an equivalent fraction with 100 as the denominator. = Write the numerator with a percent symbol. = 70%

3. 16 __ 100 16 ___ 100 Additional Example 1B: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. 0.16 0.16 = Write the decimal as a fraction. Write the numerator with a percent symbol. = 16%

4. Additional Example 1C: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by 100. 0.4118 0.4118 • 100 Multiply by 100. 41.18% Add the percent symbol.

5. Additional Example 1D: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by 100. 0.067 0.067 • 100 Multiply by 100. 6.7% Add the percent symbol.

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

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

8. Check It Out: Example 1C Write the decimal as a percent. Method 2: Multiply by 100. 0.1225 0.1225 • 100 Multiply by 100. 12.25% Add the percent symbol.

9. Check It Out: Example 1D Write the decimal as a percent. Method 2: Multiply by 100. 0.023 0.023 • 100 Multiply by 100. 2.3% Add the percent symbol.

10. Helpful Hint 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.

11. 9 __ 25 9 • 4 36 ______ ___ 25 • 4 100 36 ___ 100 Additional Example 2A: Writing Fractions as Percents 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. = Write the numerator with a percent symbol. = 36%

12. 3 __ 20 0.15 20 3.00 –20 100 –100 0 Additional Example 2B: Writing Fractions as Percents Method 2: Use division to write the fraction as a decimal. Divide the numerator by the denominator. Multiply by 100 by moving the decimal point right two places. Add the percent symbol. 0.15 = 15%

13. 7 __ 50 7 • 2 14 ______ ___ 50 • 2 100 14 ___ 100 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. = Write the numerator with a percent symbol. = 14%

14. 8 __ 50 0.16 50 8.00 Check It Out: Example 2B Method 2: Use division to write the fraction as a decimal. Divide the numerator by the denominator. Multiply by 100 by moving the decimal point right by two places. Add the percent symbol. 0.16 = 16%

15. 7 __ 25 7 __ 25 7 • 4 28 ______ ___ 25 • 4 100 28 ___ 100 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. = = 28% 28% of people with home offices were self-employed.

16. 3 __ 50 3 __ 50 3 • 2 6 ______ ___ 50 • 2 100 6 ___ 100 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. = = 6% 6% of people with new cars bought yellow cars.

17. The number line below shows common equivalent fractions, decimals, and percents.