1. 7-6 Percents, Decimals, and Fractions I CAN write a decimal as a percent. I CAN write a fraction as a percent.

2. 7-6 Percents, Decimals, and Fractions Example 1: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. A. 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.

3. 7-6 Percents, Decimals, and Fractions Example 1: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by 100. B. 0.4118 Multiply by 100.0.4118 100 41.18%Add the percent symbol.

4. 7-6 Percents, Decimals, and Fractions You Try! Example 1 Write the decimal as a percent. Method 1: Use place value. A. 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.

5. 7-6 Percents, Decimals, and Fractions You Try! Example 1 Write the decimal as a percent. Method 2: Multiply by 100. B. 0.1225 Multiply by 100.0.1225 100 12.25%Add the percent symbol.

6. 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

7. 7-6 Percents, Decimals, and Fractions Example 2: 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. A. Method 1: Write an equivalent fraction with a denominator of 100.

8. 7-6 Percents, Decimals, and Fractions Example 2: 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 B. Method 2: Use division to write the fraction as a decimal.

9. 7-6 Percents, Decimals, and Fractions You Try! Example 2 Write the fraction as a percent. A. 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 __

10. 7-6 Percents, Decimals, and Fractions You Try! Example 2 Divide the numerator by the denominator. 0.875 = 87.5% Multiply by 100 by moving the decimal point right by two places. Add the percent symbol. 7 8 __ 8 7.000 0.875 B. Method 2: Use division to write the fraction as a decimal.

11. 7-6 Percents, Decimals, and Fractions 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.

12. 7-6 Percents, Decimals, and Fractions You Try! 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.

13. 7-6 Percents, Decimals, and Fractions The number line below shows common equivalent fractions, decimals, and percents.

14. 7-6 Percents, Decimals, and Fractions CAN YOU write a decimal as a percent? CAN YOU write a fraction as a percent?

15. 7-6 Percents, Decimals, and Fractions Lesson Quiz Write each decimal as a percent. 1. 0.262. 0.419 Write each fraction as a percent. 3. 4. 5. About of all the students at a local high school own their own car. What percent is this? 41.9% 26% 20% 56.25% 1 5 __ 9 16 __ 1 16 __ 6.25%

16. 7-6 Percents, Decimals, and Fractions HOMEWORK pp. 315-316: 1-13 odd, 14-26 even, 56-61