1. 8-8 Percents, Decimals, and Fractions Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

2. Warm Up Write each percent as a fraction in simplest form. 1. 37%2. 78% Write each percent as a decimal. 3. 59%4. 7% 0.59 0.07 Course 1 8-8 Percents, Decimals, and Fractions 37 100 ___ 39 50 ___

3. Problem of the Day Jennifer gave Karen 50% of her comic books. Karen gave Jack 50% of the books she got from Jennifer. Jack gave Lucas 50% of the books he got from Karen. Lucas got 4 comic books. What percent of Jennifer’s comic books does Lucas have? 12.5% Course 1 8-8 Percents, Decimals, and Fractions

4. Learn to write decimals and fractions as percents. Course 1 8-8 Percents, Decimals, and Fractions

5. Course 1 8-8 Percents, Decimals, and Fractions Additional Example 1A: Writing Decimals as Percents Write each 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.

6. Course 1 8-8 Percents, Decimals, and Fractions Additional Example 1B: Writing Decimals as Percents Write each decimal as a percent. Method 1: Use place value. B. 0.16 Write the decimal as a fraction.0.16 = 16 100 __ 16 100 ___ = 16% Write the numerator with a percent symbol.

7. Course 1 8-8 Percents, Decimals, and Fractions Additional Example 1C: Writing Decimals as Percents Write each decimal as a percent. Method 2: Multiply by 100. C. 0.4118 Multiply by 100.0.4118 100 41.18%Add the percent symbol.

8. Course 1 8-8 Percents, Decimals, and Fractions Additional Example 1D: Writing Decimals as Percents Write each decimal as a percent. Method 2: Multiply by 100. D. 0.067 Multiply by 100.0.067 100 6.7%Add the percent symbol.

9. Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 1A Write each 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.

10. Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 1B Write each decimal as a percent. Method 1: Use place value. B. 0.31 Write the decimal as a fraction.0.31 = 31 100 ___ = 31% Write the numerator with a percent symbol. 31 100

11. Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 1C Write each decimal as a percent. Method 2: Multiply by 100. C. 0.1225 Multiply by 100.0.1225 100 12.25%Add the percent symbol.

12. Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 1D Write each decimal as a percent. Method 2: Multiply by 100. D. 0.023 Multiply by 100.0.023 100 2.3%Add the percent symbol.

13. Course 1 8-8 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

14. Course 1 8-8 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 each fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. A.

15. Course 1 8-8 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. B.

16. Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 2A Write each fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. A. 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 __

17. Course 1 8-8 Percents, Decimals, and Fractions Try This: 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. B.

18. Course 1 8-8 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.

19. Course 1 8-8 Percents, Decimals, and Fractions Try This: 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.

20. Course 1 8-8 Percents, Decimals, and Fractions

21. 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% Insert Lesson Title Here 20% 56.25% Course 1 8-8 Percents, Decimals, and Fractions 1 5 __ 9 16 __ 1 16 __ 6.25%