1. Course 1 8-7 Percents 6 th Grade Math HOMEWORK Page 420 #1-28 ANSWERS!

2. Course 1 8-8 Percents, Decimals, and Fractions 6 th Grade Math HOMEWORK Page 424 #1-26

3. Our Learning Goal for Chapter 8 Students will understand ratios, proportions, and percents by being able to write ratios, find unit rates, solve proportions, identify similar figures, find unknown measures, make scale drawings, understand relationships, and solve problems including those involving discounts, tips, sales tax, and simple interest.

4. Our Learning Goal Assignments Learn to write ratios and rates and to find unit rates (8-1) Learn to write and solve proportions (8-2) Learn to use proportions to make conversions within the customary system (8-3) Learn to use ratios to identify similar figures (8-4) Learn to use proportions and similar figures to find unknown measures (8-5) Learn to read and use map scale and scale drawings (8-6) Learn to write percents as decimals and as fractions (8-7) Learn to write decimals and fractions as percents (8-8) Learn to find the missing value in a percent problem (8-9) Learn to solve percent problems that involve discounts, tips, and sales tax (8-10)

5. 8-8 Percents, Decimals, and Fractions Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

6. 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 ___

7. 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

8. Today’s Learning Goal Assignment Learn to write decimals and fractions as percents. Course 1 8-8 Percents, Decimals, and Fractions

9. 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.

10. 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.

11. 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.

12. 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

13. 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.

14. 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.

15. 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.

16. 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.

17. 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

18. 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.

19. 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 __

20. 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.

21. 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.

22. 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.

23. 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.

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

25. 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%