1. 7-4 Percents Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. 7-4 Percents Warm Up Write each fraction as a decimal. 1. 2. Write each decimal as a fraction. 3. 0.3754. 0.05 0.75 0.9 3 4 __ 9 10 __ 3 8 1 20 __

3. 7-4 Percents Problem of the Day Wally wanted to change the scale of a drawing from 1 in. = 2 ft to 1 in. = 10 ft. The scale height of a building in the first drawing is 25 in. How high is the building in the new drawing? 5 in.

4. 7-4 Percents MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. Sunshine State Standards

5. 7-4 Percents Vocabulary percent

6. 7-4 Percents Most states charge sales tax on items you purchase. Sales tax is a percent of the item’s price. A percent is a ratio of a number to 100. You can remember that percent means “per hundred.” For example, 8% means “8 per hundred,” or “8 out of 100.”

7. 7-4 Percents If a sales tax rate is 8%, the following statements are true: For every $1.00 you spend, you pay $0.08 in sales tax. For every $10.00 you spend, you pay $0.80 in sales tax. For every $100 you spend, you pay $8 in sales tax. Because percent means “per hundred,” 100% means “100 out of 100.” This is why 100% is often used to mean “all” or “the whole thing.”

8. 7-4 Percents Additional Example 1: Modeling Percent Use a 10-by-10-square grid to model 17%. A 10-by-10 square grid has 100 squares. 17% means “17 out of 100” or. Shade 17 squares out of 100 squares. 17 100 ___

9. 7-4 Percents Check It Out: Example 1A Use a 10-by-10-square grid to model each percent. 26%

10. 7-4 Percents Check It Out: Example 1B Use a 10-by-10-square grid to model each percent. 53%

11. 7-4 Percents Check It Out: Example 1C Use a 10-by-10-square grid to model each percent. 14%

12. Converting Percents to Fractions Step 1 Write the percent in the numerator without the ‘%‘. Step 2 Write 100 in the denominator. Step 3 Simplify.

13. 7-4 Percents Additional Example 2: Writing Percents as Fractions Write 35% as a fraction in simplest form. Write the percent as a fraction with a denominator of 100. Write the fraction in simplest form. 35% = 35 100 ___ 35 ÷ 5 100 ÷ 5 _______ = 7 20 __ Written as a fraction, 35% is. 7 20 __

14. 7-4 Percents Check It Out: Example 2A Write each percent as a fraction in simplest form. 65% 65 100 ___ = 13 20 __

15. 7-4 Percents Check It Out: Example 2B Write each percent as a fraction in simplest form. 20% 20 100 ___ = 1 5 __

16. 7-4 Percents Check It Out: Example 2C Write each percent as a fraction in simplest form. 76% 76 100 ___ = 19 25 __

17. 7-4 Percents Additional Example 3: Life Science Application Janell has 20% body fat. Write 20% as a fraction in simplest form. Write the percent as a fraction with a denominator of 100. Write the fraction in simplest form. 20% = 20 100 ___ 20 ÷ 20 100 ÷ 20 _______ = 1 5 __ Written as a fraction, 20% is. 1 5 __

18. 7-4 Percents Check It Out: Example 3 Timmy is a football player with 10% body fat. Write 10% as a fraction in simplest form. 10 100 ___ 1 10 __ =

19. 7-4 Percents Additional Example 4: Writing Percents as Decimals Write 56% as a decimal. Write the percent as a fraction with a denominator of 100. Write the fraction as a decimal. 56% = 56 100 ___ Written as a decimal, 56% is 0.56. 100 56.00 0.56 –500 600 –600 0 To divide by 100, move the decimal point two places to the left. 56 ÷ 100 = 0.56 Remember!

20. 7-4 Percents Check It Out: Example 4A Write each percent as a decimal. 32% 32 100 ___ 0.32 =

21. 7-4 Percents Check It Out: Example 4B Write each percent as a decimal. 19% 19 100 ___ 0.19 =

22. 7-4 Percents Check It Out: Example 4C Write each percent as a decimal. 80% 80 100 ___ 0.8 = 8 10 ___ =

23. 7-4 Percents Additional Example 5: Application Water made up 85% of the fluids that Kirk drank yesterday. Write 85% as a decimal. Write the percent as a fraction with a denominator of 100. Write the fraction as a decimal. 85% = 85 100 ___ 85 ÷ 100 = 0.85 Written as a decimal, 85% is 0.85.

24. 7-4 Percents Check It Out: Example 5 Water made up 95% of the fluids that Lisa drank yesterday. Write 95% as a decimal. = 95 100 ___ 0.95

25. Percents Group Problems Solve the following problems and check your answers with the fellow members of your group. In a survey, 100 dog owners were asked where their dogs sleep. The results are shown as percents. What percent of the people responded “Other”? 42% + 30% + 18% = 90% 100% – 90% = 10% What percent of the people did not respond “Dog Bed”? 100% - 18% = 82% Where dogs sleepPercent Owner’s bed42% Doghouse30% Dog bed18% Other?