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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. 9. __. 3. __. 10. 4. 3. 1. __. __. 8. 20. Warm Up Write each fraction as a decimal. 1. 2. Write each decimal as a fraction. 3. 0.375 4. 0.05. 0.9. 0.75. Problem of the Day

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. 9 __ 3 __ 10 4 3 1 __ __ 8 20 Warm Up Write each fraction as a decimal. 1.2. Write each decimal as a fraction. 3. 0.375 4. 0.05 0.9 0.75

  3. 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. Learn to write percents as decimals and as fractions.

  5. Vocabulary percent

  6. 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. 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. 17 ___ 100 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.

  9. 26 ___ 100 Check It Out: Example 1 Use a 10-by-10-square grid to model 26%. A 10-by-10 square grid has 100 squares. 26% means “26 out of 100” or . Shade 26 squares out of 100 squares.

  10. 35 ___ 100 35 ÷ 5 7 _______ __ 100 ÷ 5 20 7 __ 20 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. 35% = = Write the fraction in simplest form. Written as a fraction, 35% is .

  11. 65 ___ 100 65 ÷ 5 13 _______ __ 100 ÷ 5 20 13 __ 20 Check It Out: Example 2 Write 65% as a fraction in simplest form. Write the percent as a fraction with a denominator of 100. 65% = = Write the fraction in simplest form. Written as a fraction, 65% is .

  12. 20 ___ 100 20 ÷ 20 1 _______ __ 100 ÷ 20 5 1 __ 5 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. 20% = = Write the fraction in simplest form. Written as a fraction, 20% is .

  13. 14 ___ 100 14 ÷ 2 7 _______ __ 100 ÷ 2 50 7 __ 50 Check It Out: Example 3 Timmy has 14% body fat. Write 14% as a fraction in simplest form . Write the percent as a fraction with a denominator of 100. 14% = = Write the fraction in simplest form. Written as a fraction, 14% is .

  14. 56 ___ 100 0.56 100 56.00 –500 600 –600 0 Remember! To divide by 100, move the decimal point two places to the left. 56 ÷ 100 = 0.56 Additional Example 4: Writing Percents as Decimals Write 56% as a decimal. Write the percent as a fraction with a denominator of 100. 56% = Write the fraction as a decimal. Written as a decimal, 56% is 0.56.

  15. 32 ___ 100 0.32 100 32.00 –300 200 –200 0 Check It Out: Example 4 Write 32% as a decimal. Write the percent as a fraction with a denominator of 100. 32% = Write the fraction as a decimal. Written as a decimal, 32% is 0.32.

  16. 85 ___ 100 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. 85% = 85 ÷ 100 = 0.85 Write the fraction as a decimal. Written as a decimal, 85% is 0.85.

  17. 95 ___ 100 Check It Out: Example 5 Water made up 95% of the fluids that Lisa drank yesterday. Write 95% as a decimal. Write the percent as a fraction with a denominator of 100. 95% = 95 ÷ 100 = 0.95 Write the fraction as a decimal. Written as a decimal, 95% is 0.95.

  18. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  19. 29 13 ___ __ 100 25 2 __ 25 Lesson Quiz Write each percent as a fraction in simplest form. 1. 52% 2. 29% Write each percent as a decimal. 3. 17% 4. 86% 5. A store clerk has an 8% sales increase. Write the increase as a fraction in simplest form and as a decimal. 0.17 0.86 , 0.08

  20. Lesson Quiz for Student Response Systems 1. Which of the following represents 15% as a fraction in simplest form? A. B. C. D.

  21. Lesson Quiz for Student Response Systems 2. Which of the following represents 79% as a fraction in simplest form? A. B. C. D.

  22. Lesson Quiz for Student Response Systems 3. Which of the following represents 26% as a decimal? A. 2.6B. 0.026 C. 0.26D. 0.0026

  23. Lesson Quiz for Student Response Systems 4. Which of the following represents 71% as a decimal? A. 71 B. 0.71 C. 7.1D. 0.071

  24. Lesson Quiz for Student Response Systems 5. 82% of Brett’s DVD collection are action movies. Which of the following represents 82% as a fraction in simplest form and as a decimal? A. B. C. D.

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