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

7-4 Percents Warm Up Write each fraction as a decimal Write each decimal as a fraction __ 9 10 __ __

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.

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

7-4 Percents Vocabulary percent

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.”

7-4 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.”

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 ___

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

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

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

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 ÷ ÷ 5 _______ = 7 20 __ Written as a fraction, 35% is __

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

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

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

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 ÷ ÷ 20 _______ = 1 5 __ Written as a fraction, 20% is. 1 5 __

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 ___ 1 10 __ =

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% = ___ Written as a decimal, 56% is – –600 0 To divide by 100, move the decimal point two places to the left. 56 ÷ 100 = 0.56 Remember!

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

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

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

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 = 0.85 Written as a decimal, 85% is 0.85.

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

7-4 Percents Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

7-4 Percents Lesson Quiz Write each percent as a fraction in simplest form % 2. 29% Write each percent as a decimal %4. 86% 5. A store clerk has an 8% sales increase. Write the increase as a fraction in simplest form and as a decimal., __ ___ __

7-4 Percents 1. Which of the following represents 15% as a fraction in simplest form? A. B. C. D. Lesson Quiz for Student Response Systems

7-4 Percents 2. Which of the following represents 79% as a fraction in simplest form? A. B. C. D. Lesson Quiz for Student Response Systems

7-4 Percents 3. Which of the following represents 26% as a decimal? A. 2.6 B C D Lesson Quiz for Student Response Systems

7-4 Percents 4. Which of the following represents 71% as a decimal? A. 71 B C. 7.1 D Lesson Quiz for Student Response Systems

7-4 Percents 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. Lesson Quiz for Student Response Systems