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Learn to write percents as decimals and as fractions .

Learn to write percents as decimals and as fractions. Vocabulary. percent. 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.

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Learn to write percents as decimals and as fractions .

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

  2. Vocabulary percent

  3. 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.”

  4. 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.”

  5. 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.

  6. 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.

  7. 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 .

  8. 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 .

  9. 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 .

  10. 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 .

  11. 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.

  12. 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.

  13. 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.

  14. 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.

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