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Chapter 6

Chapter 6. Applications of Percent. Fractions, Decimals, & Percents. A percent is a ratio that compares a number to 100 To change a decimal to a percent, multiply by 100 or move the decimal two places to the right

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Chapter 6

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  1. Chapter 6 Applications of Percent

  2. Fractions, Decimals, & Percents A percent is a ratio that compares a number to 100 To change a decimal to a percent, multiply by 100 or move the decimal two places to the right To change a percent to a decimal, divide by 100 or move the decimal two places to the left To write a percent as a fraction, put it over 100 then simplify To order from least to greatest, they must all look the same!

  3. Example(s) Write each fraction as a percent. 1.) 2.) 3.) Write each decimal as a percent. 4.) 5.) 6.) Write each percent as a fraction. 7.) 8.) 9.)

  4. Percents & Proportions is= % of 100 Finding the Part Finding the Whole Finding the Percent What number is 20%of 25? 5 is 20% of what number ? 5 is what percent of 25? n = 205 = 205 = p 25 100 w 100 25 100

  5. Percents & Equations = means is “of” means to multiply Finding the Part Finding the Whole Finding the Percent Part = p · wholePart = p · wholePart = p · whole What is 20% of 25? 5 is 20% of what? 5 is what percent of 25? n = 0.20 · 255 = 0.20 · w5 = p · 25

  6. Percent of Change • The percent a quantity increases or decreases from its original amount is the percent of change • Percent of change = amount of change original amount

  7. Example(s): • 1.) The average price of a movie ticket in the United States in 1990 was $4.22. Ten years later, the average price was $5.39 In that ten-year period, average movie ticket prices increased by $1.17. Find the percent of change. • P = amount of changeP = 1.17 = 0.28 = 28% original amount 4.22 • *Movie tickets prices increased about 28% from 1990 to 2000.

  8. Example(s): Find the percent of increase. 1.) 75 to 110 2.) 50 to 90 Find the percent of decrease. 3.) 190 to 183 4.) 368 to 275

  9. Markup and Discount • markup is the amount of increase in price • markup is added to the store’s cost of the item to arrive at the selling price • Percent of change = amount of change original amount ↓ ↓ • Percent of markup = markup store’s cost

  10. Example(s): • 1.) Find the percent of markup on a sweater that costs a store $25 and has a selling price of $45. • markup = selling price – store’s cost = $45 – $25 = $20 • Percent of markup = 20 = 0.8 = 80% 25

  11. Example(s): 1.) Find the percent of markup. Store’s cost: $26 Selling price: $39

  12. Finding percent of Discount • The amount by which the price of an item on sale is reduced is called the discount • The regular price of an item minus the discount equals the sale price of the item • Percent of change = amount of change original amount ↓ ↓ • Percent of discount = discount regular price

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