Lesson 7 __attachment_a

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Lesson 7 __attachment_a

  1. 1. Percents % % % % % % % % % % % % % %
  2. 2. What is a percent? <ul><li>A percent is a ratio…how many times out of a hundered </li></ul>45 % = 45 100 45 percent means 45 out of 100 possible times!
  3. 3. <ul><li>This means that all percentages can be written as a fraction by simply placing them over 100. </li></ul>
  4. 4. Write these percents as fractions <ul><li>30 % </li></ul><ul><li>40 % </li></ul><ul><li>12 % </li></ul><ul><li>99 % </li></ul><ul><li>101 % </li></ul><ul><li>3/10 </li></ul><ul><li>2/5 </li></ul><ul><li>3/25 </li></ul><ul><li>99/100 </li></ul><ul><li>1 1/100 </li></ul>
  5. 5. Dude… That was cool
  6. 6. How can you turn a percent into a fraction? What are the most steps that could be involved?
  7. 7. <ul><li>If I can write any percent as a fraction over a hundred, then how can I write any percent as a decimal? </li></ul>
  8. 8. That’s Right <ul><li>Since I can put all percents over a hundred then all I need to do is write the equivalent decimal. (Remember they sound the same.) </li></ul>20 % = 20 100 = 0.20
  9. 9. You try…Percent to Decimal <ul><li>12 % </li></ul><ul><li>8 % </li></ul><ul><li>75 % </li></ul><ul><li>48 % </li></ul><ul><li>120 % </li></ul><ul><li>0.12 </li></ul><ul><li>0.08 </li></ul><ul><li>0.75 </li></ul><ul><li>0.48 </li></ul><ul><li>1.20 </li></ul>
  10. 10. How can you turn a percent into a decimal?
  11. 11. <ul><li>How are percents related to decimals and fractions? </li></ul><ul><li>And if they all represent the same amounts then we can turn any fraction, decimal, or percent into the other. </li></ul>
  12. 12. <ul><li>If you were given a fraction, then set up a proportionality. You know the fraction, and you know that all percents are over 100. The fraction and the percent must be equivalent. </li></ul>5 40 = P 100 40 · P = 5 · 100 40P = 500 500 40 = 12.5 %
  13. 13. Your turn… <ul><li>4/100 </li></ul><ul><li>2/5 </li></ul><ul><li>3/4 </li></ul><ul><li>2/3 </li></ul><ul><li>2 1/2 </li></ul><ul><li>4 % </li></ul><ul><li>40 % </li></ul><ul><li>75 % </li></ul><ul><li>66.6 % </li></ul><ul><li>250 % </li></ul>
  14. 14. How can you turn a fraction into a percent? What are the most steps that could be involved?
  15. 15. For Decimals <ul><li>Rewrite your decimal as a fraction. </li></ul><ul><li>Remember they sound exactly the same. </li></ul><ul><li>If your denominator is 100, then write your percent. </li></ul><ul><li>If not, then make your proportion and solve. </li></ul>
  16. 16. 0.43 = 100 43 0.3 = 3 10 = P 100 10P = 300 300 10 P = 30 % = 43 %
  17. 17. Your turn… <ul><li>0.24 </li></ul><ul><li>0.05 </li></ul><ul><li>0.14 </li></ul><ul><li>0.7 </li></ul><ul><li>1.48 </li></ul><ul><li>24 % </li></ul><ul><li>5 % </li></ul><ul><li>14 % </li></ul><ul><li>70 % </li></ul><ul><li>148 % </li></ul>
  18. 18. Dude… That was Awesome
  19. 19. How can you turn a decimal into a percent? What are the most steps that could be involved?

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