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# Percent Of Change

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### Percent Of Change

1. 1. Pre-Algebra Quiz <ul><li>1. What is one word for a fraction (only ONE word)? </li></ul><ul><li>Calculate 28% of 33. </li></ul><ul><li>You took a test by Mr. Shortess and got 18 questions out of 38 correct. What was your score on the test (as a percentage)? </li></ul>
2. 2. Percent… (continued)
3. 3. A more condensed way to understand percent conversion <ul><li>Percent to Decimal: </li></ul><ul><li>percentage > divide > decimal </li></ul><ul><li>37 % > 37 / 100 > .37 </li></ul><ul><li>Decimal to Percent: </li></ul><ul><li>decimal > multiply > percent </li></ul><ul><li>.37 > .37 x 100 > 37% </li></ul>
4. 4. Percent of Change <ul><li>A percent that indicates how much a quantity increases or decreases with respect to the original amount. </li></ul><ul><li>Percent of change: </li></ul><ul><li>p% = (Amount of increase or decrease) </li></ul><ul><li>(Original amount) </li></ul>
5. 5. Example of Percent Increase/Decrease <ul><li>Original: \$37 </li></ul><ul><li>New: \$70 </li></ul><ul><li>Percent increase or decrease? </li></ul><ul><li>(\$70 - \$37) = \$33 = .89189 = 89.2 % incr. </li></ul><ul><li>\$37 \$37 </li></ul>
6. 6. Example of Percent Increase/Decrease <ul><li>Original: \$70 </li></ul><ul><li>New: \$42 </li></ul><ul><li>Percent increase or decrease? </li></ul><ul><li>(\$70 - \$42) = \$28 = .4 = 40 % decrease </li></ul><ul><li>\$70 \$70 </li></ul>
7. 7. Now you try: <ul><li>Person 1 : Determine whether the problem is a percent increase or decrease problem. </li></ul><ul><li>Original: 65 </li></ul><ul><li>New: 117 </li></ul><ul><li>Person 2 : Find the percent increase or decrease. </li></ul><ul><li>Person 3 : Grade the previous partners’ work. </li></ul>
8. 8. Now you try: <ul><li>Person 2 : Determine whether the problem is a percent increase or decrease problem. </li></ul><ul><li>Original: 87 </li></ul><ul><li>New: 19 </li></ul><ul><li>Person 3 : Find the percent increase or decrease. </li></ul><ul><li>Person 1 : Grade the previous partners’ work. </li></ul>
9. 9. Now you try: <ul><li>Person 3 : Determine whether the problem is a percent increase or decrease problem. </li></ul><ul><li>Original: 100 </li></ul><ul><li>New: 37.5 </li></ul><ul><li>Person 1 : Find the percent increase or decrease. </li></ul><ul><li>Person 2 : Grade the previous partners’ work. </li></ul>
10. 10. Summary <ul><li>Percent increase / decrease tells us exactly that…how much an amount either increased or decreased compared to the ORIGINAL amount. </li></ul><ul><li>If the original amount > new amount : percent DECREASE. </li></ul><ul><li>If the original amount < new amount: percent INCREASE. </li></ul>
11. 11. HOMEWORK!  <ul><li>Page 355 </li></ul><ul><ul><li>7, 8, 9, 10, 13, 16, 20, 21 </li></ul></ul>