1. Now you try! Write the fraction as a percent. 1. 11/202. 4/253. 5/100 55%16%5%

2. PERCENTSPERCENTS by: Miss Perri

3. Real World Applications Shopping Discounts “The entire store is 25% off” Restaurant Tips “While dining out 15%-20% is the social norm for gratuity” Demographics “At JTL, 36% of the students are in the 8 th grade.” Sales Tax “In PA there is a 6% sales tax.” All sports “ Derek Jeter’s career batting average is.312 or 31.2%” Test Grades “Charlie received a 85% on his last Math test” All Statistics “Over 25% of teens have been bullied repeatedly through text messages and the internet.” Nutrition Facts “If you eat a snickers bar you will consume 25% of your allotted daily intake for fats”

4. PERCENT Percent comes from the Latin per centum, or “per hundred” is a ratio whose denominator is 100. 25% is 25 “per hundred” or the fraction 25/100 The symbol for percent is %

5. This is one whole square. One Whole Square Divide the square into 100 even pieces. So 100% of the square is shaded orange. So 100% and 1 Whole are the same thing. Everyone of the 100 pieces is shaded

6. Percents Write 29% and 45% as fractions in simplest form. p% Fractions   p. 100  simplify 29% = 29. 100 45% = 45 = 9. 100 20 ÷5

7. Now you try! Write the percent as a fraction in simplest form 1. 51%2. 25%3. 80% 51. 100 1414 4545

8. Fraction Percent  Multiply numerator and denominator by the same factor to make the denominator 100. When in form p/100, then p is the percent. Write 7/10 and 3/5 as a percent. 7. 10 ×10 70 100 70% = = 3. 5 ×20 60 100 60% = =

9. Writing Probability as a Percent 1.Find Probability and put into fraction form 2.Convert from fraction to percent Prize: A radio station randomly selects 1 of 5 finalists for a prize. You are one of the finalists. What is the probability that you will win? Write your answer as a percent. Solution: There are 5 possible outcomes, and 1 is favorable. P(you win) =1/5 (write probability as a fraction) = 20% (write fraction as a percent) Answer: The probability that you will win is 20%.

10. Now you try! A computer randomly generates an integer from 1 to 10. Find the probability of the given event. Write your answer as a percent. 1. P(5)2. P(odd #)3. P(prime #) 1/10 = 10 % 5/10 = 50 %

11. Finding the percent of a number 1. Take percentage and convert to fraction 2. Put fraction in simplest form 3. Multiply fraction by Number Tortoises: A desert tortoise can go a year or more without drinking water. When it does drink, its body weight can increase by 40%. Suppose a desert tortoise weighs 15 pounds after a long period without water. How many pounds can the tortoise gain when it drinks. 40% 40/100 2/5 2 / 5 (15) 6 pounds    

12. Now you try! Find the percent of a number. 1. 25% of 362. 70% of 70 949

13. SUMMARY A percent is a ratio whose number is over ______ ? Explain how you would re-write 13/25 as a percent. 100 You would multiply the numerator and denominator both by 4.Then you would get 52/100. 52% would be your answer.

15. Name: __________________________Date: _________________ Percents to Fractions Fractions to Percents Writing Probability as a Percent. Finding the percent of a number. Round to nearest tenth. Directions: Please complete each section and circle your final answer. Show your work 1.36% 2.3% 3.90% 1.50% 1.1/5 2.2/5 3.4/100 1.8/25 A computer randomly generates and integer from 1-5 1. P(4) 2. P(odd) 3. P(a number divisible by 2) 4. P(prime #) 1.60% of 12 1.15% of 100 2.30% of 300 1.50% of 400