150 likes | 233 Views
Now you try!. Write the fraction as a percent. 1. 11/20. 2. 4/25. 3. 5/100. 55%. 16%. 5%. P E R C E N T S. by: Miss Perri. Real World Applications. Shopping Discounts “The entire store is 25% off”. Demographics “At JTL, 36% of the students are in the 8 th grade.”. Restaurant Tips
E N D
Now you try! Write the fraction as a percent. 1. 11/20 2. 4/25 3. 5/100 55% 16% 5%
PERCENTS by: Miss Perri
Real World Applications Shopping Discounts “The entire store is 25% off” Demographics “At JTL, 36% of the students are in the 8th grade.” Restaurant Tips “While dining out 15%-20% is the social norm for gratuity” Sales Tax “In PA there is a 6% sales tax.” Test Grades “Charlie received a 85% on his last Math test” Nutrition Facts “If you eat a snickers bar you will consume 25% of your allotted daily intake for fats” All sports “Derek Jeter’s career batting average is .312 or 31.2%” All Statistics “Over 25% of teens have been bullied repeatedly through text messages and the internet.”
PERCENT • is a ratio whose denominator is 100. Percent comes from the Latin per centum, or “per hundred” 25% is 25 “per hundred” or the fraction 25/100 The symbol for percent is %
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
Fractions Percents p. 100 p% simplify Write 29% and 45% as fractions in simplest form. 29% =29 . 100 45% = 45=9 . 100 20 ÷5 ÷5
Now you try! Write the percent as a fraction in simplest form 1. 51% 2. 25% 3. 80% 51 . 100 1 4 4 5
Percent Fraction 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. 70 100 ×10 7 . 10 70% = = ×10 60 100 ×20 3 . 5 60% = = ×20
Writing Probability as a 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. • Find Probability and put into fraction form • Convert from fraction to 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%.
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 % 5/10 = 50 %
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. 40/100 6 pounds 40% 2/5(15) 2/5
Now you try! Find the percent of a number. 1. 25% of 36 2. 70% of 70 9 49
SUMMARY A percent is a ratio whose number is over ______ ? 100 Explain how you would re-write 13/25 as a percent. You would multiply the numerator and denominator both by 4.Then you would get 52/100. 52% would be your answer.
Name: __________________________ Date: _________________ Directions: Please complete each section and circle your final answer. Show your work Finding the percent of a number. Round to nearest tenth. Writing Probability as a Percent. Percents to Fractions Fractions to Percents 36% 3% 90% 50% 1/5 2/5 4/100 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 #) 60% of 12 15% of 100 30% of 300 50% of 400