1. 5 Minute Check Find the following. 1. What is.15 written as a percent? 2. What is 0.399 written as a percent? 3. What is 7 written as a percent? 4. What is 575% written as a mixed number? 5. What is 22.5% written as a fraction in simplest form? 6. What is 6 written as a decimal?

2. 5 Minute Check Find the following. 1. What is.15 written as a percent?

3. 5 Minute Check Find the following. 1. What is.15 written as a percent?.15 x 100 = 15%, or 15 100 = 15%

4. 5 Minute Check Find the following. 2. What is 0.399 written as a percent?

5. 5 Minute Check Find the following. 2. What is 0.399 written as a percent?.399 x 100 = 39.9%

6. 5 Minute Check Find the following. 3. What is 7 written as a percent?

7. 5 Minute Check Find the following. 3. What is 7 written as a percent? 1 36 72 7 5 = 5 = 10 = 7.2 x 100 = 720% 1 2 7 5 = 7 10 = 7.2 x 100 = 720%

8. 5 Minute Check Find the following. 4. What is 575% written as a mixed number?

9. 5 Minute Check Find the following. 4. What is 575% written as a mixed number? 75 3 575% ÷ 100 = 5.75 = 5 100 = 5 4

10. 5 Minute Check Find the following. 5. What is 22.5% written as a fraction in simplest form?

11. 5 Minute Check Find the following. 5. What is 22.5% written as a fraction in simplest form? 225 9 22.5% ÷ 100 =.225 = 1000 = 40

12. 5 Minute Check Find the following. 6. What is 6 written as a decimal?

13. 5 Minute Check Find the following. 6. What is 6 written as a decimal? 1 25 6 4 = 6 100 = 6.25

14. Monday, Sept 15 Lesson 6.2.7 Percent of a Number

15. Objective: To find the percent of a number.

16. Percent of a Number The method to find a percent of a number uses a proportion. A proportion is when two fractions are equivalent. 3 75 4 = 100

17. Percent of a Number Find 40% of 80. To Solve Percent Problems Step 1 – Set up the proportion, with the “parts” on top and the “wholes” on the bottom.

18. Percent of a Number Find 40% of 80. parts 40 ? 100 = 80 wholes To Solve Percent Problems Step 1 – Set up the proportion, with the “parts” on top and the “wholes” on the bottom.

19. Percent of a Number Find 40% of 80. To Solve Percent Problems Step 2 – Simplify, if possible. 40 ? 100 = 80

20. Percent of a Number Find 40% of 80. To Solve Percent Problems Step 2 – Simplify, if possible. 40 ? 100 = 80 2 ? 5 = 80

21. Percent of a Number Find 40% of 80. To Solve Percent Problems Step 3 – Cross multiply and divide. 2 ? 5 = 80

22. Percent of a Number Find 40% of 80. To Solve Percent Problems Step 3 – Cross multiply and divide. 2 ? 5 = 80 2 x 80 = 160 ÷ 5 = 32

23. Percent of a Number Find 40% of 80. But, before you use this method try and find a “multiplier” or “divider”. 2 ? 5 = 80 x?

24. Percent of a Number Find 40% of 80. But, before you use this method try and find a “multiplier” or “divider”. 2 ? 5 = 80 x16

25. Percent of a Number Find 40% of 80. But, before you use this method try and find a “multiplier” or “divider”. x16 2 ? 5 = 80 x16

26. Percent of a Number Find 40% of 80. But, before you use this method try and find a “multiplier” or “divider”. x16 2 32 5 = 80 x16

27. Percent of a Number Find 32% of 60. Step 1 - ?

28. Percent of a Number Find 32% of 60. Step 1 – Set up a proportion. 32 ? 100 = 60 Step 2 - ?

29. Percent of a Number Find 32% of 60. Step 2 – Simplify, if possible. 32 ? 100 = 60 8 ? 25 = 60 Step 3 - ?

30. Percent of a Number Find 32% of 60. Step 3 – Cross multiply and divide. 32 ? 100 = 60 8 ? 25 = 60 5 1 8 x 60 = 480 ÷ 25 = 19 25 = 19 5

31. Percent of a Number Find 32% of 60. Method 2 Convert the percent to a decimal and multiply.

32. Percent of a Number Find 32% of 60. Method 2 Convert the percent to a decimal and multiply. 32% = 0.32 x 60 =

33. Percent of a Number Find 32% of 60. Method 2 Convert the percent to a decimal and multiply. 32% = 0.32 x 60 = When multiplying decimals, multiply as normal ignoring the decimal points. 60 x.32 120 1800 1920

34. Percent of a Number Find 32% of 60. Method 2 Convert the percent to a decimal and multiply. 32% = 0.32 x 60 = Then put the decimal point in the answer - it will have as many decimal places as the two factors combined. 60 0 decimal place x.32 2 decimal places 120 1800 19.20 2 decimal place

35. Percent of a Number Reminder – when you convert the percent to a fraction you remove the percent sign. The answer will NOT have a percent sign.

36. Percent of a Number Find 60% of 90. (Do this on your own)

37. Percent of a Number Find 60% of 90. 90 x.6 54.0

38. Percent of a Number Find 60% of 90. 60 ? 100 = 90 3 ? 5 = 90 3 x 90 = 270 ÷ 5 = 54

39. Percent of a Number Find 275% of 4. (Do this on your own)

40. Percent of a Number Find 275% of 4. ÷ 25 275 11 100 = 4 ÷ 25

41. Percent of a Number Find 275% of 4. 275 ? 100 = 4 11 ? 4 = 4 11 x 4 = 44 ÷ 4 = 11

42. Percent of a Number Find 275% of 4. 2.75 x 4 11.00

43. Percent of a Number Find 75% of 260. (Do this on your own)

44. Percent of a Number Find 75% of 260. 260 x 75 1300 18200 195.00

45. Percent of a Number Find 75% of 260. 75 ? 100 = 260 3 ? 4 = 260 3 x 260 = 780 ÷ 4 = 195

46. Percent of a Number Find 145% of 320. (Do this on your own)

47. Percent of a Number Find 145% of 320. 145 ? 100 = 320 29 ? 20 = 320 29 x 320 = 9280 ÷ 20 = 464

48. Percent of a Number Find 15% of 110. (Do this on your own)

49. Percent of a Number Find 15% of 110. 15 ? 100 = 110 3 ? 20 = 110 10 1 3 x 110 = 330 ÷ 20 = 16 20 = 16 2

50. Percent of a Number Suppose there are 300 students at Central Middle School. Find the number of students that have cheese as a snack. Do this on your own.

51. Percent of a Number Suppose there are 300 students at Central Middle School. Find the number of students that have cheese as a snack. 15 ? 100 = 300 3 ? 20 = 300 3 x 300 = 900 900 ÷ 20 = 45

52. Percent of a Number Suppose there are 300 students at Central Middle School. Find the number of students that have chips as a snack. Do this on your own.

53. Percent of a Number Suppose there are 300 students at Central Middle School. Find the number of students that have chips as a snack. 18 ? 100 = 300 9 ? 50 = 300 9 x 300 = 2700 2700 ÷ 50 = 54

54. Percent of a Number When finding a percent that is less than 1, you must multiply with decimals.

55. Percent of a Number When finding a percent that is less than 1, you must multiply with decimals. Multiply normally, ignoring the decimal points.

56. Percent of a Number When finding a percent that is less than 1, you must multiply with decimals. Multiply normally, ignoring the decimal points. Then put the decimal point in the answer - it will have as many decimal places as the two factors combined.

57. Percent of a Number For example 30 x 0.13 Multiply and ignore the decimals 30 x 13 90 300 390

58. Percent of a Number For example 30 x 0.13 Add total number of decimals in the factors 30 x 13 the factors have 2 90 decimal places. 300 3.90 the product must have 2 decimal places

59. Percent of a Number Find.3 % of 200. (Do this on your own)

60. Percent of a Number Find.3 % of 200..3 ? 100 = 200.3 x 200 = 60 ÷ 100 = 0.6 200 0 decimals x.3 1 decimal 60.0 1 decimal

61. Percent of a Number Find.25% of 58. (Do this on your own)

62. Percent of a Number Find.25% of 58..25 ? 100 = 58.25 x 58 = 14.5 ÷ 100 = 0.145 58 0 decimals x.25 2 decimals 290 1160 14.50 2 decimals

63. Percent of a Number Find 0.55% of 220. (Do this on your own)

64. Percent of a Number Find 0.55% of 220. 0.55 ? 100 = 220 0.55 x 220 = 121 ÷ 100 = 1.21 220 0 decimals x.55 2 decimals 1100 11000 121.00 2 decimals

65. Percent of a Number In a recent state Special Olympics meet, Franklin County sent a team of 70 players. Twenty percent of the team competed in soccer. How many athletes competed in soccer? (Do this on your own)

66. Percent of a Number In a recent state Special Olympics meet, Franklin County sent a team of 70 players. Twenty percent of the team competed in soccer. How many athletes competed in soccer? 20 ? 100 = 70 1 ? 5 = 70 1 x 70 = 70 ÷ 5 = 14

67. Percent of a Number In this same meet 15% of the team from Delaware County competed in tennis. If there were 20 members on the team, how many played tennis? (Do this on your own)

68. Percent of a Number In this same meet 15% of the team from Delaware County competed in tennis. If there were 20 members on the team, how many played tennis? 15 ? 100 = 20 3 ? 20 = 20 3 x 20 = 60 ÷ 20 = 3

69. Percent of a Number Is 16% of 40 the same as 40% of 16?

70. Percent of a Number Is 16% of 40 the same as 40% of 16? 16 ? 40 ? 100 = 40 100 = 16 4 ? 2 ? 25 = 40 5 = 16 4 x 40 = 160 2 x 16 = 32 160 ÷ 25 = 6.4 32 ÷ 5 = 6.4 Yes, they are the same.

71. Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500?

72. Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500? 15 ? 100 = 500 3 ? 20 = 500 3 x 500 = 1500 ÷ 20 = 75

73. Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500? 15 ? 100 = 75 3 ? 20 = 75 3 x 75 = 225 ÷ 20 = 11.25

74. Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500? 15 ? 100 = 11.25 3 ? 20 = 11.25 3 x 11.25 = 33.75 ÷ 20 = 1. 6875

75. Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500? 45 ? 100 = 500 9 ? 20 = 500 9 x 500 = 4500 ÷ 20 = 225 1. 6875 ≠ 225 They are not the same.

76. Percent of a Number Agenda Notes Homework – Homework Practice 6.2.7 Chapter 6.2 Test Thursday, Sept 18 Accum Review 3 due Thursday, Sept 18