1. 5 Minute Check

2. Complete in your notes. 1. Write 0.35 as a percent.

3. 5 Minute Check Complete in your notes. 1. Write 0.35 as a percent. To convert a decimal to a percent, multiply by 100 and add the percent sign. 0.35 · 100 = 35%

4. 5 Minute Check Complete in your notes. 2. Write 8.5% as a decimal.

5. 5 Minute Check Complete in your notes. 2. Write 8.5% as a decimal. To convert a percent to a decimal, divide by 100 and remove the percent sign. 8.5% ÷ 100 = 0.085

6. 5 Minute Check Complete in your notes. 3. Write 0.725 as a percent.

7. 5 Minute Check Complete in your notes. 3. Write 0.725 as a percent. 0.725 · 100 = 72.5%

8. 5 Minute Check

10. Tuesday, Jan 27 Lesson 7.2.1/7.2.2 Estimating and Finding the Percent of a Number

11. Solve One-Step Inequalities

16. Estimating and Finding the Percent of a Number Objective: To estimate and find the percent of a number.

17. Estimating and Finding the Percent of a Number When estimating with percents, choose comparable numbers that can be mentally calculated. Comparable numbers are close to the original number, many times they end in a “5” or “0”.

18. Estimating and Finding the Percent of a Number There are several different methods to find the percent of a number. Two are as follows:

19. Estimating and Finding the Percent of a Number There are several different methods to find the percent of a number. To find the percent of a number, convert the percent to a decimal and multiply. i.e 43% of 50 is.43 · 50 The easier method if you have a calculator.

20. Estimating and Finding the Percent of a Number There are several different methods to find the percent of a number. To find the percent of a number, convert the percent to a decimal and multiply. To find the percent of a number, convert the percent to a fraction, set up a proportion and solve.

21. Estimating and Finding the Percent of a Number Find 12% of 307. What comparable numbers would make this able to be done mentally? Put your pencil down!

22. Estimating and Finding the Percent of a Number Find 12% of 307. What comparable numbers would make this able to be done mentally? Find 10% of 300.

23. Estimating and Finding the Percent of a Number Find 12% of 307. What comparable numbers would make this able to be done mentally? Find 10% of 300. To find 10% of any number move the decimal place one place to the left.

24. Estimating and Finding the Percent of a Number Find 12% of 307. About 30 What comparable numbers would make this able to be done mentally? Find 10% of 300. To find 10% of any number move the decimal place one place to the left.

25. Estimating and Finding the Percent of a Number Find 12% of 307. About 30 Actual?

26. Estimating and Finding the Percent of a Number Find 12% of 307. About 30 Decimal Method 307 x.12 614 two decimal places 3070 36.84

27. Estimating and Finding the Percent of a Number

28. Find 25% of 180. Estimate? Put your pencil down!

29. Estimating and Finding the Percent of a Number

30. Find 25% of 180. About 40 Decimal Method 180 x.25 900 3600 45.00

31. Estimating and Finding the Percent of a Number

32. Find 40% of 70. Estimate? Put your pencil down!

33. Estimating and Finding the Percent of a Number

34. Find 40% of 70. 70 x.40 00 2800 28.00

35. Estimating and Finding the Percent of a Number Find 122% of 75. Estimate? Put your pencil down!

36. Estimating and Finding the Percent of a Number Find 122% of 75. Estimate? Since the percent is about 20% larger than 100, then the answer will be about 20% larger than 75. What is 10% of 75?

37. Estimating and Finding the Percent of a Number Find 122% of 75. Estimate? What is 10% of 75? 7.5 Double that and add to 75.

38. Estimating and Finding the Percent of a Number Find 122% of 75. Estimate? Since the percent is 20% larger than 100, then the answer will be 20% larger than 75. What is 10% of 75? 7.5 Double that and add to 75. 90

39. Estimating and Finding the Percent of a Number Find 122% of 75. About 90 Actual?

40. Estimating and Finding the Percent of a Number Find 122% of 75. About 90 1.22 x 75 610 8540 91.50

41. Estimating and Finding the Percent of a Number Find 148% of 28. Estimate?

42. Estimating and Finding the Percent of a Number Find 148% of 28. Estimate? Since the percent is about 50% larger than 100, then the answer will be about 50% larger than 28. What is 50% of 28?

43. Estimating and Finding the Percent of a Number Find 148% of 28. Estimate? Since the percent is about 50% larger than 100, then the answer will be about 50% larger than 28. Add it to 28.

44. Estimating and Finding the Percent of a Number Find 148% of 28. About 42 Actual?

45. Estimating and Finding the Percent of a Number Find 148% of 28. About 42 1.48 x 28 1184 2960 41.44

46. Estimating and Finding the Percent of a Number Find 160% of 35. Estimate?

47. Estimating and Finding the Percent of a Number Find 160% of 35. About 53 Actual?

48. Estimating and Finding the Percent of a Number Find 160% of 35. 1.60 x 35 800 4800 56.00

49. Estimating and Finding the Percent of a Number Find 0.5% of 62. Estimate?

50. Estimating and Finding the Percent of a Number Find 0.5% of 62. Estimate? What is 1% of 60?

51. Estimating and Finding the Percent of a Number Find 0.5% of 62. Estimate? What is half of that?

52. Estimating and Finding the Percent of a Number Find 0.5% of 62. About 0.3 Actual? Do not forget how to convert a percent to a decimal.

53. Estimating and Finding the Percent of a Number Find 0.5% of 62. About 0.3.005 x 62.310 0.5% = 0.005

54. Estimating and Finding the Percent of a Number

64. The languages spoken in a particular town is shown in the graph below. If there are 800 people in the town, how many speak Spanish?

65. Estimating and Finding the Percent of a Number The languages spoken in a particular town is shown in the graph below. If there are 800 people in the town, how many speak Spanish? 800 x.30 000 24000 240.00

66. Estimating and Finding the Percent of a Number Suppose there are 20 questions on a multiple-choice test. If 25% of the answers are choice B, how many are not choice B?

67. Estimating and Finding the Percent of a Number Suppose there are 20 questions on a multiple-choice test. If 25% of the answers are choice B, how many are not choice B? 20 x.75 100 1400 15.00

68. Estimating and Finding the Percent of a Number If 275 students took the survey below, how many can be expected to have 3 television each in their house?

69. Estimating and Finding the Percent of a Number If 275 students took the survey below, how many can be expected to have 3 television each in their house? 275 x.23 825 5500 63.25 About 63 students.

70. Estimating and Finding the Percent of a Number Mr. Sudimack earned a 4% commission on a sale of a hot tub that cost $3,755. How much did he earn?

71. Estimating and Finding the Percent of a Number Mr. Sudimack earned a 4% commission on a sale of a hot tub that cost $3,755. How much did he earn? 3755 x.04 150.20

72. Estimating and Finding the Percent of a Number Johanna’s parents give her $10 per week for lunch money. Suppose you add 10% of a number to the number, and then you subtract 10% of the total. Is the result greater than, less than or equal to the original number? Explain.

73. Estimating and Finding the Percent of a Number Johanna’s parents give her $10 per week for lunch money. Suppose you add 10% of a number to the number, and then you subtract 10% of the total. Is the result greater than, less than or equal to the original number? Explain. Less the original number. Subtracting 10% of the total, since it is a larger number, is greater. (10% of 90) (10% of 99) 90 + 9 = 99 – 9.9 = 89.1

74. Estimating and Finding the Percent of a Number Johanna’s parents give her $10 per week for lunch money. When is it easiest to use the proportion method to find the percent of a number?

75. Estimating and Finding the Percent of a Number Johanna’s parents give her $10 per week for lunch money.

76. Estimating and Finding the Percent of a Number Agenda Notes Homework – Homework Practice 7.2.1/7.2.2 Due Wednesday, Jan 28 Mid-Chapter 7.2 Quiz - Friday, Jan 30