1. 5 Minute Check Find the simple interest rate to the nearest cent. Complete on the back of your homework. 1. $1000, 4%, 2 years 2. $500, 3%, 4 months 3. $250, 2.5%, 3 years 4. $3,000, 5.5%, 9 months

2. 5 Minute Check Find the simple interest rate to the nearest cent. Complete on the back of your homework. 1. $1000, 4%, 2 years

3. 5 Minute Check Find the simple interest rate to the nearest cent. Complete on the back of your homework. 1. $1000, 4%, 2 years I = prt I = 1000 ·.04 · 2 = $80.00

4. 5 Minute Check Find the simple interest rate to the nearest cent. Complete on the back of your homework. 2. $500, 3%, 4 months

5. 5 Minute Check

6. Find the simple interest rate to the nearest cent. Complete on the back of your homework. 3. $250, 2.5%, 3 years

7. 5 Minute Check Find the simple interest rate to the nearest cent. Complete on the back of your homework. 3. $250, 2.5%, 3 years I = prt I = 250 ·.025 · 3 = $18.75

8. 5 Minute Check Find the simple interest rate to the nearest cent. Complete on the back of your homework. 4. $3,000, 5.5%, 9 months

9. 5 Minute Check

10. Thursday, Feb 5 Lesson 7.3 Integers and Absolute Value

11. Objective: To perform operations with positive and negative integers; and find the absolute value of an integer.

12. Integers and Absolute Value Integers are all positive and negative whole numbers and zero. You will need your number lines for today’s lesson.

13. Integers and Absolute Value We can use a number line to display all integers.

14. Integers and Absolute Value An average temperature of 5 degrees below normal would be written as what integer?

15. Integers and Absolute Value An average temperature of 5 degrees below normal would be written as what integer? -5

16. Integers and Absolute Value An average rainfall of 5 inches above normal would be written as what integer?

17. Integers and Absolute Value An average rainfall of 5 inches above normal would be written as what integer? +5

18. Integers and Absolute Value In golf, scores are often written in relationship to par, the average score for a round at a certain course. Write an integer to represent a score that is 7 under par.

19. Integers and Absolute Value In golf, scores are often written in relationship to par, the average score for a round at a certain course. Write an integer to represent a score that is 7 under par. -7

20. Integers and Absolute Value Sets of integers can also be graphed. The following set would be graphed as follows: [4, -6, 0]

21. Integers and Absolute Value Opposites are numbers that are the same distance from zero in opposite directions on the number line.

22. Integers and Absolute Value The absolute value is the distance a number is from zero on the number line. The absolute value will always be a positive number. InI = the absolute value of n.

23. Integers and Absolute Value What is I -4 I ?

24. Integers and Absolute Value What is I -4 I ? I -4 I = 4

25. Integers and Absolute Value What is I -5 I - 2?

26. Integers and Absolute Value What is I -5 I - 2? I -5 I – 2 5 – 2 3

27. Integers and Absolute Value What is 2 + I -3 I ?

28. Integers and Absolute Value What is 2 + I -3 I ? 2 + I -3 I 2 + 3 5

29. Integers and Absolute Value Two integers that are opposites are also called additive inverses. The Additive Inverse Property states that the sum of any number and its opposite will always be zero. 2 + (-2) = 0

30. Integers and Absolute Value When performing operations with positive and negative integers, the following rules apply: Write this down.

31. Integers and Absolute Value Find 6 + (-2). First, re-write without the parenthesis. 6 ? 2

32. Integers and Absolute Value Find 6 + (-2). First, re-write without the parenthesis. 6 – 2

33. Integers and Absolute Value Find 6 + (-2). Then perform the operations. 6 – 2 4

34. Integers and Absolute Value Find -3 + (-2). Without the parenthesis?

35. Integers and Absolute Value Find -3 + (-2). Perform the operations. -3 – 2

36. Integers and Absolute Value Find -3 + (-2). -3 – 2 - 5

37. Integers and Absolute Value Find 5 - (-2). Do this on your own.

38. Integers and Absolute Value Find 5 - (-2). 5 + 2 7

39. Integers and Absolute Value Find 7 + (-7). Do this on your own.

40. Integers and Absolute Value Find 7 + (-7). 7 - 7 0

41. Integers and Absolute Value Find -9 - (-4). Do this on your own.

42. Integers and Absolute Value Find -9 - (-4). -9 + 4 -5

43. Integers and Absolute Value Find 7 – (-5) - 9 + (-4) Do this on your own.

44. Integers and Absolute Value Find 7 – (-5) - 9 + (-4) 7 + 5 – 9 – 4 12 – 9 - 4 3 - 4

45. Integers Find x – y, if x = -6 and y = -5.

46. Integers Find x – y, if x = -6 and y = -5. -6 – (-5) -6 + 5

47. Integers Find m + n, if m = -15 and n = -8.

48. Integers Find m + n, if m = -15 and n = -8. -15 + (-8) -15 - 8 -23

49. Integers and Absolute Value The same rules apply when multiplying or dividing.

50. Integers and Absolute Value Find 7(5).

51. Integers and Absolute Value Find 7(5). 35 If there is no operation, it is assumed to be multiplication.

52. Integers and Absolute Value Find 3(-5). Since the 1st number is + and the 2 nd is -, the answer will be -. What is the answer?

53. Integers and Absolute Value Find 3(-5). -15 Since the 1st number is + and the 2 nd is -, the answer will be -. What is the answer?

54. Integers Find -6(8). Do this on your own.

55. Integers Find -6(8). -48 Since the 1st number is - and the 2 nd is +, the answer will be -.

56. Integers Find -9(-2). Do this on your own.

57. Integers Find -9(-2). 18 Since the 1st number is - and the 2 nd is -, the answer will be +.

58. Integers Find (-4)².

59. Integers Find (-4)². (-4)(-4) 16

60. Integers Find -3(-4)(-2). Do this on your own.

61. Integers Find -3(-4)(-2). 12(-2) -24

62. Integers Mr. Simon’s bank automatically deducts a $4 monthly maintenance fee from his savings account. Write a multiplication expression to represent the maintenance fees for one year. Then find the product and explain. Do this on your own.

63. Integers Mr. Simon’s bank automatically deducts a $4 monthly maintenance fee from his savings account. Write a multiplication expression to represent the maintenance fees for one year. Then find the product and explain. -4(12) -$48 $48 will be deducted from account in one year.

64. Integers Since division is the reversal of multiplication, these rules can also be used to divide positive and negative integers.

65. Integers Find 80 ÷ (-10). What is the quotient without regard to the positive or negative signs?

66. Integers Find +80 ÷ (-10). 8 Since we have a + and -, what should the sign be?

67. Integers Find +80 ÷ (-10). - 8 Check: 80 ÷ (-10) = -8, then -8 · (-10) = 80

68. Integers Find 20 ÷ (-4). Do this on your own.

69. Integers Find 20 ÷ (-4). - 5 Check: 20 ÷ (-4) = -5, then -5 · (-4) = 20

70. Integers

74. Find -14 ÷ (-7) Do this on your own.

75. Integers Find -14 ÷ (-7) 2 Check: -14 ÷ (-7) = 2, then 2 · (-7) = -14

76. Integers

78. Evaluate a ÷ b, if a = -33 and b = -3 Do this on your own.

79. Integers Evaluate a ÷ b, if a = -33 and b = -3 -33 ÷ (-3) 11 Check: -33 ÷ (-3) = 11, then 11 · (-3) = -33

80. Integers and Absolute Value Johanna’s parents give her $10 per week for lunch money. If I x I = 3, what is the value of x ?

81. Integers and Absolute Value Johanna’s parents give her $10 per week for lunch money. If I x I = 3, what is the value of x ? x = 3 or -3

82. Integers Johanna’s parents give her $10 per week for lunch money. 50. Evaluate (-1) Explain. Do this on your own.

83. Integers Johanna’s parents give her $10 per week for lunch money. 50. Evaluate (-1) Explain. Since (-1)(-1) = 1 and there are 25 pairs of (-1) the product will be 1. 50 25 (-1) = (1) = 1

84. Integers and Absolute Value Johanna’s parents give her $10 per week for lunch money. Simplify. 8 + (-8) + a

85. Integers and Absolute Value Johanna’s parents give her $10 per week for lunch money. Simplify. 8 + (-8) + a 8 – 8 + a a

86. Integers and Absolute Value Johanna’s parents give her $10 per week for lunch money. Simplify. x + (-5) + 1

87. Integers and Absolute Value Johanna’s parents give her $10 per week for lunch money. Simplify. x + (-5) + 1 x – 5 + 1 x - 4

88. Integers and Absolute Value Homework Homework Practice CH 7.3 Review Due Monday, Feb 9 Chapter 7.2/7.3 Test - Tuesday, Feb 11