1. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? ³= 2. ( 1 4 )⁴ = ² = 4. 3⁵ =

2. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? ³=

3. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? ³=
2.5
x 2.5
125
500
6.25
6.25
x 2.5
3125
12500
15.625

4. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 2. ( 1 4 )⁴ =

5. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 2. ( 1 4 )⁴ = 1 256
1 4 x x x =

6. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? ² =

7. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? ² = 0.36 .6
x .6
.36

8. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ =

9. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243
3 x 3 x 3 x 3 x 3
9 x 3 x 3 x 3
27 x 3 x 3
81 x 3
243

10. Flashcards

11. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

12. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

13. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

14. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

15. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

16. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

17. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

18. 5 Minute Check
Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

19. Lesson 6.2 Numerical Expressions
Tuesday, Jan 5
Lesson 6.2 Numerical Expressions

20. Numerical Expressions
Objective: To find the value of expressions using the order of operations.

21. Numerical Expressions
A numerical expression is a combination of numbers and operations. i.e 3 x – 9 Remember that an expression does not have an equal sign.

22. Numerical Expressions
The order of operations dictates which operation is to be done first.
What does PEMDAS mean?
(Please Excuse My Dear Aunt Sally)

23. Numerical Expressions
P - Parentheses
E - Exponents
M - Multiply
D - Divide
A - Add
S - Subtract

24. Numerical Expressions
P - Parentheses ( simplify everything inside the parentheses)
E - Exponents
M - Multiply
D - Divide
A - Add
S - Subtract

25. Numerical Expressions
P - Parentheses ( simplify everything inside the parentheses)
E - Exponents (Find the value of all the powers)
M - Multiply
D - Divide
A - Add
S - Subtract

26. Numerical Expressions
P - Parentheses ( simplify everything inside the parentheses)
E - Exponents (Find the value of all the powers)
M - Multiply AND
D – Divide (from left to right)
A - Add
S - Subtract

27. Numerical Expressions
P - Parentheses ( simplify everything inside the parentheses)
E - Exponents (Find the value of all the powers)
M - Multiply AND
D – Divide (from left to right)
A – Add AND
S – Subtract (from left to right)

28. Numerical Expressions
In math sometimes a dot is used to represent multiplication. 4 x 3 = 4 · 3

29. Numerical Expressions
Find the value of What do we do first?

30. Numerical Expressions
Find the value of What do we do first? PEMDAS!

31. Numerical Expressions
Find the value of Any Parentheses?

32. Numerical Expressions
Find the value of Any Parentheses? No.

33. Numerical Expressions
Find the value of Any Exponents?

34. Numerical Expressions
Find the value of Any Exponents? No.

35. Numerical Expressions
Find the value of Any Multiplication or Division?

36. Numerical Expressions
Find the value of Any Multiplication or Division? No

37. Numerical Expressions
Find the value of Any Addition or Subtraction?

38. Numerical Expressions
Find the value of Any More Addition or Subtraction? Remember to solve from left to right.

39. Numerical Expressions
Find the value of Any Addition or Subtraction? Yes.

40. Numerical Expressions
Find the value of · 5 Any Parentheses?

41. Numerical Expressions
Find the value of · 5 Any Parentheses? No.

42. Numerical Expressions
Find the value of · 5 Any Exponents?

43. Numerical Expressions
Find the value of · 5 Any Exponents? No.

44. Numerical Expressions
Find the value of · 5 Any Multiplication or Division?

45. Numerical Expressions
Find the value of · Any Multiplication or Division? Yes.

46. Numerical Expressions
Find the value of · Any More Multiplication or Division?

47. Numerical Expressions
Find the value of · Any More Multiplication or Division? No.

48. Numerical Expressions
Find the value of · Any Addition or Subtraction?

49. Numerical Expressions
Find the value of · Any Addition or Subtraction? Yes.

50. Numerical Expressions
On your home work you are to show all work. Which means you are to perform one operation, then rewrite the expression. Then repeat. If you have two operations, you must have two additional lines below the original problem.

51. Numerical Expressions
Find the value of · For example, the blue is the work to solve the expression. There are two operations, and two lines of work. The triangle is optional.

52. Numerical Expressions
Find the value of 16 ÷ 2 · 4 Do this on your own.

53. Numerical Expressions
Find the value of 16 ÷ 2 · 4 Any Parentheses?

54. Numerical Expressions
Find the value of 16 ÷ 2 · 4 Any Parentheses? No.

55. Numerical Expressions
Find the value of 16 ÷ 2 · 4 Any Exponents?

56. Numerical Expressions
Find the value of 16 ÷ 2 · 4 Any Exponents? No.

57. Numerical Expressions
Find the value of 16 ÷ 2 · 4 Any Multiplication or Division?

58. Numerical Expressions
Find the value of 16 ÷ 2 · 4 8 · 4 Any More Multiplication or Division?

59. Numerical Expressions
Find the value of 16 ÷ 2 · 4 8 · 4 32 Any Multiplication or Division? Yes. We can stop here, why?

60. Numerical Expressions
Find the value of 16 ÷ 2 · 4 8 · 4 32 Any Multiplication or Division? Yes. We can stop here, why? Because there no more operations.

61. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) Do this on your own.

62. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) Any Parentheses?

63. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) 20 ÷ · 3 Any Parentheses? Yes.

64. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) 20 ÷ · 3 Any Exponents?

65. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) 20 ÷ · 3 Any Exponents? No.

66. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) 20 ÷ · 3 Any Multiplication or Division?

67. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) 20 ÷ · · 3 Any More Multiplication or Division?

68. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) 20 ÷ · · Any More Multiplication or Division? Yes.

69. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) 20 ÷ · · Any Addition or Subtraction?

70. Numerical Expressions
Find the value of 20 ÷ · (9 – 6) 20 ÷ · · Any Addition or Subtraction? Yes.

71. Numerical Expressions
Find the value of 5 + (8² - 2) · 2 Do this on your own.

72. Numerical Expressions
Find the value of 5 + (8² - 2) · 2 Because we have more than one operation inside the parentheses, we have to go through a separate order of operations for just inside the parentheses.

73. Numerical Expressions
Find the value of 5 + (8² - 2) · 2 Any Parentheses inside the Parentheses?

74. Numerical Expressions
Find the value of 5 + (8² - 2) · 2 Any Parentheses inside the Parentheses? no

75. Numerical Expressions
Find the value of 5 + (8² - 2) · 2 Any Exponents inside the Parentheses?

76. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · 2 Any Exponents inside the Parentheses? yes

77. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · 2 Any Multiplication or Division inside the Parentheses?

78. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · 2 Any Multiplication or Division inside the Parentheses? No

79. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · 2 Any Addition or Subtraction inside the Parentheses?

80. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · 2 Any Addition or Subtraction inside the Parentheses? Yes

81. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · 2 Now that we have solved every operation inside the parenthesis, we can return to the original expression.

82. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · 2 Any Parentheses?

83. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · 2 Any Parentheses? No

84. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · 2 Any Exponents?

85. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · 2 Any Exponents? No

86. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · 2 Any Multiplication or Division?

87. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · Any Multiplication or Division? Yes

88. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · Any Addition or Subtraction?

89. Numerical Expressions
Find the value of 5 + (8² - 2) · (64 - 2) · · Any Addition or Subtraction? Yes

90. Numerical Expressions
Write an expression for total cost of 5 lotions, 2 candles, and 4 lip balms. Find the total cost. Do this on your own.

91. Numerical Expressions
Write an expression for total cost of 5 lotions, 2 candles, and 4 lip balms. Find the total cost.
5 · $5 + 2 · $7 + 4 · $2
$ · $7 + 4 · $2
$ $ · $2
$ $ $8
$ $8
$47

92. Numerical Expressions
Tickets to a play cost $10 for members and $24 for non-members. Write an expression to find the total cost of 4 non-member tickets and 2 member tickets. Find the total cost. Do this on your own.

93. Numerical Expressions
Tickets to a play cost $10 for members and $24 for non-members. Write an expression to find the total cost of 4 non-member tickets and 2 member tickets. Find the total cost. 2 · $ · $24 $20 + $96 $116

94. Use the expression 34 – 12 ÷ Place parentheses in the expression so that the value of the expression is 15.

95. Use the expression 34 – 12 ÷ Place parentheses in the expression so that the value of the expression is 15. (34 – 12) ÷ 2 + 4

96. Use the expression 34 – 12 ÷ Place parentheses in the expression so that the value of the expression is 32.

97. Use the expression 34 – 12 ÷ Place parentheses in the expression so that the value of the expression is – 12 ÷ (2 + 4)

98. Numerical Expressions
Agenda Notes Homework – Homework Practice 6.2 Show all work and circle all answers. Due Wednesday, Jan 6 Mid-Chapter 6 Quiz Friday, Jan 8