1. 6-11 Evaluating Expressions
with Decimals
Math Notes
Algebra and Functions 1.2

2. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.

3. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6x n

4. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6x n n =3

5. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6x n =3

6. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6x3

7. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6 x 3 = 18

8. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9

9. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9

10. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x n -3

11. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
n = 0.67 5 x n -3

12. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3

13. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
STEP ONE - Do the operations
inside parentheses

14. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
STEP ONE - Do the operations
inside parentheses
No parentheses?
Move on to STEP TWO

15. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3

16. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
STEP TWO - Do the multiplication
or division from left to right

17. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
STEP TWO - Do the multiplication
or division from left to right

18. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
3.35
STEP TWO - Do the multiplication
or division from left to right

19. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
3.35

20. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
3.35
STEP THREE - Do the addition or
subtraction from left to right

21. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
3.35 - 3
STEP THREE - Do the addition or
subtraction from left to right

22. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
3.35 - 3
STEP THREE - Do the addition or
subtraction from left to right

23. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 0.67 - 3
3.35 - 3
0.35
STEP THREE - Do the addition or
subtraction from left to right

24. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9

25. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9

26. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x n -3

27. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
n = 3.4 5 x n -3

28. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3

29. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
STEP ONE - Do the operations
inside parentheses

30. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
STEP ONE - Do the operations
inside parentheses
No parentheses?
Move on to STEP TWO

31. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3

32. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
STEP TWO - Do the multiplication
or division from left to right

33. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
STEP TWO - Do the multiplication
or division from left to right

34. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
17.0
STEP TWO - Do the multiplication
or division from left to right

35. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
17.0

36. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
17.0
STEP THREE - Do the addition or
subtraction from left to right

37. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
17.0 - 3
STEP THREE - Do the addition or
subtraction from left to right

38. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
17.0 - 3
STEP THREE - Do the addition or
subtraction from left to right

39. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 3.4 - 3
17.0 - 3
14.0
STEP THREE - Do the addition or
subtraction from left to right

40. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9

41. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9

42. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x n -3

43. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
n = 22.9 5 x n -3

44. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3

45. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
STEP ONE - Do the operations
inside parentheses

46. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
STEP ONE - Do the operations
inside parentheses
No parentheses?
Move on to STEP TWO

47. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3

48. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
STEP TWO - Do the multiplication
or division from left to right

49. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
STEP TWO - Do the multiplication
or division from left to right

50. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
114.5
STEP TWO - Do the multiplication
or division from left to right

51. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
114.5

52. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
114.5
STEP THREE - Do the addition or
subtraction from left to right

53. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
114.5 - 3
STEP THREE - Do the addition or
subtraction from left to right

54. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
114.5 - 3
STEP THREE - Do the addition or
subtraction from left to right

55. Evaluate 5n - 3
n = 0.67, n = 3.4, n = 22.9
5 x 22.9 - 3
114.5 - 3
111.5
STEP THREE - Do the addition or
subtraction from left to right

56. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06

57. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06

58. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ y + 2.8

59. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
y =3 3.6 ÷ y + 2.8

60. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 3 + 2.8

61. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
STEP ONE - Do the operations
inside parentheses
3.6 ÷ 3 + 2.8

62. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
STEP ONE - Do the operations
inside parentheses
3.6 ÷ 3 + 2.8
No parentheses?
Move on to STEP TWO

63. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 3 + 2.8

64. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 3 + 2.8
STEP TWO - Do the multiplication
or division from left to right

65. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 3 + 2.8
STEP TWO - Do the multiplication
or division from left to right

66. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 3 + 2.8
STEP TWO - Do the multiplication
1.2
or division from left to right

67. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 3 + 2.8
1.2 + 2.8

68. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 3 + 2.8
STEP THREE - Do the addition or
subtraction from left to right
1.2 + 2.8

69. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 3 + 2.8
STEP THREE - Do the addition or
subtraction from left to right
1.2 + 2.8

70. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 3 + 2.8
STEP THREE - Do the addition or
subtraction from left to right
1.2 + 2.8
4.0

71. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06

72. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06

73. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ y + 2.8

74. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
y = 1.8 3.6 ÷ y + 2.8

75. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 1.8 + 2.8

76. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
STEP ONE - Do the operations
3.6 ÷ 1.8 + 2.8
inside parentheses

77. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
STEP ONE - Do the operations
3.6 ÷ 1.8 + 2.8
inside parentheses
No parentheses?
Move on to STEP TWO

78. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 1.8 + 2.8

79. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 1.8 + 2.8
STEP TWO - Do the multiplication
or division from left to right

80. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 1.8 + 2.8
STEP TWO - Do the multiplication
or division from left to right

81. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 1.8 + 2.8
STEP TWO - Do the multiplication
2.0
or division from left to right

82. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 1.8 + 2.8
2.0 + 2.8

83. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 1.8 + 2.8
2.0 + 2.8
STEP THREE - Do the addition or
subtraction from left to right

84. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 1.8 + 2.8
2.0 + 2.8
STEP THREE - Do the addition or
subtraction from left to right

85. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 1.8 + 2.8
2.0 + 2.8
4.8
STEP THREE - Do the addition or
subtraction from left to right

86. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06

87. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06

88. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ y + 2.8

89. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
y = 0.06 3.6 ÷ y + 2.8

90. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 0.06 + 2.8

91. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
STEP ONE - Do the operations 3.6 ÷ 0.06 + 2.8
inside parentheses

92. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
STEP ONE - Do the operations 3.6 ÷ 0.06 + 2.8
inside parentheses
No parentheses?
Move on to STEP TWO

93. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 0.06 + 2.8

94. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 0.06 + 2.8
STEP TWO - Do the multiplication
or division from left to right

95. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 0.06 + 2.8
STEP TWO - Do the multiplication
or division from left to right

96. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 0.06 + 2.8
STEP TWO - Do the multiplication
60
or division from left to right

97. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 0.06 + 2.8
60 + 2.8

98. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 0.06 + 2.8
60 + 2.8
STEP THREE - Do the addition or
subtraction from left to right

99. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 0.06 + 2.8
60 + 2.8
STEP THREE - Do the addition or
subtraction from left to right

100. 3.6
Evaluate + 2.8
y
y = 3, y = 1.8, y = 0.06
3.6 ÷ 0.06 + 2.8
60 + 2.8
62.8
STEP THREE - Do the addition or
subtraction from left to right