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# 6-11 Evaluating Expressions with Decimals

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• ### 6-11 Evaluating Expressions with Decimals

1. 1. 6-11 Evaluating Expressions with Decimals Math Notes Algebra and Functions 1.2
2. 2. Skills needed...Evaluating Expression - toevaluate an expression withvariables, substitute values foreach variable and simplify.
3. 3. Skills needed...Evaluating Expression - toevaluate an expression withvariables, substitute values foreach variable and simplify.6x n
4. 4. Skills needed...Evaluating Expression - toevaluate an expression withvariables, substitute values foreach variable and simplify.6x n n =3
5. 5. Skills needed...Evaluating Expression - toevaluate an expression withvariables, substitute values foreach variable and simplify.6x n =3
6. 6. Skills needed...Evaluating Expression - toevaluate an expression withvariables, substitute values foreach variable and simplify.6x3
7. 7. Skills needed...Evaluating Expression - toevaluate an expression withvariables, substitute values foreach variable and simplify.6 x 3 = 18
8. 8. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9
9. 9. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9
10. 10. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x n -3
11. 11. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9n = 0.67 5 x n -3
12. 12. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3
13. 13. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3STEP ONE - Do the operations inside parentheses
14. 14. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3STEP ONE - Do the operations inside parentheses No parentheses? Move on to STEP TWO
15. 15. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3
16. 16. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3STEP TWO - Do the multiplication or division from left to right
17. 17. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3STEP TWO - Do the multiplication or division from left to right
18. 18. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3 3.35STEP TWO - Do the multiplication or division from left to right
19. 19. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3 3.35
20. 20. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3 3.35STEP THREE - Do the addition or subtraction from left to right
21. 21. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3 3.35 - 3STEP THREE - Do the addition or subtraction from left to right
22. 22. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3 3.35 - 3STEP THREE - Do the addition or subtraction from left to right
23. 23. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 0.67 - 3 3.35 - 3 0.35STEP THREE - Do the addition or subtraction from left to right
24. 24. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9
25. 25. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9
26. 26. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x n -3
27. 27. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9n = 3.4 5 x n -3
28. 28. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3
29. 29. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3STEP ONE - Do the operations inside parentheses
30. 30. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3STEP ONE - Do the operations inside parentheses No parentheses? Move on to STEP TWO
31. 31. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3
32. 32. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3STEP TWO - Do the multiplication or division from left to right
33. 33. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3STEP TWO - Do the multiplication or division from left to right
34. 34. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3 17.0STEP TWO - Do the multiplication or division from left to right
35. 35. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3 17.0
36. 36. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3 17.0STEP THREE - Do the addition or subtraction from left to right
37. 37. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3 17.0 - 3STEP THREE - Do the addition or subtraction from left to right
38. 38. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3 17.0 - 3STEP THREE - Do the addition or subtraction from left to right
39. 39. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 3.4 - 3 17.0 - 3 14.0STEP THREE - Do the addition or subtraction from left to right
40. 40. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9
41. 41. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9
42. 42. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x n -3
43. 43. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9n = 22.9 5 x n -3
44. 44. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3
45. 45. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3STEP ONE - Do the operations inside parentheses
46. 46. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3STEP ONE - Do the operations inside parentheses No parentheses? Move on to STEP TWO
47. 47. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3
48. 48. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3STEP TWO - Do the multiplication or division from left to right
49. 49. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3STEP TWO - Do the multiplication or division from left to right
50. 50. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3 114.5STEP TWO - Do the multiplication or division from left to right
51. 51. Evaluate 5n - 3n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3 114.5
52. 52. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3 114.5STEP THREE - Do the addition or subtraction from left to right
53. 53. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3 114.5 - 3STEP THREE - Do the addition or subtraction from left to right
54. 54. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3 114.5 - 3STEP THREE - Do the addition or subtraction from left to right
55. 55. Evaluate 5n - 3 n = 0.67, n = 3.4, n = 22.9 5 x 22.9 - 3 114.5 - 3 111.5STEP THREE - Do the addition or subtraction from left to right
56. 56. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06
57. 57. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06
58. 58. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ y + 2.8
59. 59. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06y =3 3.6 ÷ y + 2.8
60. 60. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ 3 + 2.8
61. 61. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06STEP ONE - Do the operations inside parentheses 3.6 ÷ 3 + 2.8
62. 62. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06STEP ONE - Do the operations inside parentheses 3.6 ÷ 3 + 2.8 No parentheses? Move on to STEP TWO
63. 63. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ 3 + 2.8
64. 64. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 3 + 2.8STEP TWO - Do the multiplication or division from left to right
65. 65. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 3 + 2.8STEP TWO - Do the multiplication or division from left to right
66. 66. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 3 + 2.8STEP TWO - Do the multiplication 1.2 or division from left to right
67. 67. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ 3 + 2.8 1.2 + 2.8
68. 68. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 3 + 2.8STEP THREE - Do the addition or subtraction from left to right 1.2 + 2.8
69. 69. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 3 + 2.8STEP THREE - Do the addition or subtraction from left to right 1.2 + 2.8
70. 70. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 3 + 2.8STEP THREE - Do the addition or subtraction from left to right 1.2 + 2.8 4.0
71. 71. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06
72. 72. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06
73. 73. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ y + 2.8
74. 74. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06y = 1.8 3.6 ÷ y + 2.8
75. 75. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ 1.8 + 2.8
76. 76. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06STEP ONE - Do the operations 3.6 ÷ 1.8 + 2.8 inside parentheses
77. 77. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06STEP ONE - Do the operations 3.6 ÷ 1.8 + 2.8 inside parentheses No parentheses? Move on to STEP TWO
78. 78. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ 1.8 + 2.8
79. 79. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 1.8 + 2.8STEP TWO - Do the multiplication or division from left to right
80. 80. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 1.8 + 2.8STEP TWO - Do the multiplication or division from left to right
81. 81. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 1.8 + 2.8STEP TWO - Do the multiplication 2.0 or division from left to right
82. 82. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ 1.8 + 2.8 2.0 + 2.8
83. 83. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 1.8 + 2.8 2.0 + 2.8STEP THREE - Do the addition or subtraction from left to right
84. 84. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 1.8 + 2.8 2.0 + 2.8STEP THREE - Do the addition or subtraction from left to right
85. 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 4.8STEP THREE - Do the addition or subtraction from left to right
86. 86. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06
87. 87. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06
88. 88. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ y + 2.8
89. 89. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06y = 0.06 3.6 ÷ y + 2.8
90. 90. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ 0.06 + 2.8
91. 91. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06STEP ONE - Do the operations 3.6 ÷ 0.06 + 2.8 inside parentheses
92. 92. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06STEP ONE - Do the operations 3.6 ÷ 0.06 + 2.8 inside parentheses No parentheses? Move on to STEP TWO
93. 93. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ 0.06 + 2.8
94. 94. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 0.06 + 2.8STEP TWO - Do the multiplication or division from left to right
95. 95. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 0.06 + 2.8STEP TWO - Do the multiplication or division from left to right
96. 96. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 0.06 + 2.8STEP TWO - Do the multiplication 60 or division from left to right
97. 97. 3.6 Evaluate + 2.8 yy = 3, y = 1.8, y = 0.06 3.6 ÷ 0.06 + 2.8 60 + 2.8
98. 98. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 0.06 + 2.8 60 + 2.8STEP THREE - Do the addition or subtraction from left to right
99. 99. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 0.06 + 2.8 60 + 2.8STEP THREE - Do the addition or subtraction from left to right
100. 100. 3.6 Evaluate + 2.8 y y = 3, y = 1.8, y = 0.06 3.6 ÷ 0.06 + 2.8 60 + 2.8 62.8STEP THREE - Do the addition or subtraction from left to right