Integers <ul><li>Is the answer ……….. </li></ul><ul><li>POSITIVE or NEGATIVE? </li></ul>+ -
Positive
Negative
Addition Rules <ul><li>A positive plus a positive is a positive. </li></ul><ul><li>A positive plus a negative  </li></ul><...
Subtraction Rules <ul><li>A positive minus a positive /  Plus a negative  / Subtract and take the sign of the larger. </li...
Multiplication Rules <ul><li>A positive times a positive is a positive. </li></ul><ul><li>A positive times a negative is a...
Division Rules <ul><li>A positive divided by a positive is a positive. </li></ul><ul><li>A positive divided by a negative ...
-11 + 2 Subtract and take the sign of the larger.
-11 + 2 Positive or Negative ?
  7 + 9 A positive plus a positive is a positive.
<ul><li>7 + 9 </li></ul><ul><li>Positive or Negative ? </li></ul>
  2 – (-5) <ul><li>Slash- Slash  </li></ul><ul><li>A positive plus a positive is a positive.  </li></ul>
  2 – (-5) Positive or Negative ?
  1 + -6 Subtract and take the sign of the larger.
<ul><li>1 + - 6 </li></ul><ul><li>Positive or Negative? </li></ul>
  - 16 + 6 Subtract and take the sign of the larger.
<ul><li>- 16 + 6 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>- 7 + - 4 </li></ul>A negative plus a negative is a negative .
<ul><li>- 7 + - 4 </li></ul>Positive or Negative?
<ul><li>(7)(3) </li></ul>A positive times a positive is a positive.
<ul><li>(7)(3) </li></ul>Positive or Negative?
<ul><li>-27 / -3 </li></ul>A negative divided by a negative is a positive.
<ul><li>-27 / -3 </li></ul>Positive or Negative?
- 1 – 1 Plus a negative A negative plus a negative is a negative.
<ul><li>- 1 – 1 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>6 (-5) </li></ul><ul><li>A positive times a negative is a negative. </li></ul>
<ul><li>6 (- 5) </li></ul><ul><li>Positive or Negative ? </li></ul>
<ul><li>-10/ -5 </li></ul><ul><li>A negative divided by a negative is a positive. </li></ul>
<ul><li>-10 / -5  </li></ul><ul><li>Positive or Negative ? </li></ul>
<ul><li>-8 + 2 </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul>
<ul><li>- 8  + 2 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>10 / -5 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
<ul><li>10 / -5 </li></ul><ul><li>Positive or Negative? </li></ul>
  -7 + 1 Subtract and take the sign of the larger.
<ul><li>-7 + 1 </li></ul><ul><li>Positive or Negative ? </li></ul>
<ul><li>12 / -6 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
<ul><li>12 / -6 </li></ul><ul><li>Positive or Negative? </li></ul>
  -2 – (-7) <ul><li>Slash- Slash  </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul>
  -2 – (-7) Positive or Negative ?
  4 + -1 Subtract and take the sign of the larger.
<ul><li>4 + - 1 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>-4 (-6) </li></ul><ul><li>A negative times a negative is a positive. </li></ul>
<ul><li>-4(-6 ) </li></ul><ul><li>Positive or Negative ? </li></ul>
-7 + 9 Subtract and take the sign of the larger.
- 7 + 9 Positive or Negative ?
<ul><li>6 / -3 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
<ul><li>6   / -3 </li></ul><ul><li>Positive or Negative? </li></ul>
  9 + -8 Subtract and take the sign of the larger.
<ul><li>9 + - 8 </li></ul><ul><li>Positive or Negative? </li></ul>
- 6 – 1 Plus a negative A negative plus a negative is a negative.
<ul><li>- 6 – 1 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>1 (-9) </li></ul><ul><li>A positive times a negative is a negative. </li></ul>
<ul><li>1(-9) </li></ul><ul><li>Positive or Negative ? </li></ul>
  4 – (-4) <ul><li>Slash- Slash  </li></ul><ul><li>A positive plus a positive is a positive.  </li></ul>
  4 – (-4) Positive or Negative ?
<ul><li>-10 / 2 </li></ul><ul><li>A negative divided by a positive is a negative. </li></ul>
<ul><li>-10 / 2   </li></ul><ul><li>Positive or Negative ? </li></ul>
<ul><li>-6 + -7 </li></ul>A negative plus a negative is a negative .
<ul><li>- 6 + -7 </li></ul>Positive or Negative?
-2 + 5 Subtract and take the sign of the larger.
- 2 + 5 Positive or Negative ?
4 –  2  Plus a negative Subtract and take the sign of the larger.
<ul><li>4 – 2 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>-12 / 4 </li></ul><ul><li>A negative divided by a positive is a negative. </li></ul>
<ul><li>-12 / 4   </li></ul><ul><li>Positive or Negative ? </li></ul>
- 3 + 2 Subtract and take the sign of the larger.
- 3 + 2 Positive or Negative ?
  12 + 1 A positive plus a positive is a positive.
<ul><li>12 + 1 </li></ul><ul><li>Positive or Negative ? </li></ul>
  7 – (-2) <ul><li>Slash- Slash  </li></ul><ul><li>A positive plus a positive is a positive.  </li></ul>
  7 – (-2) Positive or Negative ?
  3 + -9 Subtract and take the sign of the larger.
<ul><li>3 + - 9 </li></ul><ul><li>Positive or Negative? </li></ul>
  - 5 + 1 Subtract and take the sign of the larger.
<ul><li>- 5 + 1 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>- 10 + - 1 </li></ul>A negative plus a negative is a negative .
<ul><li>- 10 + - 1 </li></ul>Positive or Negative?
<ul><li>(4)(3) </li></ul>A positive times a positive is a positive.
<ul><li>(4)(3) </li></ul>Positive or Negative?
<ul><li>-15 / -3 </li></ul>A negative divided by a negative is a positive.
<ul><li>-15 / -3 </li></ul>Positive or Negative?
- 1 – 4 Plus a negative A negative plus a negative is a negative.
<ul><li>-1 – 4 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>7 (-2) </li></ul><ul><li>A positive times a negative is a negative. </li></ul>
<ul><li>7(-2) </li></ul><ul><li>Positive or Negative ? </li></ul>
<ul><li>-4 / -2 </li></ul><ul><li>A negative divided by a negative is a positive. </li></ul>
<ul><li>-4 / -2   </li></ul><ul><li>Positive or Negative ? </li></ul>
<ul><li>-10 + 8 </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul>
<ul><li>- 10  + 8 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>16 / -4 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
<ul><li>16 / -4 </li></ul><ul><li>Positive or Negative? </li></ul>
  -8 + 7 Subtract and take the sign of the larger.
<ul><li>-8 + 7 </li></ul><ul><li>Positive or Negative ? </li></ul>
<ul><li>20 / -4 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
<ul><li>20 / -4 </li></ul><ul><li>Positive or Negative? </li></ul>
  -2 – (-7) <ul><li>Slash- Slash  </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul>
  -2 – (-7) Positive or Negative ?
  12 + -3 Subtract and take the sign of the larger.
<ul><li>12 + - 3 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>-6 (-1) </li></ul><ul><li>A negative times a negative is a positive. </li></ul>
<ul><li>-6(-1 ) </li></ul><ul><li>Positive or Negative ? </li></ul>
-9 + 11 Subtract and take the sign of the larger.
- 9 + 11 Positive or Negative ?
<ul><li>8 / -4 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
<ul><li>8 / -4 </li></ul><ul><li>Positive or Negative? </li></ul>
  15 + -10 Subtract and take the sign of the larger.
<ul><li>15 + - 10 </li></ul><ul><li>Positive or Negative? </li></ul>
- 5 – 2 Plus a negative A negative plus a negative is a negative.
<ul><li>- 5 – 2 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>3 (-7) </li></ul><ul><li>A positive times a negative is a negative. </li></ul>
<ul><li>3(-7) </li></ul><ul><li>Positive or Negative ? </li></ul>
  7 – (-7) <ul><li>Slash- Slash  </li></ul><ul><li>A positive plus a positive is a positive.  </li></ul>
  7– (-7) Positive or Negative ?
<ul><li>-18 / 9 </li></ul><ul><li>A negative divided by a positive is a negative. </li></ul>
<ul><li>-18 / 9   </li></ul><ul><li>Positive or Negative ? </li></ul>
<ul><li>-1 + -1 </li></ul>A negative plus a negative is a negative .
<ul><li>- 1 + -1 </li></ul>Positive or Negative?
-10 + 18 Subtract and take the sign of the larger.
-10 + 18 Positive or Negative ?
5 –  1  Plus a negative Subtract and take the sign of the larger.
<ul><li>5 – 1 </li></ul><ul><li>Positive or Negative? </li></ul>
<ul><li>-25 / 5 </li></ul><ul><li>A negative divided by a positive is a negative. </li></ul>
<ul><li>-25 / 5   </li></ul><ul><li>Positive or Negative ? </li></ul>
  8 – (-3) <ul><li>Slash- Slash  </li></ul><ul><li>A positive plus a positive is a positive.  </li></ul>
  8– (-3) Positive or Negative ?
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Choral responding lesson use this one.4

  1. 1. Integers <ul><li>Is the answer ……….. </li></ul><ul><li>POSITIVE or NEGATIVE? </li></ul>+ -
  2. 2. Positive
  3. 3. Negative
  4. 4. Addition Rules <ul><li>A positive plus a positive is a positive. </li></ul><ul><li>A positive plus a negative </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul><ul><li>A negative plus a positive </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul><ul><li>A negative plus a negative is a negative. </li></ul>
  5. 5. Subtraction Rules <ul><li>A positive minus a positive / Plus a negative / Subtract and take the sign of the larger. </li></ul><ul><li>A positive minus a negative / Slash-Slash / Subtract and take the sign of the larger. </li></ul><ul><li>A negative minus a positive / Plus a negative / A negative plus a negative is a negative. </li></ul><ul><li>A negative minus a negative / Slash-Slash / Subtract and take the sign of the larger. </li></ul>
  6. 6. Multiplication Rules <ul><li>A positive times a positive is a positive. </li></ul><ul><li>A positive times a negative is a negative. </li></ul><ul><li>A negative times a positive is a negative. </li></ul><ul><li>A negative times a negative is a positive. </li></ul>
  7. 7. Division Rules <ul><li>A positive divided by a positive is a positive. </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul><ul><li>A negative divided by a positive is a negative. </li></ul><ul><li>A negative divided by a negative is a positive. </li></ul>
  8. 8. -11 + 2 Subtract and take the sign of the larger.
  9. 9. -11 + 2 Positive or Negative ?
  10. 10. 7 + 9 A positive plus a positive is a positive.
  11. 11. <ul><li>7 + 9 </li></ul><ul><li>Positive or Negative ? </li></ul>
  12. 12. 2 – (-5) <ul><li>Slash- Slash </li></ul><ul><li>A positive plus a positive is a positive. </li></ul>
  13. 13. 2 – (-5) Positive or Negative ?
  14. 14. 1 + -6 Subtract and take the sign of the larger.
  15. 15. <ul><li>1 + - 6 </li></ul><ul><li>Positive or Negative? </li></ul>
  16. 16. - 16 + 6 Subtract and take the sign of the larger.
  17. 17. <ul><li>- 16 + 6 </li></ul><ul><li>Positive or Negative? </li></ul>
  18. 18. <ul><li>- 7 + - 4 </li></ul>A negative plus a negative is a negative .
  19. 19. <ul><li>- 7 + - 4 </li></ul>Positive or Negative?
  20. 20. <ul><li>(7)(3) </li></ul>A positive times a positive is a positive.
  21. 21. <ul><li>(7)(3) </li></ul>Positive or Negative?
  22. 22. <ul><li>-27 / -3 </li></ul>A negative divided by a negative is a positive.
  23. 23. <ul><li>-27 / -3 </li></ul>Positive or Negative?
  24. 24. - 1 – 1 Plus a negative A negative plus a negative is a negative.
  25. 25. <ul><li>- 1 – 1 </li></ul><ul><li>Positive or Negative? </li></ul>
  26. 26. <ul><li>6 (-5) </li></ul><ul><li>A positive times a negative is a negative. </li></ul>
  27. 27. <ul><li>6 (- 5) </li></ul><ul><li>Positive or Negative ? </li></ul>
  28. 28. <ul><li>-10/ -5 </li></ul><ul><li>A negative divided by a negative is a positive. </li></ul>
  29. 29. <ul><li>-10 / -5 </li></ul><ul><li>Positive or Negative ? </li></ul>
  30. 30. <ul><li>-8 + 2 </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul>
  31. 31. <ul><li>- 8 + 2 </li></ul><ul><li>Positive or Negative? </li></ul>
  32. 32. <ul><li>10 / -5 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
  33. 33. <ul><li>10 / -5 </li></ul><ul><li>Positive or Negative? </li></ul>
  34. 34. -7 + 1 Subtract and take the sign of the larger.
  35. 35. <ul><li>-7 + 1 </li></ul><ul><li>Positive or Negative ? </li></ul>
  36. 36. <ul><li>12 / -6 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
  37. 37. <ul><li>12 / -6 </li></ul><ul><li>Positive or Negative? </li></ul>
  38. 38. -2 – (-7) <ul><li>Slash- Slash </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul>
  39. 39. -2 – (-7) Positive or Negative ?
  40. 40. 4 + -1 Subtract and take the sign of the larger.
  41. 41. <ul><li>4 + - 1 </li></ul><ul><li>Positive or Negative? </li></ul>
  42. 42. <ul><li>-4 (-6) </li></ul><ul><li>A negative times a negative is a positive. </li></ul>
  43. 43. <ul><li>-4(-6 ) </li></ul><ul><li>Positive or Negative ? </li></ul>
  44. 44. -7 + 9 Subtract and take the sign of the larger.
  45. 45. - 7 + 9 Positive or Negative ?
  46. 46. <ul><li>6 / -3 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
  47. 47. <ul><li>6 / -3 </li></ul><ul><li>Positive or Negative? </li></ul>
  48. 48. 9 + -8 Subtract and take the sign of the larger.
  49. 49. <ul><li>9 + - 8 </li></ul><ul><li>Positive or Negative? </li></ul>
  50. 50. - 6 – 1 Plus a negative A negative plus a negative is a negative.
  51. 51. <ul><li>- 6 – 1 </li></ul><ul><li>Positive or Negative? </li></ul>
  52. 52. <ul><li>1 (-9) </li></ul><ul><li>A positive times a negative is a negative. </li></ul>
  53. 53. <ul><li>1(-9) </li></ul><ul><li>Positive or Negative ? </li></ul>
  54. 54. 4 – (-4) <ul><li>Slash- Slash </li></ul><ul><li>A positive plus a positive is a positive. </li></ul>
  55. 55. 4 – (-4) Positive or Negative ?
  56. 56. <ul><li>-10 / 2 </li></ul><ul><li>A negative divided by a positive is a negative. </li></ul>
  57. 57. <ul><li>-10 / 2 </li></ul><ul><li>Positive or Negative ? </li></ul>
  58. 58. <ul><li>-6 + -7 </li></ul>A negative plus a negative is a negative .
  59. 59. <ul><li>- 6 + -7 </li></ul>Positive or Negative?
  60. 60. -2 + 5 Subtract and take the sign of the larger.
  61. 61. - 2 + 5 Positive or Negative ?
  62. 62. 4 – 2 Plus a negative Subtract and take the sign of the larger.
  63. 63. <ul><li>4 – 2 </li></ul><ul><li>Positive or Negative? </li></ul>
  64. 64. <ul><li>-12 / 4 </li></ul><ul><li>A negative divided by a positive is a negative. </li></ul>
  65. 65. <ul><li>-12 / 4 </li></ul><ul><li>Positive or Negative ? </li></ul>
  66. 66. - 3 + 2 Subtract and take the sign of the larger.
  67. 67. - 3 + 2 Positive or Negative ?
  68. 68. 12 + 1 A positive plus a positive is a positive.
  69. 69. <ul><li>12 + 1 </li></ul><ul><li>Positive or Negative ? </li></ul>
  70. 70. 7 – (-2) <ul><li>Slash- Slash </li></ul><ul><li>A positive plus a positive is a positive. </li></ul>
  71. 71. 7 – (-2) Positive or Negative ?
  72. 72. 3 + -9 Subtract and take the sign of the larger.
  73. 73. <ul><li>3 + - 9 </li></ul><ul><li>Positive or Negative? </li></ul>
  74. 74. - 5 + 1 Subtract and take the sign of the larger.
  75. 75. <ul><li>- 5 + 1 </li></ul><ul><li>Positive or Negative? </li></ul>
  76. 76. <ul><li>- 10 + - 1 </li></ul>A negative plus a negative is a negative .
  77. 77. <ul><li>- 10 + - 1 </li></ul>Positive or Negative?
  78. 78. <ul><li>(4)(3) </li></ul>A positive times a positive is a positive.
  79. 79. <ul><li>(4)(3) </li></ul>Positive or Negative?
  80. 80. <ul><li>-15 / -3 </li></ul>A negative divided by a negative is a positive.
  81. 81. <ul><li>-15 / -3 </li></ul>Positive or Negative?
  82. 82. - 1 – 4 Plus a negative A negative plus a negative is a negative.
  83. 83. <ul><li>-1 – 4 </li></ul><ul><li>Positive or Negative? </li></ul>
  84. 84. <ul><li>7 (-2) </li></ul><ul><li>A positive times a negative is a negative. </li></ul>
  85. 85. <ul><li>7(-2) </li></ul><ul><li>Positive or Negative ? </li></ul>
  86. 86. <ul><li>-4 / -2 </li></ul><ul><li>A negative divided by a negative is a positive. </li></ul>
  87. 87. <ul><li>-4 / -2 </li></ul><ul><li>Positive or Negative ? </li></ul>
  88. 88. <ul><li>-10 + 8 </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul>
  89. 89. <ul><li>- 10 + 8 </li></ul><ul><li>Positive or Negative? </li></ul>
  90. 90. <ul><li>16 / -4 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
  91. 91. <ul><li>16 / -4 </li></ul><ul><li>Positive or Negative? </li></ul>
  92. 92. -8 + 7 Subtract and take the sign of the larger.
  93. 93. <ul><li>-8 + 7 </li></ul><ul><li>Positive or Negative ? </li></ul>
  94. 94. <ul><li>20 / -4 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
  95. 95. <ul><li>20 / -4 </li></ul><ul><li>Positive or Negative? </li></ul>
  96. 96. -2 – (-7) <ul><li>Slash- Slash </li></ul><ul><li>Subtract and take the sign of the larger. </li></ul>
  97. 97. -2 – (-7) Positive or Negative ?
  98. 98. 12 + -3 Subtract and take the sign of the larger.
  99. 99. <ul><li>12 + - 3 </li></ul><ul><li>Positive or Negative? </li></ul>
  100. 100. <ul><li>-6 (-1) </li></ul><ul><li>A negative times a negative is a positive. </li></ul>
  101. 101. <ul><li>-6(-1 ) </li></ul><ul><li>Positive or Negative ? </li></ul>
  102. 102. -9 + 11 Subtract and take the sign of the larger.
  103. 103. - 9 + 11 Positive or Negative ?
  104. 104. <ul><li>8 / -4 </li></ul><ul><li>A positive divided by a negative is a negative. </li></ul>
  105. 105. <ul><li>8 / -4 </li></ul><ul><li>Positive or Negative? </li></ul>
  106. 106. 15 + -10 Subtract and take the sign of the larger.
  107. 107. <ul><li>15 + - 10 </li></ul><ul><li>Positive or Negative? </li></ul>
  108. 108. - 5 – 2 Plus a negative A negative plus a negative is a negative.
  109. 109. <ul><li>- 5 – 2 </li></ul><ul><li>Positive or Negative? </li></ul>
  110. 110. <ul><li>3 (-7) </li></ul><ul><li>A positive times a negative is a negative. </li></ul>
  111. 111. <ul><li>3(-7) </li></ul><ul><li>Positive or Negative ? </li></ul>
  112. 112. 7 – (-7) <ul><li>Slash- Slash </li></ul><ul><li>A positive plus a positive is a positive. </li></ul>
  113. 113. 7– (-7) Positive or Negative ?
  114. 114. <ul><li>-18 / 9 </li></ul><ul><li>A negative divided by a positive is a negative. </li></ul>
  115. 115. <ul><li>-18 / 9 </li></ul><ul><li>Positive or Negative ? </li></ul>
  116. 116. <ul><li>-1 + -1 </li></ul>A negative plus a negative is a negative .
  117. 117. <ul><li>- 1 + -1 </li></ul>Positive or Negative?
  118. 118. -10 + 18 Subtract and take the sign of the larger.
  119. 119. -10 + 18 Positive or Negative ?
  120. 120. 5 – 1 Plus a negative Subtract and take the sign of the larger.
  121. 121. <ul><li>5 – 1 </li></ul><ul><li>Positive or Negative? </li></ul>
  122. 122. <ul><li>-25 / 5 </li></ul><ul><li>A negative divided by a positive is a negative. </li></ul>
  123. 123. <ul><li>-25 / 5 </li></ul><ul><li>Positive or Negative ? </li></ul>
  124. 124. 8 – (-3) <ul><li>Slash- Slash </li></ul><ul><li>A positive plus a positive is a positive. </li></ul>
  125. 125. 8– (-3) Positive or Negative ?

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