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Objective- To solve problems involving operations with integers.

Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8. Combining Integers. +4. Same Signs. 1) + 3 + 4 =. +7. +3. Different Signs. Objective- To solve problems involving operations with integers. 7 6 5 4 3

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Objective- To solve problems involving operations with integers.

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  1. Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers +4 Same Signs 1) + 3 + 4 = +7 +3 Different Signs

  2. Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs 1) + 3 + 4 = +7 2) - 2 + -4 = -6 -2 Different Signs -4

  3. Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs +5 1) + 3 + 4 = +7 2) - 2 + -4 = -6 +1 3) 1 + 5 = +6 Different Signs

  4. Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Sum of the numbers 1) + 3 + 4 = +7 2) - 2 + -4 = -6 3) 1 + 5 = +6 4) -5 + -3 = -8 -5 Different Signs -3

  5. Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Sum of the numbers 1) + 3 + 4 = +7 5) 5 + 9 = +14 2) -2 + -4 = -6 6) - 3 + -13 = -16 3) 1 + 5 = +6 7) 4 + 6 = +10 4) -5 + -3 = -8 8) -6 + -7 = -13 Different Signs

  6. Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Sum of the numbers 1) + 3 + 4 = +7 5) 5 + 9 = +14 2) - 2 + -4 = -6 6) - 3 + -13 = -16 3) 1 + 5 = +6 7) 4 + 6 = +10 +4 -3 4) -5 + -3 = -8 8) -6 + -7 = -13 Different Signs 1) - 3 + 4 = +1

  7. Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Sum of the numbers 1) + 3 + 4 = +7 5) 5 + 9 = +14 2) - 2 + - 4 = -6 6) – 3 + -13 = -16 +2 -4 3) 1 + 5 = +6 7) 4 + 6 = +10 4) -5 + -3 = -8 8) -6 + -7 = -13 Different Signs 1) - 3 + 4 = +1 2) 2 + -4 = -2

  8. Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Sum of the numbers 1) + 3 + 4 = +7 5) 5 + 9 = +14 2) - 2 + -4 = -6 6) - 3 + -13 = -16 3) 1 + 5 = +6 7) 4 + 6 = +10 4) -5 + -3 = -8 8) -6 + -7 = -13 -5 Different Signs 1) - 3 + 4 = +1 +1 2) 2 + -4 = -2 3) -5 + 1 = -4

  9. Objective- To add integers using properties of real numbers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Sum of the numbers 1) + 3 + 4 = +7 5) 5 + 9 = +14 +5 2) - 2 + -4 = -6 6) - 3 + - 13 = -16 3) 1 + 5 = +6 7) 4 + 6 = +10 -12 4) -5 + -3 = -8 8) -6 + -7 = -13 Different Signs Difference of the numbers 1) - 3 + 4 = +1 2) 2 + -4 = -2 3) -5 + 1 = -4 4) 5 + -12 = -7

  10. Objective- To add integers using properties of real numbers. 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Sum of the numbers 1) + 3 + 4 = +7 5) 5 + 9 = +14 2) - 2 + -4 = -6 6) - 3 + -13 = -16 3) 1 + 5 = +6 7) 4 + 6 = +10 4) -5 + -3 = -8 8) -6 + -7 = -13 Different Signs Difference of the numbers 1) - 3 + 4 = +1 5) - 8 + 3 = -5 2) 2 + -4 = -2 6) 6 + -13 = -7 3) -5 + 1 = -4 7) -9 + 15 = +6 4) 5 + -12 = -7 8) 11 + -4 = +7

  11. Combine the following integers. +4 -8 1) -6 + 10 = 8) -2 + -6 = 2) 4 + -9 = -5 9) 7 + -5 = +2 -9 -17 3) -2 + -7 = 10) -9 + -8 = +14 -2 4) 6 + 8 = 11) -6 + 4 = +9 +17 5) -3 + 12 = 12) -2 + 19 = 6) -4 + -13 = -17 13) -8 + -32 = -40 7) 5 + -18 = -13 14) 15 + -4 = +11

  12. Rewrite the subtraction by adding the opposite. Simplify. 1) 6 - 2 2) -4 - (-10) Objective - To subtract integers. To subtract an integer is to add its opposite. a - b = a + -b COPY, CHANGE, CHANGE 7 - 10 = 7 + -10 8 - (-5) = 8 + 5 = 6 + -2 = 4 = -4 + (10) = 6

  13. Simplify the following. 1) -8 - -5 = 7) -6 - -14 = -3 8 -8 + 5 = -6 + 14 = 2) 14 - -7 = 8) -7 - -7 = 21 0 14 + 7 = -7 + 7 = 3) -6 - 5 = 9) 9 - 6 - -7 = -11 10 -6 + -5 = 9 + -6 + 7 = 4) -4 - -11 = 10) -4 - -9 - 3 = 7 2 -4 + 11 = -4 + 9 + -3 = 5) -7 + -2 = -9 11) -13 + -2 - -1 = -14 -13 + -2 + 1 = 6) 3 - -7 = 12) 6 - -3 - 5 = 10 4 3 + 7 = 6 + 3 + -5 =

  14. Combine the following integers. 7 -8 1) -3 - - 10 = 8) -14 - - 6 = -3 + 10 -14 + 6 2) 6 - - 9 = 15 9) 7 - - 5 = 12 6 + 9 7 + 5 -11 -15 3) -4 +-7 = 10) -7 +-8 = -2 -2 4) 6 - 8 = 11) -6 - - 4 = 6 + -8 -6 + 4 9 11 5) -3 - - 12 = 12) -5 + 16 = -3 + 12 6) -7 - 12 = -19 13) -17 -- 12 = -5 -7 + -12 -17 + 12 7) 5 - -18 = 23 14) 13 -- 4 = 17 5 + 18 13 + 4

  15. Combine the following integers mentally. 1) -8 + 3 - 5 = = -5 + -5 = -10 -5 - 5 2) 6 + 4 - 2 = 10 - 2 = 8 3) -2 - 5 + 6 = -7 + 6 = -1 4) 3 - 5 - 8 = -2 -8 = -2 + -8 = -10 5) 7 - 4 + 9 - 5 = 3 + 9 - 5 12 -5 = 7

  16. Evaluate the expression when x = -3 1) 4) = -3 + -5 3 + -5 2) 5) = |5 + 3| 5 + 3 3) 6) = |-3 + -5|

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