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

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Presentation on theme: "7 6 5 4 3 2 1 0 -2 -3 -4 -5 -6 -7 -8 Same Signs Different Signs 1) + 3 + 4 =+7 Objective- To solve problems involving operations with integers. Combining."— Presentation transcript:

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

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

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

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

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

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

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

8 Objective- To solve problems involving operations with integers. 7 6 5 4 3 2 1 0 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Different Signs 1) + 3 + 4 =+7 2) - 2 + -4 =-6 3) 1 + 5 =+6 4) -5 + -3 =-8 Sum of the numbers 5) 5 + 9 = 6) - 3 + -13 = 7) 4 + 6 = 8) -6 + -7 = +14 -16 +10 -13 1) - 3 + 4 = -5 +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 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Different Signs 1) + 3 + 4 =+7 2) - 2 + -4 =-6 3) 1 + 5 =+6 4) -5 + -3 =-8 Sum of the numbers 5) 5 + 9 = 6) - 3 + - 13 = 7) 4 + 6 = 8) -6 + -7 = +14 -16 +10 -13 1) - 3 + 4 = +5 -12 +1 2) 2 + -4 =-2 3) -5 + 1 =-4 4) 5 + -12 =-7 Difference of the numbers

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

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

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

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

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

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

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

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