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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.

Published byErick Burns Modified over 8 years ago

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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 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 Objective- To solve problems involving operations with integers.

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 solve problems involving operations with integers.

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 -5 + 8 = -5 - 8 = +5 + 8 = +5 - 8 = +3+3 -13 +13 -3 -2 + 9 = -2 - 9 = +2 + 9 = +2 - 9 = +7+7 -11 +11 -7 -3 + 5 = -3 - 5 = +3 + 5 = +3 - 5 = +2+2 -8 +8+8 -2 -15 + 6 = -15 - 6 = +15 + 6 = +15 - 6 = -9 -21 +21 +9+9

13 Combine the following rational numbers.

14

15 Additive Inverses Additive Inverse= Opposite. For every rational number a, there is one and only one rational number -a such that a + (-a) = 0. Find the additive inverse for each rational number.

16 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

17 Combine the following integers mentally. 1) 2 + 3 - 7 + 4 = 2) -3 + 5 - 4 + 9 = 3) 8 - 9 - 2 + 7 = 4) 2 + 3 - 6 - 8 = 5) 5 - 11 + 3 - 8 = 9- 7= 2 -7+ 14= 7 15- 11= 4 5- 14= -9 8- 19= -11

18 Inverse of the Inverse Double negatives are positive just like in English. “Not wrong” = “Right” Find -x when x = 1) 4 2) -6 3) 7 4) -3 -(4) = -4 -(-6) = +6= +6 -(7) = -7 -(-3) = +3= +3 Find -(-x) when x = 5) 8 6) -13 7) -2 8) 1 -(-8) = +8= +8 -(-(-13)) = -13 -(-(-2)) = -2 -(-1) = +1= +1

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