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Adding and Subtracting Integers (Positive and Negative Numbers ... - Free Printable

Adding and Subtracting Integers (Positive and Negative Numbers ...

Educational worksheet: Adding and Subtracting Integers (Positive and Negative Numbers .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Adding and Subtracting Integers (Positive and Negative Numbers ...
Let’s solve each problem step by step. We’re adding or subtracting integers — that means positive and negative whole numbers.

We’ll go one by one:

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1. 5 + (-2)
Adding a negative is like subtracting:
5 - 2 = 3

Answer: 3

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2. 8 + 5
Simple addition:
8 + 5 = 13

Answer: 13

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3. -6 + (-4)
Adding two negatives: add their absolute values, keep the negative sign.
6 + 4 = 10 → so -10

Answer: -10

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4. 7 + (-9)
This is 7 - 9. Since 9 > 7, answer is negative:
9 - 7 = 2 → so -2

Answer: -2

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5. 3 + (-10)
3 - 10 = -7 (because 10 - 3 = 7, and we’re subtracting more)

Answer: -7

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6. -8 + (-6)
Add absolute values: 8 + 6 = 14 → keep negative → -14

Answer: -14

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7. 7 - (-8)
Subtracting a negative is like adding:
7 + 8 = 15

Answer: 15

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8. -6 - (-12)
Again, subtracting negative = adding:
-6 + 12 = 6 (since 12 - 6 = 6, and 12 is bigger and positive)

Answer: 6

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9. 7 - (-11)
= 7 + 11 = 18

Answer: 18

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10. -2 - (-1)
= -2 + 1 = -1 (start at -2, move right 1 → -1)

Answer: -1

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11. 11 - (-9)
= 11 + 9 = 20

Answer: 20

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12. (-11) - (8 - 7)
First do inside parentheses: 8 - 7 = 1
Then: -11 - 1 = -12

Answer: -12

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13. (-2) - (-3) + 5
Step 1: (-2) - (-3) = -2 + 3 = 1
Step 2: 1 + 5 = 6

Answer: 6

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14. -9 - (-2) - (-5)
Convert subtractions of negatives to additions:
-9 + 2 + 5
Now compute left to right:
-9 + 2 = -7
-7 + 5 = -2

Answer: -2

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15. (-2) - [(-3) + 1]
First inside brackets: (-3) + 1 = -2
Then: (-2) - (-2) = -2 + 2 = 0

Answer: 0

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All answers checked carefully.

Final Answer:
1. 3
2. 13
3. -10
4. -2
5. -7
6. -14
7. 15
8. 6
9. 18
10. -1
11. 20
12. -12
13. 6
14. -2
15. 0
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting negative integers worksheet.
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