Adding - Subtracting Integers worksheet - Free Printable

Problem: Addition and Subtraction of Integers

We are tasked with solving the given problems involving addition and subtraction of integers. Let's solve each problem step by step.

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#### Part 1: Find each sum

1. (−5) + (−5) + 1
- Add the first two numbers: \( -5 + (-5) = -10 \)
- Add the result to 1: \( -10 + 1 = -9 \)
- Answer: \(-9\)

2. 1 + (−3) + 11
- Add the first two numbers: \( 1 + (-3) = -2 \)
- Add the result to 11: \( -2 + 11 = 9 \)
- Answer: \(9\)

3. (−9) + 4 + 7
- Add the first two numbers: \( -9 + 4 = -5 \)
- Add the result to 7: \( -5 + 7 = 2 \)
- Answer: \(2\)

4. (−12) + 4 + 8
- Add the first two numbers: \( -12 + 4 = -8 \)
- Add the result to 8: \( -8 + 8 = 0 \)
- Answer: \(0\)

5. 3 + (−10) + 6
- Add the first two numbers: \( 3 + (-10) = -7 \)
- Add the result to 6: \( -7 + 6 = -1 \)
- Answer: \(-1\)

6. (−3) + 3 + 12
- Add the first two numbers: \( -3 + 3 = 0 \)
- Add the result to 12: \( 0 + 12 = 12 \)
- Answer: \(12\)

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#### Part 2: Find each difference

7. (−4) − (−8) − 2
- Subtracting a negative is the same as adding a positive: \( -4 - (-8) = -4 + 8 = 4 \)
- Subtract 2 from the result: \( 4 - 2 = 2 \)
- Answer: \(2\)

8. (−2) − (−1) − (−7)
- Simplify each subtraction:
- \( -2 - (-1) = -2 + 1 = -1 \)
- \( -1 - (-7) = -1 + 7 = 6 \)
- Answer: \(6\)

9. 2 − (−5) − 3
- Simplify each subtraction:
- \( 2 - (-5) = 2 + 5 = 7 \)
- \( 7 - 3 = 4 \)
- Answer: \(4\)

10. (−7) − (−7) − 4
- Simplify each subtraction:
- \( -7 - (-7) = -7 + 7 = 0 \)
- \( 0 - 4 = -4 \)
- Answer: \(-4\)

11. (−6) − 4 − (−4)
- Simplify each subtraction:
- \( -6 - 4 = -10 \)
- \( -10 - (-4) = -10 + 4 = -6 \)
- Answer: \(-6\)

12. (−8) − (−8) − 5
- Simplify each subtraction:
- \( -8 - (-8) = -8 + 8 = 0 \)
- \( 0 - 5 = -5 \)
- Answer: \(-5\)

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Final Answers:

1. \(-9\)
2. \(9\)
3. \(2\)
4. \(0\)
5. \(-1\)
6. \(12\)
7. \(2\)
8. \(6\)
9. \(4\)
10. \(-4\)
11. \(-6\)
12. \(-5\)

Boxed Final Answer:
\[
\boxed{-9, 9, 2, 0, -1, 12, 2, 6, 4, -4, -6, -5}
\]