Worksheet for practicing addition and subtraction of integers with various problems.

Let's solve each of these integer addition and subtraction problems step by step, keeping track of the signs carefully.

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Rules to Remember:

1. Adding a negative number is the same as subtracting a positive number:
$ a + (-b) = a - b $
2. Subtracting a negative number is the same as adding a positive number:
$ a - (-b) = a + b $
3. When adding or subtracting integers:
- If signs are the same: add absolute values, keep the sign.
- If signs are different: subtract smaller from larger, take the sign of the larger absolute value.

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Now, let’s go through each problem:

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#### Column 1:

1. $ 3 + (-8) = 3 - 8 = -5 $
2. $ 6 - (-4) = 6 + 4 = 10 $
3. $ 6 - 5 = 1 $
4. $ (-8) + (-2) = -8 - 2 = -10 $
5. $ 8 + (-10) = 8 - 10 = -2 $
6. $ 8 - (-2) = 8 + 2 = 10 $
7. $ (-2) + 6 = 4 $ (since 6 > 2, result is positive)
8. $ (-1) - 0 = -1 $
9. $ (-1) - (-2) = -1 + 2 = 1 $
10. $ 7 - 4 = 3 $

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#### Column 2:

11. $ (-9) - (-4) = -9 + 4 = -5 $
12. $ (-4) - (-2) = -4 + 2 = -2 $
13. $ (-2) - 5 = -2 - 5 = -7 $
14. $ 8 + 6 = 14 $
15. $ 2 - (-10) = 2 + 10 = 12 $
16. $ 1 - (-7) = 1 + 7 = 8 $
17. $ (-4) - 4 = -8 $
18. $ 7 - 5 = 2 $
19. $ (-5) - (-6) = -5 + 6 = 1 $
20. $ (-2) + 5 = 3 $

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#### Column 3:

21. $ 7 - 5 = 2 $
22. $ (-4) - 10 = -14 $
23. $ (-2) - 7 = -9 $
24. $ (-9) + 10 = 1 $
25. $ 8 - 5 = 3 $
26. $ 4 + 2 = 6 $
27. $ 9 - (-7) = 9 + 7 = 16 $
28. $ (-5) + (-10) = -15 $
29. $ 9 - (-9) = 9 + 9 = 18 $
30. $ (-4) - (-10) = -4 + 10 = 6 $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. $ 3 + (-8) $ | $ -5 $ |
| 2. $ 6 - (-4) $ | $ 10 $ |
| 3. $ 6 - 5 $ | $ 1 $ |
| 4. $ (-8) + (-2) $ | $ -10 $ |
| 5. $ 8 + (-10) $ | $ -2 $ |
| 6. $ 8 - (-2) $ | $ 10 $ |
| 7. $ (-2) + 6 $ | $ 4 $ |
| 8. $ (-1) - 0 $ | $ -1 $ |
| 9. $ (-1) - (-2) $ | $ 1 $ |
| 10. $ 7 - 4 $ | $ 3 $ |
| 11. $ (-9) - (-4) $ | $ -5 $ |
| 12. $ (-4) - (-2) $ | $ -2 $ |
| 13. $ (-2) - 5 $ | $ -7 $ |
| 14. $ 8 + 6 $ | $ 14 $ |
| 15. $ 2 - (-10) $ | $ 12 $ |
| 16. $ 1 - (-7) $ | $ 8 $ |
| 17. $ (-4) - 4 $ | $ -8 $ |
| 18. $ 7 - 5 $ | $ 2 $ |
| 19. $ (-5) - (-6) $ | $ 1 $ |
| 20. $ (-2) + 5 $ | $ 3 $ |
| 21. $ 7 - 5 $ | $ 2 $ |
| 22. $ (-4) - 10 $ | $ -14 $ |
| 23. $ (-2) - 7 $ | $ -9 $ |
| 24. $ (-9) + 10 $ | $ 1 $ |
| 25. $ 8 - 5 $ | $ 3 $ |
| 26. $ 4 + 2 $ | $ 6 $ |
| 27. $ 9 - (-7) $ | $ 16 $ |
| 28. $ (-5) + (-10) $ | $ -15 $ |
| 29. $ 9 - (-9) $ | $ 18 $ |
| 30. $ (-4) - (-10) $ | $ 6 $ |

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🔍 Summary Tips:

- Always look for double negatives: $ -(-x) = +x $
- Think in terms of movement on a number line: adding moves right, subtracting moves left.
- Keep track of signs — they’re crucial!

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