Practice sheet for adding and subtracting integers with various problems and clear instructions.

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

---

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.

---

Now, let’s go through each problem:

---

#### 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 $

---

#### 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 $

---

#### 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 $

---

✔ 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 $ |

---

🔍 Summary Tips:

- Always look for double negatives: $ -(-x) = +x $
- Think in terms of movement on a number line.
- Keep track of signs before doing arithmetic.

Let me know if you'd like this formatted as a printable worksheet!