Adding and Subtracting Integers worksheet for 3 - Free Printable

Let's solve each of these integer addition and subtraction problems step by step, following the rules for working with positive and negative numbers.

---

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:
- Same signs: Add absolute values, keep the sign.
- Different signs: Subtract smaller absolute value from larger, take the sign of the larger.

---

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 = 6 - 2 = 4 $
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 = -4 - 4 = -8 $
18. $ 7 - 5 = 2 $
19. $ (-5) - (-6) = -5 + 6 = 1 $
20. $ (-2) + 5 = 5 - 2 = 3 $

---

Column 3:

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

---

✔ Final Answers (organized):

| 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 $ |

---

✔ All answers are correct!
Remember: Always pay attention to the signs, especially when subtracting negatives — it becomes addition!

Let me know if you'd like this in printable format or need explanations for any specific problem!