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.

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

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

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#### 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 $

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✔ Final Answers (in order):

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

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📌 Summary:

Always pay attention to the signs:
- Subtracting a negative becomes adding a positive.
- Adding a negative becomes subtracting a positive.
- Combine like terms carefully based on their signs.

Let me know if you'd like this in a printable format!