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Math worksheet for practicing addition and subtraction of integers with various problems and a colorful design.

Worksheet titled "Adding and Subtracting Integers" with math problems involving positive and negative numbers, instructional text, and colorful geometric background design.

Worksheet titled "Adding and Subtracting Integers" with math problems involving positive and negative numbers, instructional text, and colorful geometric background design.

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Show Answer Key & Explanations Step-by-step solution for: Adding and Subtracting Integers worksheet for 3
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 = 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:



Column 1:
1. $-5$
2. $10$
3. $1$
4. $-10$
5. $-2$
6. $10$
7. $4$
8. $-1$
9. $1$
10. $3$

Column 2:
11. $-5$
12. $-2$
13. $-7$
14. $14$
15. $12$
16. $8$
17. $-8$
18. $2$
19. $1$
20. $3$

Column 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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All solved! Let me know if you'd like this formatted as a worksheet answer key.
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting integer worksheet.
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