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Colorful worksheet for practicing addition and subtraction of integers, emphasizing the importance of signs.

Worksheet titled "Adding and Subtracting Integers" with math problems involving positive and negative numbers, featuring a decorative background with geometric shapes.

Worksheet titled "Adding and Subtracting Integers" with math problems involving positive and negative numbers, featuring a decorative background with geometric shapes.

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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 = 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:



| 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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All problems solved! Let me know if you'd like this in printable format or explained further.
Parent Tip: Review the logic above to help your child master the concept of add and subtract integers worksheet pdf.
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