Add and Subtract Integers worksheet with 33 problems and a challenge section.

Sure! Let’s solve each problem step by step. The worksheet is titled “Add and Subtract Integers”, and we’ll find each sum or difference using the rules of integer arithmetic.

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🔢 Rules to Remember:

- Same signs: Add the absolute values, keep the sign.
- Different signs: Subtract the smaller absolute value from the larger one, keep the sign of the number with the larger absolute value.
- Subtracting a negative is the same as adding a positive: `a - (-b) = a + b`
- Adding a negative is the same as subtracting: `a + (-b) = a - b`

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## ✔ Problems 1–27:

1. –8 + 3 =
→ Different signs: |–8| = 8, |3| = 3 → 8 – 3 = 5 → Sign of larger number (–8) → –5

2. 3 – 9 =
→ Same as 3 + (–9) → Different signs → 9 – 3 = 6 → Sign of –9 → –6

3. –3 – (–3) =
→ –3 + 3 = 0

4. –7 + (–4) =
→ Both negative → 7 + 4 = 11 → –11

5. 7 + (–6) =
→ Different signs → 7 – 6 = 1 → Sign of 7 → 1

6. 4 – (–2) =
→ 4 + 2 = 6

7. –2 + (–9) =
→ Both negative → 2 + 9 = 11 → –11

8. –3 – 3 =
→ –3 + (–3) = –6

9. 4 – (–5) =
→ 4 + 5 = 9

10. –12 + (–7) =
→ Both negative → 12 + 7 = 19 → –19

11. 3 – 18 =
→ 3 + (–18) → Different signs → 18 – 3 = 15 → Sign of –18 → –15

12. –11 + 15 =
→ Different signs → 15 – 11 = 4 → Sign of 15 → 4

13. –20 – (–10) =
→ –20 + 10 = → Different signs → 20 – 10 = 10 → Sign of –20 → –10

14. –21 + (–20) =
→ Both negative → 21 + 20 = 41 → –41

15. –43 + 17 =
→ Different signs → 43 – 17 = 26 → Sign of –43 → –26

16. –47 – (–52) =
→ –47 + 52 = → Different signs → 52 – 47 = 5 → Sign of 52 → 5

17. –71 + (–60) =
→ Both negative → 71 + 60 = 131 → –131

18. 17 – 62 =
→ 17 + (–62) → Different signs → 62 – 17 = 45 → Sign of –62 → –45

19. 38 + (–65) =
→ Different signs → 65 – 38 = 27 → Sign of –65 → –27

20. 30 – (–16) =
→ 30 + 16 = 46

21. –22 – (–36) =
→ –22 + 36 = → Different signs → 36 – 22 = 14 → Sign of 36 → 14

22. –54 + 70 =
→ Different signs → 70 – 54 = 16 → Sign of 70 → 16

23. –18 – 35 =
→ –18 + (–35) = → Both negative → 18 + 35 = 53 → –53

24. 72 – (–11) =
→ 72 + 11 = 83

25. –82 + 12 =
→ Different signs → 82 – 12 = 70 → Sign of –82 → –70

26. 94 + (–64) =
→ Different signs → 94 – 64 = 30 → Sign of 94 → 30

27. –78 – 42 =
→ –78 + (–42) = → Both negative → 78 + 42 = 120 → –120

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## 🌟 Challenge Section (Problems 28–33):

28. –17 + 14 + (–8) =
→ First: –17 + 14 = –3
→ Then: –3 + (–8) = –11

29. 16 + (–7) + (–6) =
→ 16 – 7 = 9
→ 9 – 6 = 3

30. 17 + (–13) + 18 =
→ 17 – 13 = 4
→ 4 + 18 = 22

31. 9 – (–6) – 8 =
→ 9 + 6 = 15
→ 15 – 8 = 7

32. –2 + 15 – (–1) =
→ –2 + 15 = 13
→ 13 + 1 = 14

33. –11 – 8 – (–2) =
→ –11 – 8 = –19
→ –19 + 2 = –17

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## ✔ Final Answers:

Problems 1–27:

1. –5
2. –6
3. 0
4. –11
5. 1
6. 6
7. –11
8. –6
9. 9
10. –19
11. –15
12. 4
13. –10
14. –41
15. –26
16. 5
17. –131
18. –45
19. –27
20. 46
21. 14
22. 16
23. –53
24. 83
25. –70
26. 30
27. –120

Challenge Problems 28–33:

28. –11
29. 3
30. 22
31. 7
32. 14
33. –17

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