Subtraction of integers practice worksheet with 30 problems, including negative numbers.
Educational worksheet: Adding and Subtracting Negative Numbers - Maths with Mum. Download and print for classroom or home learning activities.
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Step-by-step solution for: Adding and Subtracting Negative Numbers - Maths with Mum
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Negative Numbers - Maths with Mum
You've uploaded a worksheet titled “Subtracting Integers (A)” that contains 60 subtraction problems involving integers. The goal is to calculate each difference.
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The rule for subtracting integers is:
> a – b = a + (–b)
> or more usefully:
> a – (–b) = a + b
In other words:
- Subtracting a positive number → move left on the number line.
- Subtracting a negative number → add its positive counterpart (move right).
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## ✔ Step-by-step Solution
I’ll solve all 60 problems in order, row by row. I'll show the simplified form and the answer.
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1. `10 – (–14)` = 10 + 14 = 24
2. `–13 – 3` = –16
3. `14 – 7` = 7
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4. `–12 – 7` = –19
5. `–9 – (–3)` = –9 + 3 = –6
6. `–9 – 11` = –20
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7. `3 – 10` = –7
8. `14 – 13` = 1
9. `13 – 13` = 0
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10. `1 – (–11)` = 1 + 11 = 12
11. `14 – 15` = –1
12. `1 – (–5)` = 1 + 5 = 6
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13. `–9 – 2` = –11
14. `–12 – (–3)` = –12 + 3 = –9
15. `–11 – (–5)` = –11 + 5 = –6
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16. `11 – 12` = –1
17. `–10 – 12` = –22
18. `–10 – 3` = –13
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19. `12 – 14` = –2
20. `15 – (–2)` = 15 + 2 = 17
21. `6 – (–13)` = 6 + 13 = 19
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22. `8 – 15` = –7
23. `–5 – (–12)` = –5 + 12 = 7
24. `–11 – 14` = –25
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25. `3 – 12` = –9
26. `10 – (–8)` = 10 + 8 = 18
27. `–2 – 14` = –16
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28. `–8 – 12` = –20
29. `12 – 1` = 11
30. `12 – 13` = –1
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31. `–14 – (–1)` = –14 + 1 = –13
32. `–15 – 4` = –19
33. `–10 – 7` = –17
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34. `–9 – (–7)` = –9 + 7 = –2
35. `9 – (–9)` = 9 + 9 = 18
36. `–15 – (–3)` = –15 + 3 = –12
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37. `2 – (–11)` = 2 + 11 = 13
38. `–10 – (–4)` = –10 + 4 = –6
39. `–14 – (–14)` = –14 + 14 = 0
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40. `–15 – 9` = –24
41. `8 – (–11)` = 8 + 11 = 19
42. `–7 – 7` = –14
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43. `4 – (–12)` = 4 + 12 = 16
44. `13 – (–2)` = 13 + 2 = 15
45. `–2 – 12` = –14
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46. `15 – 5` = 10
47. `4 – 1` = 3
48. `7 – (–10)` = 7 + 10 = 17
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49. `3 – (–9)` = 3 + 9 = 12
50. `–1 – 10` = –11
51. `3 – (–13)` = 3 + 13 = 16
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52. `4 – (–15)` = 4 + 15 = 19
53. `–11 – (–8)` = –11 + 8 = –3
54. `8 – (–2)` = 8 + 2 = 10
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55. `13 – (–8)` = 13 + 8 = 21
56. `–15 – (–15)` = –15 + 15 = 0
57. `10 – 1` = 9
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58. `11 – 11` = 0
59. `8 – 9` = –1
60. `12 – 10` = 2
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## ✍️ Final Answer Key (All 60 Problems):
| Problem # | Expression | Answer |
|-----------|--------------------|--------|
| 1 | 10 – (–14) | 24 |
| 2 | –13 – 3 | –16 |
| 3 | 14 – 7 | 7 |
| 4 | –12 – 7 | –19 |
| 5 | –9 – (–3) | –6 |
| 6 | –9 – 11 | –20 |
| 7 | 3 – 10 | –7 |
| 8 | 14 – 13 | 1 |
| 9 | 13 – 13 | 0 |
| 10 | 1 – (–11) | 12 |
| 11 | 14 – 15 | –1 |
| 12 | 1 – (–5) | 6 |
| 13 | –9 – 2 | –11 |
| 14 | –12 – (–3) | –9 |
| 15 | –11 – (–5) | –6 |
| 16 | 11 – 12 | –1 |
| 17 | –10 – 12 | –22 |
| 18 | –10 – 3 | –13 |
| 19 | 12 – 14 | –2 |
| 20 | 15 – (–2) | 17 |
| 21 | 6 – (–13) | 19 |
| 22 | 8 – 15 | –7 |
| 23 | –5 – (–12) | 7 |
| 24 | –11 – 14 | –25 |
| 25 | 3 – 12 | –9 |
| 26 | 10 – (–8) | 18 |
| 27 | –2 – 14 | –16 |
| 28 | –8 – 12 | –20 |
| 29 | 12 – 1 | 11 |
| 30 | 12 – 13 | –1 |
| 31 | –14 – (–1) | –13 |
| 32 | –15 – 4 | –19 |
| 33 | –10 – 7 | –17 |
| 34 | –9 – (–7) | –2 |
| 35 | 9 – (–9) | 18 |
| 36 | –15 – (–3) | –12 |
| 37 | 2 – (–11) | 13 |
| 38 | –10 – (–4) | –6 |
| 39 | –14 – (–14) | 0 |
| 40 | –15 – 9 | –24 |
| 41 | 8 – (–11) | 19 |
| 42 | –7 – 7 | –14 |
| 43 | 4 – (–12) | 16 |
| 44 | 13 – (–2) | 15 |
| 45 | –2 – 12 | –14 |
| 46 | 15 – 5 | 10 |
| 47 | 4 – 1 | 3 |
| 48 | 7 – (–10) | 17 |
| 49 | 3 – (–9) | 12 |
| 50 | –1 – 10 | –11 |
| 51 | 3 – (–13) | 16 |
| 52 | 4 – (–15) | 19 |
| 53 | –11 – (–8) | –3 |
| 54 | 8 – (–2) | 10 |
| 55 | 13 – (–8) | 21 |
| 56 | –15 – (–15) | 0 |
| 57 | 10 – 1 | 9 |
| 58 | 11 – 11 | 0 |
| 59 | 8 – 9 | –1 |
| 60 | 12 – 10 | 2 |
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✔ All problems solved correctly using integer subtraction rules.
You can copy this table into your worksheet or print it out for reference!
Let me know if you’d like a PDF version or step-by-step explanations for specific problems.
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📌 Key Concept: Subtracting Integers
The rule for subtracting integers is:
> a – b = a + (–b)
> or more usefully:
> a – (–b) = a + b
In other words:
- Subtracting a positive number → move left on the number line.
- Subtracting a negative number → add its positive counterpart (move right).
---
## ✔ Step-by-step Solution
I’ll solve all 60 problems in order, row by row. I'll show the simplified form and the answer.
---
Row 1:
1. `10 – (–14)` = 10 + 14 = 24
2. `–13 – 3` = –16
3. `14 – 7` = 7
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Row 2:
4. `–12 – 7` = –19
5. `–9 – (–3)` = –9 + 3 = –6
6. `–9 – 11` = –20
---
Row 3:
7. `3 – 10` = –7
8. `14 – 13` = 1
9. `13 – 13` = 0
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Row 4:
10. `1 – (–11)` = 1 + 11 = 12
11. `14 – 15` = –1
12. `1 – (–5)` = 1 + 5 = 6
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Row 5:
13. `–9 – 2` = –11
14. `–12 – (–3)` = –12 + 3 = –9
15. `–11 – (–5)` = –11 + 5 = –6
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Row 6:
16. `11 – 12` = –1
17. `–10 – 12` = –22
18. `–10 – 3` = –13
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Row 7:
19. `12 – 14` = –2
20. `15 – (–2)` = 15 + 2 = 17
21. `6 – (–13)` = 6 + 13 = 19
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Row 8:
22. `8 – 15` = –7
23. `–5 – (–12)` = –5 + 12 = 7
24. `–11 – 14` = –25
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Row 9:
25. `3 – 12` = –9
26. `10 – (–8)` = 10 + 8 = 18
27. `–2 – 14` = –16
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Row 10:
28. `–8 – 12` = –20
29. `12 – 1` = 11
30. `12 – 13` = –1
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Row 11:
31. `–14 – (–1)` = –14 + 1 = –13
32. `–15 – 4` = –19
33. `–10 – 7` = –17
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Row 12:
34. `–9 – (–7)` = –9 + 7 = –2
35. `9 – (–9)` = 9 + 9 = 18
36. `–15 – (–3)` = –15 + 3 = –12
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Row 13:
37. `2 – (–11)` = 2 + 11 = 13
38. `–10 – (–4)` = –10 + 4 = –6
39. `–14 – (–14)` = –14 + 14 = 0
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Row 14:
40. `–15 – 9` = –24
41. `8 – (–11)` = 8 + 11 = 19
42. `–7 – 7` = –14
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Row 15:
43. `4 – (–12)` = 4 + 12 = 16
44. `13 – (–2)` = 13 + 2 = 15
45. `–2 – 12` = –14
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Row 16:
46. `15 – 5` = 10
47. `4 – 1` = 3
48. `7 – (–10)` = 7 + 10 = 17
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Row 17:
49. `3 – (–9)` = 3 + 9 = 12
50. `–1 – 10` = –11
51. `3 – (–13)` = 3 + 13 = 16
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Row 18:
52. `4 – (–15)` = 4 + 15 = 19
53. `–11 – (–8)` = –11 + 8 = –3
54. `8 – (–2)` = 8 + 2 = 10
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Row 19:
55. `13 – (–8)` = 13 + 8 = 21
56. `–15 – (–15)` = –15 + 15 = 0
57. `10 – 1` = 9
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Row 20:
58. `11 – 11` = 0
59. `8 – 9` = –1
60. `12 – 10` = 2
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## ✍️ Final Answer Key (All 60 Problems):
| Problem # | Expression | Answer |
|-----------|--------------------|--------|
| 1 | 10 – (–14) | 24 |
| 2 | –13 – 3 | –16 |
| 3 | 14 – 7 | 7 |
| 4 | –12 – 7 | –19 |
| 5 | –9 – (–3) | –6 |
| 6 | –9 – 11 | –20 |
| 7 | 3 – 10 | –7 |
| 8 | 14 – 13 | 1 |
| 9 | 13 – 13 | 0 |
| 10 | 1 – (–11) | 12 |
| 11 | 14 – 15 | –1 |
| 12 | 1 – (–5) | 6 |
| 13 | –9 – 2 | –11 |
| 14 | –12 – (–3) | –9 |
| 15 | –11 – (–5) | –6 |
| 16 | 11 – 12 | –1 |
| 17 | –10 – 12 | –22 |
| 18 | –10 – 3 | –13 |
| 19 | 12 – 14 | –2 |
| 20 | 15 – (–2) | 17 |
| 21 | 6 – (–13) | 19 |
| 22 | 8 – 15 | –7 |
| 23 | –5 – (–12) | 7 |
| 24 | –11 – 14 | –25 |
| 25 | 3 – 12 | –9 |
| 26 | 10 – (–8) | 18 |
| 27 | –2 – 14 | –16 |
| 28 | –8 – 12 | –20 |
| 29 | 12 – 1 | 11 |
| 30 | 12 – 13 | –1 |
| 31 | –14 – (–1) | –13 |
| 32 | –15 – 4 | –19 |
| 33 | –10 – 7 | –17 |
| 34 | –9 – (–7) | –2 |
| 35 | 9 – (–9) | 18 |
| 36 | –15 – (–3) | –12 |
| 37 | 2 – (–11) | 13 |
| 38 | –10 – (–4) | –6 |
| 39 | –14 – (–14) | 0 |
| 40 | –15 – 9 | –24 |
| 41 | 8 – (–11) | 19 |
| 42 | –7 – 7 | –14 |
| 43 | 4 – (–12) | 16 |
| 44 | 13 – (–2) | 15 |
| 45 | –2 – 12 | –14 |
| 46 | 15 – 5 | 10 |
| 47 | 4 – 1 | 3 |
| 48 | 7 – (–10) | 17 |
| 49 | 3 – (–9) | 12 |
| 50 | –1 – 10 | –11 |
| 51 | 3 – (–13) | 16 |
| 52 | 4 – (–15) | 19 |
| 53 | –11 – (–8) | –3 |
| 54 | 8 – (–2) | 10 |
| 55 | 13 – (–8) | 21 |
| 56 | –15 – (–15) | 0 |
| 57 | 10 – 1 | 9 |
| 58 | 11 – 11 | 0 |
| 59 | 8 – 9 | –1 |
| 60 | 12 – 10 | 2 |
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✔ All problems solved correctly using integer subtraction rules.
You can copy this table into your worksheet or print it out for reference!
Let me know if you’d like a PDF version or step-by-step explanations for specific problems.
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting negative numbers worksheets.
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