Math worksheet for practicing addition and subtraction of integers with various problems.
Worksheet titled "Adding and Subtracting Integers (A)" with math problems involving positive and negative numbers, including spaces for name, date, and score.
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Mixed Integers from -10 to 10 (75 Questions ...
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Mixed Integers from -10 to 10 (75 Questions ...
Let’s solve each problem step by step. We’re adding and subtracting integers — that means positive and negative numbers. Remember:
- Adding a negative is like subtracting.
- Subtracting a negative is like adding.
- When signs are the same, add and keep the sign.
- When signs are different, subtract the smaller from the larger and take the sign of the bigger number.
We’ll go row by row, left to right, top to bottom.
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First column:
1. –9 + 9 = 0
(Opposites cancel out)
2. –7 + 8 = 1
(8 is bigger than 7, so positive result: 8 - 7 = 1)
3. –8 + (–7) = –15
(Same signs: add 8 + 7 = 15, keep negative)
4. –10 – (–4) = –10 + 4 = –6
(Subtracting negative = adding positive; 10 > 4, so negative: 10 - 4 = 6 → –6)
5. –9 – (–10) = –9 + 10 = 1
(Again, subtracting negative = adding; 10 > 9, so positive: 10 - 9 = 1)
6. –7 – 9 = –16
(Both negative in effect: 7 + 9 = 16, keep negative)
7. 8 + (–3) = 5
(Different signs: 8 - 3 = 5, positive because 8 is bigger)
8. –4 + 8 = 4
(8 - 4 = 4, positive)
9. 2 + 7 = 9
(Simple addition)
10. 10 + (–10) = 0
(Opposites)
11. –7 – (–2) = –7 + 2 = –5
(2 < 7, so negative: 7 - 2 = 5 → –5)
12. –9 – (–7) = –9 + 7 = –2
(7 < 9, so negative: 9 - 7 = 2 → –2)
13. 1 + 10 = 11
14. 5 + 9 = 14
15. –5 – 10 = –15
(Add absolute values, keep negative)
16. –2 – 9 = –11
17. 10 – (–3) = 10 + 3 = 13
18. –8 – 9 = –17
19. 10 + (–9) = 1
(10 - 9 = 1, positive)
20. –5 – (–8) = –5 + 8 = 3
(8 > 5, so positive: 8 - 5 = 3)
21. –3 – (–1) = –3 + 1 = –2
(3 > 1, so negative: 3 - 1 = 2 → –2)
22. 1 – 9 = –8
23. 6 – (–3) = 6 + 3 = 9
24. –8 – 10 = –18
25. –6 + (–10) = –16
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Second column:
26. –8 + (–1) = –9
27. –5 – 4 = –9
28. 7 – 10 = –3
(10 > 7, so negative: 10 - 7 = 3 → –3)
29. –9 + (–3) = –12
30. 9 – (–8) = 9 + 8 = 17
31. 10 + 7 = 17
32. 6 + 7 = 13
33. –3 + (–4) = –7
34. –4 – (–3) = –4 + 3 = –1
(4 > 3, so negative: 4 - 3 = 1 → –1)
35. –7 – 4 = –11
36. 10 – 1 = 9
37. 1 – 5 = –4
38. –7 + (–1) = –8
39. 8 – (–5) = 8 + 5 = 13
40. –4 – (–6) = –4 + 6 = 2
(6 > 4, so positive: 6 - 4 = 2)
41. –7 – (–3) = –7 + 3 = –4
(7 > 3, so negative: 7 - 3 = 4 → –4)
42. 9 – (–1) = 9 + 1 = 10
43. –4 + 7 = 3
(7 > 4, so positive: 7 - 4 = 3)
44. 3 + 3 = 6
45. 8 + 8 = 16
46. 5 – 6 = –1
47. 1 – 8 = –7
48. 9 + 5 = 14
49. –6 + (–6) = –12
50. –8 + (–2) = –10
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Third column:
51. –2 + (–1) = –3
52. 4 – 9 = –5
53. –8 – 6 = –14
54. –6 + (–9) = –15
55. –9 – 4 = –13
56. –1 – (–7) = –1 + 7 = 6
(7 > 1, so positive: 7 - 1 = 6)
57. –4 – 10 = –14
58. –1 + (–1) = –2
59. 3 + (–10) = –7
(10 > 3, so negative: 10 - 3 = 7 → –7)
60. –6 – (–2) = –6 + 2 = –4
(6 > 2, so negative: 6 - 2 = 4 → –4)
61. 10 + (–8) = 2
(10 - 8 = 2, positive)
62. 5 + 2 = 7
63. 2 + 8 = 10
64. 10 – 5 = 5
65. 3 + (–2) = 1
(3 - 2 = 1, positive)
66. 1 – 2 = –1
67. 1 – 4 = –3
68. –4 + 1 = –3
(4 > 1, so negative: 4 - 1 = 3 → –3)
69. 2 – (–10) = 2 + 10 = 12
70. 5 + (–3) = 2
(5 - 3 = 2, positive)
71. 6 + (–1) = 5
(6 - 1 = 5, positive)
72. 3 + 8 = 11
73. 3 + 9 = 12
74. –9 – 2 = –11
75. 8 + 4 = 12
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Final Answer:
Here are all the answers in order, matching the worksheet layout (left to right, top to bottom):
Column 1:
0, 1, –15, –6, 1, –16, 5, 4, 9, 0, –5, –2, 11, 14, –15, –11, 13, –17, 1, 3, –2, –8, 9, –18, –16
Column 2:
–9, –9, –3, –12, 17, 17, 13, –7, –1, –11, 9, –4, –8, 13, 2, –4, 10, 3, 6, 16, –1, –7, 14, –12, –10
Column 3:
–3, –5, –14, –15, –13, 6, –14, –2, –7, –4, 2, 7, 10, 5, 1, –1, –3, –3, 12, 2, 5, 11, 12, –11, 12
- Adding a negative is like subtracting.
- Subtracting a negative is like adding.
- When signs are the same, add and keep the sign.
- When signs are different, subtract the smaller from the larger and take the sign of the bigger number.
We’ll go row by row, left to right, top to bottom.
---
First column:
1. –9 + 9 = 0
(Opposites cancel out)
2. –7 + 8 = 1
(8 is bigger than 7, so positive result: 8 - 7 = 1)
3. –8 + (–7) = –15
(Same signs: add 8 + 7 = 15, keep negative)
4. –10 – (–4) = –10 + 4 = –6
(Subtracting negative = adding positive; 10 > 4, so negative: 10 - 4 = 6 → –6)
5. –9 – (–10) = –9 + 10 = 1
(Again, subtracting negative = adding; 10 > 9, so positive: 10 - 9 = 1)
6. –7 – 9 = –16
(Both negative in effect: 7 + 9 = 16, keep negative)
7. 8 + (–3) = 5
(Different signs: 8 - 3 = 5, positive because 8 is bigger)
8. –4 + 8 = 4
(8 - 4 = 4, positive)
9. 2 + 7 = 9
(Simple addition)
10. 10 + (–10) = 0
(Opposites)
11. –7 – (–2) = –7 + 2 = –5
(2 < 7, so negative: 7 - 2 = 5 → –5)
12. –9 – (–7) = –9 + 7 = –2
(7 < 9, so negative: 9 - 7 = 2 → –2)
13. 1 + 10 = 11
14. 5 + 9 = 14
15. –5 – 10 = –15
(Add absolute values, keep negative)
16. –2 – 9 = –11
17. 10 – (–3) = 10 + 3 = 13
18. –8 – 9 = –17
19. 10 + (–9) = 1
(10 - 9 = 1, positive)
20. –5 – (–8) = –5 + 8 = 3
(8 > 5, so positive: 8 - 5 = 3)
21. –3 – (–1) = –3 + 1 = –2
(3 > 1, so negative: 3 - 1 = 2 → –2)
22. 1 – 9 = –8
23. 6 – (–3) = 6 + 3 = 9
24. –8 – 10 = –18
25. –6 + (–10) = –16
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Second column:
26. –8 + (–1) = –9
27. –5 – 4 = –9
28. 7 – 10 = –3
(10 > 7, so negative: 10 - 7 = 3 → –3)
29. –9 + (–3) = –12
30. 9 – (–8) = 9 + 8 = 17
31. 10 + 7 = 17
32. 6 + 7 = 13
33. –3 + (–4) = –7
34. –4 – (–3) = –4 + 3 = –1
(4 > 3, so negative: 4 - 3 = 1 → –1)
35. –7 – 4 = –11
36. 10 – 1 = 9
37. 1 – 5 = –4
38. –7 + (–1) = –8
39. 8 – (–5) = 8 + 5 = 13
40. –4 – (–6) = –4 + 6 = 2
(6 > 4, so positive: 6 - 4 = 2)
41. –7 – (–3) = –7 + 3 = –4
(7 > 3, so negative: 7 - 3 = 4 → –4)
42. 9 – (–1) = 9 + 1 = 10
43. –4 + 7 = 3
(7 > 4, so positive: 7 - 4 = 3)
44. 3 + 3 = 6
45. 8 + 8 = 16
46. 5 – 6 = –1
47. 1 – 8 = –7
48. 9 + 5 = 14
49. –6 + (–6) = –12
50. –8 + (–2) = –10
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Third column:
51. –2 + (–1) = –3
52. 4 – 9 = –5
53. –8 – 6 = –14
54. –6 + (–9) = –15
55. –9 – 4 = –13
56. –1 – (–7) = –1 + 7 = 6
(7 > 1, so positive: 7 - 1 = 6)
57. –4 – 10 = –14
58. –1 + (–1) = –2
59. 3 + (–10) = –7
(10 > 3, so negative: 10 - 3 = 7 → –7)
60. –6 – (–2) = –6 + 2 = –4
(6 > 2, so negative: 6 - 2 = 4 → –4)
61. 10 + (–8) = 2
(10 - 8 = 2, positive)
62. 5 + 2 = 7
63. 2 + 8 = 10
64. 10 – 5 = 5
65. 3 + (–2) = 1
(3 - 2 = 1, positive)
66. 1 – 2 = –1
67. 1 – 4 = –3
68. –4 + 1 = –3
(4 > 1, so negative: 4 - 1 = 3 → –3)
69. 2 – (–10) = 2 + 10 = 12
70. 5 + (–3) = 2
(5 - 3 = 2, positive)
71. 6 + (–1) = 5
(6 - 1 = 5, positive)
72. 3 + 8 = 11
73. 3 + 9 = 12
74. –9 – 2 = –11
75. 8 + 4 = 12
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Final Answer:
Here are all the answers in order, matching the worksheet layout (left to right, top to bottom):
Column 1:
0, 1, –15, –6, 1, –16, 5, 4, 9, 0, –5, –2, 11, 14, –15, –11, 13, –17, 1, 3, –2, –8, 9, –18, –16
Column 2:
–9, –9, –3, –12, 17, 17, 13, –7, –1, –11, 9, –4, –8, 13, 2, –4, 10, 3, 6, 16, –1, –7, 14, –12, –10
Column 3:
–3, –5, –14, –15, –13, 6, –14, –2, –7, –4, 2, 7, 10, 5, 1, –1, –3, –3, 12, 2, 5, 11, 12, –11, 12
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction integers worksheet.
