Integer Worksheets for Kids - Free Printable Math Fun - Free Printable
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Step-by-step solution for: Integer Worksheets for Kids - Free Printable Math Fun
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Show Answer Key & Explanations
Step-by-step solution for: Integer Worksheets for Kids - Free Printable Math Fun
Sure! Let’s solve all 60 problems in the “Adding Integers - A” worksheet. I’ll explain the rules first, then provide all answers with brief reasoning.
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## 📌 Rules for Adding Integers:
1. Same signs? → Add the absolute values and keep the sign.
- Example: `(+5) + (+3) = +8`
- Example: `(-5) + (-3) = -8`
2. Different signs? → Subtract the smaller absolute value from the larger one. Keep the sign of the number with the larger absolute value.
- Example: `(+5) + (-3) = +2` (because 5 > 3, and 5 is positive)
- Example: `(-5) + (+3) = -2` (because 5 > 3, and 5 is negative)
3. Adding zero? → The number stays the same.
- Example: `(+7) + 0 = +7`
---
## ✔ SOLUTIONS:
Let’s go row by row:
1. 2 + 3 = 5 → Both positive → add → 5
2. (-5) + (-5) = -10 → Both negative → add → -10
3. (-4) + (-2) = -6 → Both negative → add → -6
4. (+6) + 0 = 6 → Adding zero → no change
5. (-2) + (+1) = -1 → Different signs → 2-1=1, keep negative sign (since 2>1)
6. 0 + (-3) = -3 → Adding zero → result is -3
7. 1 + (-7) = -6 → Different signs → 7-1=6, keep negative (7>1)
8. +7 + 3 = 10 → Both positive → add → 10
9. -3 + 3 = 0 → Opposites → cancel out → 0
10. (-3) + (-4) = -7 → Same sign → add → -7
11. (+5) + (-1) = 4 → Different signs → 5-1=4, keep positive (5>1)
12. 2 + (-5) = -3 → Different signs → 5-2=3, keep negative (5>2)
13. -7 + 1 = -6 → Different signs → 7-1=6, keep negative
14. +9 + 0 = 9 → Adding zero → no change
15. (-5) + (-7) = -12 → Same sign → add → -12
16. 4 + (-3) = 1 → Different signs → 4-3=1, keep positive
17. 4 + (-4) = 0 → Opposites → cancel → 0
18. 6 + (-6) = 0 → Opposites → cancel → 0
19. +3 + (-8) = -5 → Different signs → 8-3=5, keep negative
20. -3 + 6 = 3 → Different signs → 6-3=3, keep positive
21. -6 + 4 = -2 → Different signs → 6-4=2, keep negative
22. 8 + 0 = 8 → Adding zero → no change
23. (-7) + (+4) = -3 → Different signs → 7-4=3, keep negative
24. +4 + 4 = 8 → Same sign → add → 8
25. (-7) + (-2) = -9 → Same sign → add → -9
26. 4 + (-4) = 0 → Opposites → cancel → 0
27. (-8) + (-3) = -11 → Same sign → add → -11
28. +3 + 3 = 6 → Same sign → add → 6
29. -1 + 6 = 5 → Different signs → 6-1=5, keep positive
30. -9 + 1 = -8 → Different signs → 9-1=8, keep negative
31. (+1) + (+1) = 2 → Same sign → add → 2
32. 5 + (-2) = 3 → Different signs → 5-2=3, keep positive
33. 2 + (-9) = -7 → Different signs → 9-2=7, keep negative
34. (-7) + 0 = -7 → Adding zero → no change
35. -2 + 3 = 1 → Different signs → 3-2=1, keep positive
36. 1 + (-1) = 0 → Opposites → cancel → 0
37. 2 + (-6) = -4 → Different signs → 6-2=4, keep negative
38. 4 + (-3) = 1 → Different signs → 4-3=1, keep positive
39. 3 + (-7) = -4 → Different signs → 7-3=4, keep negative
40. (-5) + 1 = -4 → Different signs → 5-1=4, keep negative
41. (-4) + 6 = 2 → Different signs → 6-4=2, keep positive
42. (-4) + (-8) = -12 → Same sign → add → -12
43. (-3) + (-6) = -9 → Same sign → add → -9
44. 0 + (-8) = -8 → Adding zero → no change
45. 7 + (-2) = 5 → Different signs → 7-2=5, keep positive
46. (+2) + (-5) = -3 → Different signs → 5-2=3, keep negative
47. 2 + (-2) = 0 → Opposites → cancel → 0
48. -5 + 5 = 0 → Opposites → cancel → 0
49. (-5) + 4 = -1 → Different signs → 5-4=1, keep negative
50. -8 + 1 = -7 → Different signs → 8-1=7, keep negative
51. 1 + (-8) = -7 → Different signs → 8-1=7, keep negative
52. 3 + (-4) = -1 → Different signs → 4-3=1, keep negative
53. -3 + 0 = -3 → Adding zero → no change
54. 5 + (-6) = -1 → Different signs → 6-5=1, keep negative
55. (+7) + (-4) = 3 → Different signs → 7-4=3, keep positive
56. +2 + 4 = 6 → Same sign → add → 6
57. -1 + 8 = 7 → Different signs → 8-1=7, keep positive
58. 5 + 4 = 9 → Same sign → add → 9
59. 2 + (-5) = -3 → Different signs → 5-2=3, keep negative
60. 7 + (-1) = 6 → Different signs → 7-1=6, keep positive
---
## ✔ Final Answer Key (All 60 Problems):
```
1. 5 2. -10 3. -6
4. 6 5. -1 6. -3
7. -6 8. 10 9. 0
10. -7 11. 4 12. -3
13. -6 14. 9 15. -12
16. 1 17. 0 18. 0
19. -5 20. 3 21. -2
22. 8 23. -3 24. 8
25. -9 26. 0 27. -11
28. 6 29. 5 30. -8
31. 2 32. 3 33. -7
34. -7 35. 1 36. 0
37. -4 38. 1 39. -4
40. -4 41. 2 42. -12
43. -9 44. -8 45. 5
46. -3 47. 0 48. 0
49. -1 50. -7 51. -7
52. -1 53. -3 54. -1
55. 3 56. 6 57. 7
58. 9 59. -3 60. 6
```
---
## 💡 Tip for Students:
Use a number line if you’re unsure — start at the first number, then move right for positive or left for negative second number.
You’ve got this! 🎯
Let me know if you’d like a printable version or to check your own answers against this key.
---
## 📌 Rules for Adding Integers:
1. Same signs? → Add the absolute values and keep the sign.
- Example: `(+5) + (+3) = +8`
- Example: `(-5) + (-3) = -8`
2. Different signs? → Subtract the smaller absolute value from the larger one. Keep the sign of the number with the larger absolute value.
- Example: `(+5) + (-3) = +2` (because 5 > 3, and 5 is positive)
- Example: `(-5) + (+3) = -2` (because 5 > 3, and 5 is negative)
3. Adding zero? → The number stays the same.
- Example: `(+7) + 0 = +7`
---
## ✔ SOLUTIONS:
Let’s go row by row:
Row 1:
1. 2 + 3 = 5 → Both positive → add → 5
2. (-5) + (-5) = -10 → Both negative → add → -10
3. (-4) + (-2) = -6 → Both negative → add → -6
Row 2:
4. (+6) + 0 = 6 → Adding zero → no change
5. (-2) + (+1) = -1 → Different signs → 2-1=1, keep negative sign (since 2>1)
6. 0 + (-3) = -3 → Adding zero → result is -3
Row 3:
7. 1 + (-7) = -6 → Different signs → 7-1=6, keep negative (7>1)
8. +7 + 3 = 10 → Both positive → add → 10
9. -3 + 3 = 0 → Opposites → cancel out → 0
Row 4:
10. (-3) + (-4) = -7 → Same sign → add → -7
11. (+5) + (-1) = 4 → Different signs → 5-1=4, keep positive (5>1)
12. 2 + (-5) = -3 → Different signs → 5-2=3, keep negative (5>2)
Row 5:
13. -7 + 1 = -6 → Different signs → 7-1=6, keep negative
14. +9 + 0 = 9 → Adding zero → no change
15. (-5) + (-7) = -12 → Same sign → add → -12
Row 6:
16. 4 + (-3) = 1 → Different signs → 4-3=1, keep positive
17. 4 + (-4) = 0 → Opposites → cancel → 0
18. 6 + (-6) = 0 → Opposites → cancel → 0
Row 7:
19. +3 + (-8) = -5 → Different signs → 8-3=5, keep negative
20. -3 + 6 = 3 → Different signs → 6-3=3, keep positive
21. -6 + 4 = -2 → Different signs → 6-4=2, keep negative
Row 8:
22. 8 + 0 = 8 → Adding zero → no change
23. (-7) + (+4) = -3 → Different signs → 7-4=3, keep negative
24. +4 + 4 = 8 → Same sign → add → 8
Row 9:
25. (-7) + (-2) = -9 → Same sign → add → -9
26. 4 + (-4) = 0 → Opposites → cancel → 0
27. (-8) + (-3) = -11 → Same sign → add → -11
Row 10:
28. +3 + 3 = 6 → Same sign → add → 6
29. -1 + 6 = 5 → Different signs → 6-1=5, keep positive
30. -9 + 1 = -8 → Different signs → 9-1=8, keep negative
Row 11:
31. (+1) + (+1) = 2 → Same sign → add → 2
32. 5 + (-2) = 3 → Different signs → 5-2=3, keep positive
33. 2 + (-9) = -7 → Different signs → 9-2=7, keep negative
Row 12:
34. (-7) + 0 = -7 → Adding zero → no change
35. -2 + 3 = 1 → Different signs → 3-2=1, keep positive
36. 1 + (-1) = 0 → Opposites → cancel → 0
Row 13:
37. 2 + (-6) = -4 → Different signs → 6-2=4, keep negative
38. 4 + (-3) = 1 → Different signs → 4-3=1, keep positive
39. 3 + (-7) = -4 → Different signs → 7-3=4, keep negative
Row 14:
40. (-5) + 1 = -4 → Different signs → 5-1=4, keep negative
41. (-4) + 6 = 2 → Different signs → 6-4=2, keep positive
42. (-4) + (-8) = -12 → Same sign → add → -12
Row 15:
43. (-3) + (-6) = -9 → Same sign → add → -9
44. 0 + (-8) = -8 → Adding zero → no change
45. 7 + (-2) = 5 → Different signs → 7-2=5, keep positive
Row 16:
46. (+2) + (-5) = -3 → Different signs → 5-2=3, keep negative
47. 2 + (-2) = 0 → Opposites → cancel → 0
48. -5 + 5 = 0 → Opposites → cancel → 0
Row 17:
49. (-5) + 4 = -1 → Different signs → 5-4=1, keep negative
50. -8 + 1 = -7 → Different signs → 8-1=7, keep negative
51. 1 + (-8) = -7 → Different signs → 8-1=7, keep negative
Row 18:
52. 3 + (-4) = -1 → Different signs → 4-3=1, keep negative
53. -3 + 0 = -3 → Adding zero → no change
54. 5 + (-6) = -1 → Different signs → 6-5=1, keep negative
Row 19:
55. (+7) + (-4) = 3 → Different signs → 7-4=3, keep positive
56. +2 + 4 = 6 → Same sign → add → 6
57. -1 + 8 = 7 → Different signs → 8-1=7, keep positive
Row 20:
58. 5 + 4 = 9 → Same sign → add → 9
59. 2 + (-5) = -3 → Different signs → 5-2=3, keep negative
60. 7 + (-1) = 6 → Different signs → 7-1=6, keep positive
---
## ✔ Final Answer Key (All 60 Problems):
```
1. 5 2. -10 3. -6
4. 6 5. -1 6. -3
7. -6 8. 10 9. 0
10. -7 11. 4 12. -3
13. -6 14. 9 15. -12
16. 1 17. 0 18. 0
19. -5 20. 3 21. -2
22. 8 23. -3 24. 8
25. -9 26. 0 27. -11
28. 6 29. 5 30. -8
31. 2 32. 3 33. -7
34. -7 35. 1 36. 0
37. -4 38. 1 39. -4
40. -4 41. 2 42. -12
43. -9 44. -8 45. 5
46. -3 47. 0 48. 0
49. -1 50. -7 51. -7
52. -1 53. -3 54. -1
55. 3 56. 6 57. 7
58. 9 59. -3 60. 6
```
---
## 💡 Tip for Students:
Use a number line if you’re unsure — start at the first number, then move right for positive or left for negative second number.
You’ve got this! 🎯
Let me know if you’d like a printable version or to check your own answers against this key.
Parent Tip: Review the logic above to help your child master the concept of printable adding integers worksheet.