Adding and Subtracting Two-Digit Numbers (A) - Free Printable
Educational worksheet: Adding and Subtracting Two-Digit Numbers (A). Download and print for classroom or home learning activities.
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Step-by-step solution for: Adding and Subtracting Two-Digit Numbers (A)
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Two-Digit Numbers (A)
You’ve uploaded a worksheet titled “Two-Digit Addition and Subtraction (A)”, which contains 49 arithmetic problems — a mix of two-digit addition and subtraction. Since I can’t “see” the image directly, but you’ve provided the full text representation, I’ll solve all 49 problems step by step and explain the process.
---
## ✔ How to Solve These Problems
Each problem is either:
- Addition: e.g., `65 + 90`
- Subtraction: e.g., `34 - 11`
We solve them using standard place-value arithmetic (ones and tens), carrying over when needed in addition, and borrowing when needed in subtraction.
---
## 📝 Step-by-Step Solutions
I’ll go row by row, column by column, as they appear.
---
1. 65 + 90
65 + 90 = 155
2. 34 - 11
34 - 11 = 23
3. 72 + 71
72 + 71 = 143
4. 54 - 22
54 - 22 = 32
5. 74 + 25
74 + 25 = 99
6. 28 - 11
28 - 11 = 17
7. 65 + 84
65 + 84 = 149
---
8. 57 - 57
57 - 57 = 0
9. 17 + 78
17 + 78 = 95
10. 64 - 64
64 - 64 = 0
11. 47 - 15
47 - 15 = 32
12. 60 - 57
60 - 57 = 3
13. 78 - 10
78 - 10 = 68
14. 59 + 29
59 + 29 = 88
---
15. 56 + 73
56 + 73 = 129
16. 77 - 64
77 - 64 = 13
17. 59 + 48
59 + 48 = 107
18. 48 + 32
48 + 32 = 80
19. 38 - 11
38 - 11 = 27
20. 59 + 37
59 + 37 = 96
21. 24 - 18
24 - 18 = 6
---
22. 77 - 15
77 - 15 = 62
23. 16 - 10
16 - 10 = 6
24. 42 - 16
42 - 16 = 26
25. 88 + 76
88 + 76 = 164
26. 42 - 25
42 - 25 = 17
27. 11 + 95
11 + 95 = 106
28. 63 - 21
63 - 21 = 42
---
29. 20 - 15
20 - 15 = 5
30. 57 + 51
57 + 51 = 108
31. 75 - 75
75 - 75 = 0
32. 87 + 37
87 + 37 = 124
33. 66 + 76
66 + 76 = 142
34. 47 + 42
47 + 42 = 89
35. 56 + 36
56 + 36 = 92
---
36. 39 + 56
39 + 56 = 95
37. 55 + 18
55 + 18 = 73
38. 59 - 53
59 - 53 = 6
39. 96 + 99
96 + 99 = 195
40. 73 - 27
73 - 27 = 46
41. 32 - 22
32 - 22 = 10
42. 71 - 34
71 - 34 = 37
---
43. 88 + 99
88 + 99 = 187
44. 95 + 42
95 + 42 = 137
45. 50 - 46
50 - 46 = 4
46. 75 + 48
75 + 48 = 123
47. 14 + 43
14 + 43 = 57
48. 58 - 49
58 - 49 = 9
49. 35 + 85
35 + 85 = 120
---
## ✔ Final Answer Key (All 49 Problems)
Here’s the complete list of answers in order:
```
1. 155 2. 23 3. 143 4. 32 5. 99 6. 17 7. 149
8. 0 9. 95 10. 0 11. 32 12. 3 13. 68 14. 88
15. 129 16. 13 17. 107 18. 80 19. 27 20. 96 21. 6
22. 62 23. 6 24. 26 25. 164 26. 17 27. 106 28. 42
29. 5 30. 108 31. 0 32. 124 33. 142 34. 89 35. 92
36. 95 37. 73 38. 6 39. 195 40. 46 41. 10 42. 37
43. 187 44. 137 45. 4 46. 123 47. 57 48. 9 49. 120
```
---
## 🧠 Explanation of Key Concepts
- Add digits in the ones place first.
- If sum ≥ 10, carry over 1 to the tens place.
- Then add tens place (including any carry).
Example: `65 + 90`
→ 5 + 0 = 5 (ones)
→ 6 + 9 = 15 → write 5, carry 1 → 155
---
- Subtract digits in the ones place first.
- If top digit < bottom digit, borrow 1 from tens.
- Then subtract tens place (after borrowing if needed).
Example: `42 - 16`
→ 2 < 6 → borrow → 12 - 6 = 6
→ 3 (after borrow) - 1 = 2 → 26
---
## 🎯 Tip for Students
Practice these until you can do them quickly without writing down carries or borrows — this builds mental math fluency!
---
✔ All 49 problems solved correctly with explanations.
Let me know if you’d like a printable version or want to check your own answers against this key!
---
## ✔ How to Solve These Problems
Each problem is either:
- Addition: e.g., `65 + 90`
- Subtraction: e.g., `34 - 11`
We solve them using standard place-value arithmetic (ones and tens), carrying over when needed in addition, and borrowing when needed in subtraction.
---
## 📝 Step-by-Step Solutions
I’ll go row by row, column by column, as they appear.
---
Row 1:
1. 65 + 90
65 + 90 = 155
2. 34 - 11
34 - 11 = 23
3. 72 + 71
72 + 71 = 143
4. 54 - 22
54 - 22 = 32
5. 74 + 25
74 + 25 = 99
6. 28 - 11
28 - 11 = 17
7. 65 + 84
65 + 84 = 149
---
Row 2:
8. 57 - 57
57 - 57 = 0
9. 17 + 78
17 + 78 = 95
10. 64 - 64
64 - 64 = 0
11. 47 - 15
47 - 15 = 32
12. 60 - 57
60 - 57 = 3
13. 78 - 10
78 - 10 = 68
14. 59 + 29
59 + 29 = 88
---
Row 3:
15. 56 + 73
56 + 73 = 129
16. 77 - 64
77 - 64 = 13
17. 59 + 48
59 + 48 = 107
18. 48 + 32
48 + 32 = 80
19. 38 - 11
38 - 11 = 27
20. 59 + 37
59 + 37 = 96
21. 24 - 18
24 - 18 = 6
---
Row 4:
22. 77 - 15
77 - 15 = 62
23. 16 - 10
16 - 10 = 6
24. 42 - 16
42 - 16 = 26
25. 88 + 76
88 + 76 = 164
26. 42 - 25
42 - 25 = 17
27. 11 + 95
11 + 95 = 106
28. 63 - 21
63 - 21 = 42
---
Row 5:
29. 20 - 15
20 - 15 = 5
30. 57 + 51
57 + 51 = 108
31. 75 - 75
75 - 75 = 0
32. 87 + 37
87 + 37 = 124
33. 66 + 76
66 + 76 = 142
34. 47 + 42
47 + 42 = 89
35. 56 + 36
56 + 36 = 92
---
Row 6:
36. 39 + 56
39 + 56 = 95
37. 55 + 18
55 + 18 = 73
38. 59 - 53
59 - 53 = 6
39. 96 + 99
96 + 99 = 195
40. 73 - 27
73 - 27 = 46
41. 32 - 22
32 - 22 = 10
42. 71 - 34
71 - 34 = 37
---
Row 7:
43. 88 + 99
88 + 99 = 187
44. 95 + 42
95 + 42 = 137
45. 50 - 46
50 - 46 = 4
46. 75 + 48
75 + 48 = 123
47. 14 + 43
14 + 43 = 57
48. 58 - 49
58 - 49 = 9
49. 35 + 85
35 + 85 = 120
---
## ✔ Final Answer Key (All 49 Problems)
Here’s the complete list of answers in order:
```
1. 155 2. 23 3. 143 4. 32 5. 99 6. 17 7. 149
8. 0 9. 95 10. 0 11. 32 12. 3 13. 68 14. 88
15. 129 16. 13 17. 107 18. 80 19. 27 20. 96 21. 6
22. 62 23. 6 24. 26 25. 164 26. 17 27. 106 28. 42
29. 5 30. 108 31. 0 32. 124 33. 142 34. 89 35. 92
36. 95 37. 73 38. 6 39. 195 40. 46 41. 10 42. 37
43. 187 44. 137 45. 4 46. 123 47. 57 48. 9 49. 120
```
---
## 🧠 Explanation of Key Concepts
➕ Addition:
- Add digits in the ones place first.
- If sum ≥ 10, carry over 1 to the tens place.
- Then add tens place (including any carry).
Example: `65 + 90`
→ 5 + 0 = 5 (ones)
→ 6 + 9 = 15 → write 5, carry 1 → 155
---
➖ Subtraction:
- Subtract digits in the ones place first.
- If top digit < bottom digit, borrow 1 from tens.
- Then subtract tens place (after borrowing if needed).
Example: `42 - 16`
→ 2 < 6 → borrow → 12 - 6 = 6
→ 3 (after borrow) - 1 = 2 → 26
---
## 🎯 Tip for Students
Practice these until you can do them quickly without writing down carries or borrows — this builds mental math fluency!
---
✔ All 49 problems solved correctly with explanations.
Let me know if you’d like a printable version or want to check your own answers against this key!
Parent Tip: Review the logic above to help your child master the concept of 2nd grade math worksheet addition and subtraction.
