3 Digit Addition and Subtraction without Regrouping - Free Printable
Educational worksheet: 3 Digit Addition and Subtraction without Regrouping. Download and print for classroom or home learning activities.
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Step-by-step solution for: 3 Digit Addition and Subtraction without Regrouping
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit Addition and Subtraction without Regrouping
Let's solve each of the 3-digit addition and subtraction problems without regrouping. This means we'll only perform operations where no digit in the result exceeds 9 (so no carrying in addition or borrowing in subtraction).
We will go through each problem one by one, solving it step by step.
---
1. 152 + 445
- Units: 2 + 5 = 7
- Tens: 5 + 4 = 9
- Hundreds: 1 + 4 = 5
→ 597
2. 231 + 526
- Units: 1 + 6 = 7
- Tens: 3 + 2 = 5
- Hundreds: 2 + 5 = 7
→ 757
3. 678 - 162
- Units: 8 - 2 = 6
- Tens: 7 - 6 = 1
- Hundreds: 6 - 1 = 5
→ 516
4. 956 - 325
- Units: 6 - 5 = 1
- Tens: 5 - 2 = 3
- Hundreds: 9 - 3 = 6
→ 631
5. 539 - 118
- Units: 9 - 8 = 1
- Tens: 3 - 1 = 2
- Hundreds: 5 - 1 = 4
→ 421
---
6. 371 + 418
- Units: 1 + 8 = 9
- Tens: 7 + 1 = 8
- Hundreds: 3 + 4 = 7
→ 789
7. 242 + 433
- Units: 2 + 3 = 5
- Tens: 4 + 3 = 7
- Hundreds: 2 + 4 = 6
→ 675
8. 756 - 130
- Units: 6 - 0 = 6
- Tens: 5 - 3 = 2
- Hundreds: 7 - 1 = 6
→ 626
9. 584 - 231
- Units: 4 - 1 = 3
- Tens: 8 - 3 = 5
- Hundreds: 5 - 2 = 3
→ 353
10. 313 + 354
- Units: 3 + 4 = 7
- Tens: 1 + 5 = 6
- Hundreds: 3 + 3 = 6
→ 667
---
11. 428 - 114
- Units: 8 - 4 = 4
- Tens: 2 - 1 = 1
- Hundreds: 4 - 1 = 3
→ 314
12. 968 - 455
- Units: 8 - 5 = 3
- Tens: 6 - 5 = 1
- Hundreds: 9 - 4 = 5
→ 513
13. 837 + 160
- Units: 7 + 0 = 7
- Tens: 3 + 6 = 9
- Hundreds: 8 + 1 = 9
→ 997
14. 498 - 243
- Units: 8 - 3 = 5
- Tens: 9 - 4 = 5
- Hundreds: 4 - 2 = 2
→ 255
15. 124 + 561
- Units: 4 + 1 = 5
- Tens: 2 + 6 = 8
- Hundreds: 1 + 5 = 6
→ 685
---
16. 590 - 270
- Units: 0 - 0 = 0
- Tens: 9 - 7 = 2
- Hundreds: 5 - 2 = 3
→ 320
17. 642 - 211
- Units: 2 - 1 = 1
- Tens: 4 - 1 = 3
- Hundreds: 6 - 2 = 4
→ 431
18. 957 - 623
- Units: 7 - 3 = 4
- Tens: 5 - 2 = 3
- Hundreds: 9 - 6 = 3
→ 334
19. 416 + 482
- Units: 6 + 2 = 8
- Tens: 1 + 8 = 9
- Hundreds: 4 + 4 = 8
→ 898
20. 667 - 223
- Units: 7 - 3 = 4
- Tens: 6 - 2 = 4
- Hundreds: 6 - 2 = 4
→ 444
---
21. 695 - 442
- Units: 5 - 2 = 3
- Tens: 9 - 4 = 5
- Hundreds: 6 - 4 = 2
→ 253
22. 458 + 310
- Units: 8 + 0 = 8
- Tens: 5 + 1 = 6
- Hundreds: 4 + 3 = 7
→ 768
23. 917 + 451
- Units: 7 + 1 = 8
- Tens: 1 + 5 = 6
- Hundreds: 9 + 4 = 13 ← Wait! This is a problem.
→ 9 + 4 = 13 → this requires regrouping, but the title says "without regrouping".
So either the problem is invalid for this set, or there’s a mistake.
Wait — let's check:
- 917 + 451:
- Units: 7 + 1 = 8 ✔
- Tens: 1 + 5 = 6 ✔
- Hundreds: 9 + 4 = 13 ✘ → regrouping needed (carry over)
But since the worksheet says "without regrouping", this might be an error.
Similarly, let’s check others.
But let's assume all are valid without regrouping. So maybe I made a mistake?
Wait — 917 + 451 does require regrouping because 900 + 400 = 1300, so total is 1368 → yes, needs regrouping.
But the instruction says "without regrouping", so likely this problem is not intended to be solved here, or perhaps it's a typo.
Let’s double-check other ones.
Wait — 416 + 482:
- 416 + 482 = 898 → 4+4=8 hundreds, 1+8=9 tens, 6+2=8 units → no regrouping? Wait — 1+8=9, which is fine, but tens digit: 1 (from 416) + 8 (from 482) = 9 → no carry → okay.
But 917 + 451: 9+4=13 → must carry → not allowed.
So possibly this problem is meant to be excluded or corrected.
But let’s proceed assuming that the problem is valid as-is.
Wait — maybe the student is supposed to recognize that some problems *cannot* be done without regrouping?
But the title says "without regrouping", so likely all should be solvable without it.
Let’s recheck 917 + 451:
- 917 + 451 = ?
- Units: 7+1=8
- Tens: 1+5=6
- Hundreds: 9+4=13 → need to carry 1 to thousands → regrouping required
So this one does require regrouping.
Similarly, check 458 + 310:
- 458 + 310 = 768 → 4+3=7, 5+1=6, 8+0=8 → no carry → okay.
Now check 917 + 451 again → definitely requires regrouping.
So perhaps it's a mistake in the worksheet.
But let’s assume the student is to solve only those that don’t require regrouping, or perhaps we just compute them anyway.
But per instructions, let’s solve all as given, and note if regrouping is needed.
But since the title says “without regrouping”, perhaps we’re to assume they’re all designed to not require regrouping.
Let’s look at 917 + 451 again — maybe it’s 917 + 451 → 1368 → requires regrouping, so likely not intended.
Alternatively, maybe it's 917 + 451 → but if you do it column-wise:
- Units: 7+1=8
- Tens: 1+5=6
- Hundreds: 9+4=13 → can't write 13 in hundreds place without regrouping → so must regroup
So this problem cannot be solved without regrouping.
Similarly, check 416 + 482:
- 416 + 482 = 898
- 4+4=8 → okay
- 1+8=9 → okay
- 6+2=8 → okay → no regrouping → valid
Now 917 + 451 → invalid under "no regrouping"
But let’s continue with the rest.
24. 786 - 241
- Units: 6 - 1 = 5
- Tens: 8 - 4 = 4
- Hundreds: 7 - 2 = 5
→ 545
25. 373 + 512
- Units: 3 + 2 = 5
- Tens: 7 + 1 = 8
- Hundreds: 3 + 5 = 8
→ 885
---
| Problem | Answer | Regrouping Needed? |
|--------|--------|-------------------|
| 1. 152 + 445 | 597 | No |
| 2. 231 + 526 | 757 | No |
| 3. 678 - 162 | 516 | No |
| 4. 956 - 325 | 631 | No |
| 5. 539 - 118 | 421 | No |
| 6. 371 + 418 | 789 | No |
| 7. 242 + 433 | 675 | No |
| 8. 756 - 130 | 626 | No |
| 9. 584 - 231 | 353 | No |
|10. 313 + 354 | 667 | No |
|11. 428 - 114 | 314 | No |
|12. 968 - 455 | 513 | No |
|13. 837 + 160 | 997 | No |
|14. 498 - 243 | 255 | No |
|15. 124 + 561 | 685 | No |
|16. 590 - 270 | 320 | No |
|17. 642 - 211 | 431 | No |
|18. 957 - 623 | 334 | No |
|19. 416 + 482 | 898 | No |
|20. 667 - 223 | 444 | No |
|21. 695 - 442 | 253 | No |
|22. 458 + 310 | 768 | No |
|23. 917 + 451 | 1368 | Yes (Regrouping needed!) |
|24. 786 - 241 | 545 | No |
|25. 373 + 512 | 885 | No |
---
Problem #23: 917 + 451 requires regrouping because:
- Hundreds: 9 + 4 = 13 → must carry 1 to thousands place.
- Result is 1368, but cannot be computed without regrouping.
So this problem violates the "without regrouping" rule.
Possibility:
- It might be a typo — perhaps it was meant to be 817 + 451 or 917 + 351?
- Or maybe the worksheet allows some exceptions?
But based on the title, it's likely a mistake.
---
But since the task is to solve the image, we’ll list all answers as computed.
---
1. 597
2. 757
3. 516
4. 631
5. 421
6. 789
7. 675
8. 626
9. 353
10. 667
11. 314
12. 513
13. 997
14. 255
15. 685
16. 320
17. 431
18. 334
19. 898
20. 444
21. 253
22. 768
23. 1368 ← Requires regrouping
24. 545
25. 885
---
All problems were solved correctly using standard addition/subtraction rules.
Only problem #23 (917 + 451) requires regrouping, which contradicts the worksheet’s title.
✔ All others can be solved without regrouping.
If the goal is to practice only non-regrouping problems, then #23 should be skipped or corrected.
Let me know if you'd like a corrected version of the worksheet!
We will go through each problem one by one, solving it step by step.
---
Row 1
1. 152 + 445
- Units: 2 + 5 = 7
- Tens: 5 + 4 = 9
- Hundreds: 1 + 4 = 5
→ 597
2. 231 + 526
- Units: 1 + 6 = 7
- Tens: 3 + 2 = 5
- Hundreds: 2 + 5 = 7
→ 757
3. 678 - 162
- Units: 8 - 2 = 6
- Tens: 7 - 6 = 1
- Hundreds: 6 - 1 = 5
→ 516
4. 956 - 325
- Units: 6 - 5 = 1
- Tens: 5 - 2 = 3
- Hundreds: 9 - 3 = 6
→ 631
5. 539 - 118
- Units: 9 - 8 = 1
- Tens: 3 - 1 = 2
- Hundreds: 5 - 1 = 4
→ 421
---
Row 2
6. 371 + 418
- Units: 1 + 8 = 9
- Tens: 7 + 1 = 8
- Hundreds: 3 + 4 = 7
→ 789
7. 242 + 433
- Units: 2 + 3 = 5
- Tens: 4 + 3 = 7
- Hundreds: 2 + 4 = 6
→ 675
8. 756 - 130
- Units: 6 - 0 = 6
- Tens: 5 - 3 = 2
- Hundreds: 7 - 1 = 6
→ 626
9. 584 - 231
- Units: 4 - 1 = 3
- Tens: 8 - 3 = 5
- Hundreds: 5 - 2 = 3
→ 353
10. 313 + 354
- Units: 3 + 4 = 7
- Tens: 1 + 5 = 6
- Hundreds: 3 + 3 = 6
→ 667
---
Row 3
11. 428 - 114
- Units: 8 - 4 = 4
- Tens: 2 - 1 = 1
- Hundreds: 4 - 1 = 3
→ 314
12. 968 - 455
- Units: 8 - 5 = 3
- Tens: 6 - 5 = 1
- Hundreds: 9 - 4 = 5
→ 513
13. 837 + 160
- Units: 7 + 0 = 7
- Tens: 3 + 6 = 9
- Hundreds: 8 + 1 = 9
→ 997
14. 498 - 243
- Units: 8 - 3 = 5
- Tens: 9 - 4 = 5
- Hundreds: 4 - 2 = 2
→ 255
15. 124 + 561
- Units: 4 + 1 = 5
- Tens: 2 + 6 = 8
- Hundreds: 1 + 5 = 6
→ 685
---
Row 4
16. 590 - 270
- Units: 0 - 0 = 0
- Tens: 9 - 7 = 2
- Hundreds: 5 - 2 = 3
→ 320
17. 642 - 211
- Units: 2 - 1 = 1
- Tens: 4 - 1 = 3
- Hundreds: 6 - 2 = 4
→ 431
18. 957 - 623
- Units: 7 - 3 = 4
- Tens: 5 - 2 = 3
- Hundreds: 9 - 6 = 3
→ 334
19. 416 + 482
- Units: 6 + 2 = 8
- Tens: 1 + 8 = 9
- Hundreds: 4 + 4 = 8
→ 898
20. 667 - 223
- Units: 7 - 3 = 4
- Tens: 6 - 2 = 4
- Hundreds: 6 - 2 = 4
→ 444
---
Row 5
21. 695 - 442
- Units: 5 - 2 = 3
- Tens: 9 - 4 = 5
- Hundreds: 6 - 4 = 2
→ 253
22. 458 + 310
- Units: 8 + 0 = 8
- Tens: 5 + 1 = 6
- Hundreds: 4 + 3 = 7
→ 768
23. 917 + 451
- Units: 7 + 1 = 8
- Tens: 1 + 5 = 6
- Hundreds: 9 + 4 = 13 ← Wait! This is a problem.
→ 9 + 4 = 13 → this requires regrouping, but the title says "without regrouping".
So either the problem is invalid for this set, or there’s a mistake.
Wait — let's check:
- 917 + 451:
- Units: 7 + 1 = 8 ✔
- Tens: 1 + 5 = 6 ✔
- Hundreds: 9 + 4 = 13 ✘ → regrouping needed (carry over)
But since the worksheet says "without regrouping", this might be an error.
Similarly, let’s check others.
But let's assume all are valid without regrouping. So maybe I made a mistake?
Wait — 917 + 451 does require regrouping because 900 + 400 = 1300, so total is 1368 → yes, needs regrouping.
But the instruction says "without regrouping", so likely this problem is not intended to be solved here, or perhaps it's a typo.
Let’s double-check other ones.
Wait — 416 + 482:
- 416 + 482 = 898 → 4+4=8 hundreds, 1+8=9 tens, 6+2=8 units → no regrouping? Wait — 1+8=9, which is fine, but tens digit: 1 (from 416) + 8 (from 482) = 9 → no carry → okay.
But 917 + 451: 9+4=13 → must carry → not allowed.
So possibly this problem is meant to be excluded or corrected.
But let’s proceed assuming that the problem is valid as-is.
Wait — maybe the student is supposed to recognize that some problems *cannot* be done without regrouping?
But the title says "without regrouping", so likely all should be solvable without it.
Let’s recheck 917 + 451:
- 917 + 451 = ?
- Units: 7+1=8
- Tens: 1+5=6
- Hundreds: 9+4=13 → need to carry 1 to thousands → regrouping required
So this one does require regrouping.
Similarly, check 458 + 310:
- 458 + 310 = 768 → 4+3=7, 5+1=6, 8+0=8 → no carry → okay.
Now check 917 + 451 again → definitely requires regrouping.
So perhaps it's a mistake in the worksheet.
But let’s assume the student is to solve only those that don’t require regrouping, or perhaps we just compute them anyway.
But per instructions, let’s solve all as given, and note if regrouping is needed.
But since the title says “without regrouping”, perhaps we’re to assume they’re all designed to not require regrouping.
Let’s look at 917 + 451 again — maybe it’s 917 + 451 → 1368 → requires regrouping, so likely not intended.
Alternatively, maybe it's 917 + 451 → but if you do it column-wise:
- Units: 7+1=8
- Tens: 1+5=6
- Hundreds: 9+4=13 → can't write 13 in hundreds place without regrouping → so must regroup
So this problem cannot be solved without regrouping.
Similarly, check 416 + 482:
- 416 + 482 = 898
- 4+4=8 → okay
- 1+8=9 → okay
- 6+2=8 → okay → no regrouping → valid
Now 917 + 451 → invalid under "no regrouping"
But let’s continue with the rest.
24. 786 - 241
- Units: 6 - 1 = 5
- Tens: 8 - 4 = 4
- Hundreds: 7 - 2 = 5
→ 545
25. 373 + 512
- Units: 3 + 2 = 5
- Tens: 7 + 1 = 8
- Hundreds: 3 + 5 = 8
→ 885
---
Final Answers (with notes on regrouping):
| Problem | Answer | Regrouping Needed? |
|--------|--------|-------------------|
| 1. 152 + 445 | 597 | No |
| 2. 231 + 526 | 757 | No |
| 3. 678 - 162 | 516 | No |
| 4. 956 - 325 | 631 | No |
| 5. 539 - 118 | 421 | No |
| 6. 371 + 418 | 789 | No |
| 7. 242 + 433 | 675 | No |
| 8. 756 - 130 | 626 | No |
| 9. 584 - 231 | 353 | No |
|10. 313 + 354 | 667 | No |
|11. 428 - 114 | 314 | No |
|12. 968 - 455 | 513 | No |
|13. 837 + 160 | 997 | No |
|14. 498 - 243 | 255 | No |
|15. 124 + 561 | 685 | No |
|16. 590 - 270 | 320 | No |
|17. 642 - 211 | 431 | No |
|18. 957 - 623 | 334 | No |
|19. 416 + 482 | 898 | No |
|20. 667 - 223 | 444 | No |
|21. 695 - 442 | 253 | No |
|22. 458 + 310 | 768 | No |
|23. 917 + 451 | 1368 | Yes (Regrouping needed!) |
|24. 786 - 241 | 545 | No |
|25. 373 + 512 | 885 | No |
---
Important Note:
Problem #23: 917 + 451 requires regrouping because:
- Hundreds: 9 + 4 = 13 → must carry 1 to thousands place.
- Result is 1368, but cannot be computed without regrouping.
So this problem violates the "without regrouping" rule.
Possibility:
- It might be a typo — perhaps it was meant to be 817 + 451 or 917 + 351?
- Or maybe the worksheet allows some exceptions?
But based on the title, it's likely a mistake.
---
Final Answers (excluding #23 if strict about no regrouping):
But since the task is to solve the image, we’ll list all answers as computed.
---
✔ Final Answer List:
1. 597
2. 757
3. 516
4. 631
5. 421
6. 789
7. 675
8. 626
9. 353
10. 667
11. 314
12. 513
13. 997
14. 255
15. 685
16. 320
17. 431
18. 334
19. 898
20. 444
21. 253
22. 768
23. 1368 ← Requires regrouping
24. 545
25. 885
---
Summary:
All problems were solved correctly using standard addition/subtraction rules.
Only problem #23 (917 + 451) requires regrouping, which contradicts the worksheet’s title.
✔ All others can be solved without regrouping.
If the goal is to practice only non-regrouping problems, then #23 should be skipped or corrected.
Let me know if you'd like a corrected version of the worksheet!
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction without regrouping worksheet.