Addition and Subtraction with Regrouping Worksheets with Answer Key - Free Printable
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Step-by-step solution for: Addition and Subtraction with Regrouping Worksheets with Answer Key
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Show Answer Key & Explanations
Step-by-step solution for: Addition and Subtraction with Regrouping Worksheets with Answer Key
Let’s solve each problem one by one. We’ll do addition and subtraction with regrouping (also called borrowing or carrying). I’ll show you how to think through each step so you can understand what’s happening.
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Problem 1: 606 + 59
Start from the right:
- Ones place: 6 + 9 = 15 → write down 5, carry over 1
- Tens place: 0 + 5 = 5, plus the carried 1 = 6
- Hundreds place: 6 + 0 = 6
Answer: 665
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Problem 2: 592 - 99
Ones place: 2 - 9 → can’t do, so borrow from tens.
But tens digit is 9 → borrow from hundreds.
Hundreds: 5 becomes 4
Tens: 9 becomes 8, then we lend 1 to ones → tens become 7? Wait — let’s do it carefully:
Actually:
- Borrow 1 from hundreds (5→4), give to tens → tens become 19? No — better way:
Break it down:
592 - 99 = ?
Think of 99 as 100 - 1 → so 592 - 100 = 492, then add back 1 → 493
Or column-wise:
Ones: 2 < 9 → borrow from tens. But tens is 9 → so borrow from hundreds.
Hundreds: 5 → 4
Tens: 9 → 8, but now we need to lend to ones → so tens become 8, ones get 12 (since 2+10=12)
Now:
Ones: 12 - 9 = 3
Tens: 8 - 9 → can’t do! So borrow from hundreds again? Wait — hundreds is already 4.
Wait — mistake here. Let me redo:
Original: 592
Minus: 99
Align:
5 9 2
- 9 9
--------
Ones: 2 - 9 → borrow from tens. Tens is 9 → so tens become 8, ones become 12 → 12 - 9 = 3
Tens: 8 - 9 → can’t do → borrow from hundreds. Hundreds is 5 → becomes 4, tens become 18 → 18 - 9 = 9
Hundreds: 4 - 0 = 4
So answer: 493
Yes, that matches the shortcut method.
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Problem 3: 783 + 82
Ones: 3 + 2 = 5
Tens: 8 + 8 = 16 → write 6, carry 1
Hundreds: 7 + 0 + 1 = 8
Answer: 865
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Problem 4: 275 - 59
Ones: 5 - 9 → borrow from tens. Tens is 7 → becomes 6, ones become 15 → 15 - 9 = 6
Tens: 6 - 5 = 1
Hundreds: 2 - 0 = 2
Answer: 216
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Problem 5: 920 - 72
Ones: 0 - 2 → borrow from tens. Tens is 2 → becomes 1, ones become 10 → 10 - 2 = 8
Tens: 1 - 7 → can’t do → borrow from hundreds. Hundreds is 9 → becomes 8, tens become 11 → 11 - 7 = 4
Hundreds: 8 - 0 = 8
Answer: 848
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Problem 6: 270 - 75
Ones: 0 - 5 → borrow from tens. Tens is 7 → becomes 6, ones become 10 → 10 - 5 = 5
Tens: 6 - 7 → can’t do → borrow from hundreds. Hundreds is 2 → becomes 1, tens become 16 → 16 - 7 = 9
Hundreds: 1 - 0 = 1
Answer: 195
---
Problem 7: 338 + 27
Ones: 8 + 7 = 15 → write 5, carry 1
Tens: 3 + 2 + 1 = 6
Hundreds: 3 + 0 = 3
Answer: 365
---
Problem 8: 433 - 17
Ones: 3 - 7 → borrow from tens. Tens is 3 → becomes 2, ones become 13 → 13 - 7 = 6
Tens: 2 - 1 = 1
Hundreds: 4 - 0 = 4
Answer: 416
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Problem 9: 828 - 27
Ones: 8 - 7 = 1
Tens: 2 - 2 = 0
Hundreds: 8 - 0 = 8
Answer: 801
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Problem 10: 614 - 47
Ones: 4 - 7 → borrow from tens. Tens is 1 → becomes 0, ones become 14 → 14 - 7 = 7
Tens: 0 - 4 → can’t do → borrow from hundreds. Hundreds is 6 → becomes 5, tens become 10 → 10 - 4 = 6
Hundreds: 5 - 0 = 5
Answer: 567
---
Problem 11: 783 - 87
Ones: 3 - 7 → borrow from tens. Tens is 8 → becomes 7, ones become 13 → 13 - 7 = 6
Tens: 7 - 8 → can’t do → borrow from hundreds. Hundreds is 7 → becomes 6, tens become 17 → 17 - 8 = 9
Hundreds: 6 - 0 = 6
Answer: 696
---
Problem 12: 380 - 16
Ones: 0 - 6 → borrow from tens. Tens is 8 → becomes 7, ones become 10 → 10 - 6 = 4
Tens: 7 - 1 = 6
Hundreds: 3 - 0 = 3
Answer: 364
---
Problem 13: 698 - 27
Ones: 8 - 7 = 1
Tens: 9 - 2 = 7
Hundreds: 6 - 0 = 6
Answer: 671
---
Problem 14: 966 - 29
Ones: 6 - 9 → borrow from tens. Tens is 6 → becomes 5, ones become 16 → 16 - 9 = 7
Tens: 5 - 2 = 3
Hundreds: 9 - 0 = 9
Answer: 937
---
Problem 15: 536 + 15
Ones: 6 + 5 = 11 → write 1, carry 1
Tens: 3 + 1 + 1 = 5
Hundreds: 5 + 0 = 5
Answer: 551
---
Problem 16: 783 - 38
Ones: 3 - 8 → borrow from tens. Tens is 8 → becomes 7, ones become 13 → 13 - 8 = 5
Tens: 7 - 3 = 4
Hundreds: 7 - 0 = 7
Answer: 745
---
Final Answer:
1. 665
2. 493
3. 865
4. 216
5. 848
6. 195
7. 365
8. 416
9. 801
10. 567
11. 696
12. 364
13. 671
14. 937
15. 551
16. 745
---
Problem 1: 606 + 59
Start from the right:
- Ones place: 6 + 9 = 15 → write down 5, carry over 1
- Tens place: 0 + 5 = 5, plus the carried 1 = 6
- Hundreds place: 6 + 0 = 6
Answer: 665
---
Problem 2: 592 - 99
Ones place: 2 - 9 → can’t do, so borrow from tens.
But tens digit is 9 → borrow from hundreds.
Hundreds: 5 becomes 4
Tens: 9 becomes 8, then we lend 1 to ones → tens become 7? Wait — let’s do it carefully:
Actually:
- Borrow 1 from hundreds (5→4), give to tens → tens become 19? No — better way:
Break it down:
592 - 99 = ?
Think of 99 as 100 - 1 → so 592 - 100 = 492, then add back 1 → 493
Or column-wise:
Ones: 2 < 9 → borrow from tens. But tens is 9 → so borrow from hundreds.
Hundreds: 5 → 4
Tens: 9 → 8, but now we need to lend to ones → so tens become 8, ones get 12 (since 2+10=12)
Now:
Ones: 12 - 9 = 3
Tens: 8 - 9 → can’t do! So borrow from hundreds again? Wait — hundreds is already 4.
Wait — mistake here. Let me redo:
Original: 592
Minus: 99
Align:
5 9 2
- 9 9
--------
Ones: 2 - 9 → borrow from tens. Tens is 9 → so tens become 8, ones become 12 → 12 - 9 = 3
Tens: 8 - 9 → can’t do → borrow from hundreds. Hundreds is 5 → becomes 4, tens become 18 → 18 - 9 = 9
Hundreds: 4 - 0 = 4
So answer: 493
Yes, that matches the shortcut method.
---
Problem 3: 783 + 82
Ones: 3 + 2 = 5
Tens: 8 + 8 = 16 → write 6, carry 1
Hundreds: 7 + 0 + 1 = 8
Answer: 865
---
Problem 4: 275 - 59
Ones: 5 - 9 → borrow from tens. Tens is 7 → becomes 6, ones become 15 → 15 - 9 = 6
Tens: 6 - 5 = 1
Hundreds: 2 - 0 = 2
Answer: 216
---
Problem 5: 920 - 72
Ones: 0 - 2 → borrow from tens. Tens is 2 → becomes 1, ones become 10 → 10 - 2 = 8
Tens: 1 - 7 → can’t do → borrow from hundreds. Hundreds is 9 → becomes 8, tens become 11 → 11 - 7 = 4
Hundreds: 8 - 0 = 8
Answer: 848
---
Problem 6: 270 - 75
Ones: 0 - 5 → borrow from tens. Tens is 7 → becomes 6, ones become 10 → 10 - 5 = 5
Tens: 6 - 7 → can’t do → borrow from hundreds. Hundreds is 2 → becomes 1, tens become 16 → 16 - 7 = 9
Hundreds: 1 - 0 = 1
Answer: 195
---
Problem 7: 338 + 27
Ones: 8 + 7 = 15 → write 5, carry 1
Tens: 3 + 2 + 1 = 6
Hundreds: 3 + 0 = 3
Answer: 365
---
Problem 8: 433 - 17
Ones: 3 - 7 → borrow from tens. Tens is 3 → becomes 2, ones become 13 → 13 - 7 = 6
Tens: 2 - 1 = 1
Hundreds: 4 - 0 = 4
Answer: 416
---
Problem 9: 828 - 27
Ones: 8 - 7 = 1
Tens: 2 - 2 = 0
Hundreds: 8 - 0 = 8
Answer: 801
---
Problem 10: 614 - 47
Ones: 4 - 7 → borrow from tens. Tens is 1 → becomes 0, ones become 14 → 14 - 7 = 7
Tens: 0 - 4 → can’t do → borrow from hundreds. Hundreds is 6 → becomes 5, tens become 10 → 10 - 4 = 6
Hundreds: 5 - 0 = 5
Answer: 567
---
Problem 11: 783 - 87
Ones: 3 - 7 → borrow from tens. Tens is 8 → becomes 7, ones become 13 → 13 - 7 = 6
Tens: 7 - 8 → can’t do → borrow from hundreds. Hundreds is 7 → becomes 6, tens become 17 → 17 - 8 = 9
Hundreds: 6 - 0 = 6
Answer: 696
---
Problem 12: 380 - 16
Ones: 0 - 6 → borrow from tens. Tens is 8 → becomes 7, ones become 10 → 10 - 6 = 4
Tens: 7 - 1 = 6
Hundreds: 3 - 0 = 3
Answer: 364
---
Problem 13: 698 - 27
Ones: 8 - 7 = 1
Tens: 9 - 2 = 7
Hundreds: 6 - 0 = 6
Answer: 671
---
Problem 14: 966 - 29
Ones: 6 - 9 → borrow from tens. Tens is 6 → becomes 5, ones become 16 → 16 - 9 = 7
Tens: 5 - 2 = 3
Hundreds: 9 - 0 = 9
Answer: 937
---
Problem 15: 536 + 15
Ones: 6 + 5 = 11 → write 1, carry 1
Tens: 3 + 1 + 1 = 5
Hundreds: 5 + 0 = 5
Answer: 551
---
Problem 16: 783 - 38
Ones: 3 - 8 → borrow from tens. Tens is 8 → becomes 7, ones become 13 → 13 - 8 = 5
Tens: 7 - 3 = 4
Hundreds: 7 - 0 = 7
Answer: 745
---
Final Answer:
1. 665
2. 493
3. 865
4. 216
5. 848
6. 195
7. 365
8. 416
9. 801
10. 567
11. 696
12. 364
13. 671
14. 937
15. 551
16. 745
Parent Tip: Review the logic above to help your child master the concept of 2nd grade math worksheet subtraction with regrouping.
