Subtract Two 3-Digit Numbers with Regrouping: Vertical Subtraction ... - Free Printable
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Step-by-step solution for: Subtract Two 3-Digit Numbers with Regrouping: Vertical Subtraction ...
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Show Answer Key & Explanations
Step-by-step solution for: Subtract Two 3-Digit Numbers with Regrouping: Vertical Subtraction ...
Sure! Let’s solve each of the 16 subtraction problems on the worksheet “Subtract Two 3-Digit Numbers with Regrouping” step by step. Since regrouping (also called “borrowing”) is required in many of these, I’ll explain the process clearly for each one.
---
```
930
- 822
------
```
- Ones place: 0 – 2 → Can’t do, so borrow from tens.
- Tens digit is 3 → becomes 2, ones become 10.
- 10 – 2 = 8
- Tens place: 2 – 2 = 0
- Hundreds place: 9 – 8 = 1
✔ Answer: 108
---
```
752
- 449
------
```
- Ones: 2 – 9 → borrow → 12 – 9 = 3, tens becomes 4
- Tens: 4 – 4 = 0
- Hundreds: 7 – 4 = 3
✔ Answer: 303
---
```
983
- 878
------
```
- Ones: 3 – 8 → borrow → 13 – 8 = 5, tens becomes 7
- Tens: 7 – 7 = 0
- Hundreds: 9 – 8 = 1
✔ Answer: 105
---
```
927
- 619
------
```
- Ones: 7 – 9 → borrow → 17 – 9 = 8, tens becomes 1
- Tens: 1 – 1 = 0
- Hundreds: 9 – 6 = 3
✔ Answer: 308
---
```
857
- 192
------
```
- Ones: 7 – 2 = 5
- Tens: 5 – 9 → borrow → 15 – 9 = 6, hundreds becomes 7
- Hundreds: 7 – 1 = 6
✔ Answer: 665
---
```
877
- 559
------
```
- Ones: 7 – 9 → borrow → 17 – 9 = 8, tens becomes 6
- Tens: 6 – 5 = 1
- Hundreds: 8 – 5 = 3
✔ Answer: 318
---
```
922
- 819
------
```
- Ones: 2 – 9 → borrow → 12 – 9 = 3, tens becomes 1
- Tens: 1 – 1 = 0
- Hundreds: 9 – 8 = 1
✔ Answer: 103
---
```
338
- 268
------
```
- Ones: 8 – 8 = 0
- Tens: 3 – 6 → borrow → 13 – 6 = 7, hundreds becomes 2
- Hundreds: 2 – 2 = 0
✔ Answer: 70
---
```
501
- 480
------
```
- Ones: 1 – 0 = 1
- Tens: 0 – 8 → borrow → 10 – 8 = 2, hundreds becomes 4
- Hundreds: 4 – 4 = 0
✔ Answer: 21
---
```
955
- 371
------
```
- Ones: 5 – 1 = 4
- Tens: 5 – 7 → borrow → 15 – 7 = 8, hundreds becomes 8
- Hundreds: 8 – 3 = 5
✔ Answer: 584
---
```
702
- 611
------
```
- Ones: 2 – 1 = 1
- Tens: 0 – 1 → borrow → 10 – 1 = 9, hundreds becomes 6
- Hundreds: 6 – 6 = 0
✔ Answer: 91
---
```
724
- 662
------
```
- Ones: 4 – 2 = 2
- Tens: 2 – 6 → borrow → 12 – 6 = 6, hundreds becomes 6
- Hundreds: 6 – 6 = 0
✔ Answer: 62
---
```
603
- 214
------
```
- Ones: 3 – 4 → borrow → 13 – 4 = 9, tens becomes 9 (since 0 became 9 after borrowing from hundreds)
- Tens: 9 – 1 = 8
- Hundreds: 5 – 2 = 3 (because we borrowed 1 from 6)
✔ Answer: 389
---
```
624
- 136
------
```
- Ones: 4 – 6 → borrow → 14 – 6 = 8, tens becomes 1
- Tens: 1 – 3 → borrow → 11 – 3 = 8, hundreds becomes 5
- Hundreds: 5 – 1 = 4
✔ Answer: 488
---
```
645
- 446
------
```
- Ones: 5 – 6 → borrow → 15 – 6 = 9, tens becomes 3
- Tens: 3 – 4 → borrow → 13 – 4 = 9, hundreds becomes 5
- Hundreds: 5 – 4 = 1
✔ Answer: 199
---
```
813
- 178
------
```
- Ones: 3 – 8 → borrow → 13 – 8 = 5, tens becomes 0
- Tens: 0 – 7 → borrow → 10 – 7 = 3, hundreds becomes 7
- Hundreds: 7 – 1 = 6
✔ Answer: 635
---
## ✔ Final Answers (in order):
1. 108
2. 303
3. 105
4. 308
5. 665
6. 318
7. 103
8. 70
9. 21
10. 584
11. 91
12. 62
13. 389
14. 488
15. 199
16. 635
---
📌 Tip for Regrouping: Always start from the rightmost digit (ones) and move left. If a digit in the top number is smaller than the bottom, borrow 1 from the next higher place value — this turns the current digit into “10 + original digit”, and reduces the next column by 1.
Let me know if you’d like to see any problem worked out visually or with a diagram! 😊
---
🔢 Problem 1: 930 – 822
```
930
- 822
------
```
- Ones place: 0 – 2 → Can’t do, so borrow from tens.
- Tens digit is 3 → becomes 2, ones become 10.
- 10 – 2 = 8
- Tens place: 2 – 2 = 0
- Hundreds place: 9 – 8 = 1
✔ Answer: 108
---
🔢 Problem 2: 752 – 449
```
752
- 449
------
```
- Ones: 2 – 9 → borrow → 12 – 9 = 3, tens becomes 4
- Tens: 4 – 4 = 0
- Hundreds: 7 – 4 = 3
✔ Answer: 303
---
🔢 Problem 3: 983 – 878
```
983
- 878
------
```
- Ones: 3 – 8 → borrow → 13 – 8 = 5, tens becomes 7
- Tens: 7 – 7 = 0
- Hundreds: 9 – 8 = 1
✔ Answer: 105
---
🔢 Problem 4: 927 – 619
```
927
- 619
------
```
- Ones: 7 – 9 → borrow → 17 – 9 = 8, tens becomes 1
- Tens: 1 – 1 = 0
- Hundreds: 9 – 6 = 3
✔ Answer: 308
---
🔢 Problem 5: 857 – 192
```
857
- 192
------
```
- Ones: 7 – 2 = 5
- Tens: 5 – 9 → borrow → 15 – 9 = 6, hundreds becomes 7
- Hundreds: 7 – 1 = 6
✔ Answer: 665
---
🔢 Problem 6: 877 – 559
```
877
- 559
------
```
- Ones: 7 – 9 → borrow → 17 – 9 = 8, tens becomes 6
- Tens: 6 – 5 = 1
- Hundreds: 8 – 5 = 3
✔ Answer: 318
---
🔢 Problem 7: 922 – 819
```
922
- 819
------
```
- Ones: 2 – 9 → borrow → 12 – 9 = 3, tens becomes 1
- Tens: 1 – 1 = 0
- Hundreds: 9 – 8 = 1
✔ Answer: 103
---
🔢 Problem 8: 338 – 268
```
338
- 268
------
```
- Ones: 8 – 8 = 0
- Tens: 3 – 6 → borrow → 13 – 6 = 7, hundreds becomes 2
- Hundreds: 2 – 2 = 0
✔ Answer: 70
---
🔢 Problem 9: 501 – 480
```
501
- 480
------
```
- Ones: 1 – 0 = 1
- Tens: 0 – 8 → borrow → 10 – 8 = 2, hundreds becomes 4
- Hundreds: 4 – 4 = 0
✔ Answer: 21
---
🔢 Problem 10: 955 – 371
```
955
- 371
------
```
- Ones: 5 – 1 = 4
- Tens: 5 – 7 → borrow → 15 – 7 = 8, hundreds becomes 8
- Hundreds: 8 – 3 = 5
✔ Answer: 584
---
🔢 Problem 11: 702 – 611
```
702
- 611
------
```
- Ones: 2 – 1 = 1
- Tens: 0 – 1 → borrow → 10 – 1 = 9, hundreds becomes 6
- Hundreds: 6 – 6 = 0
✔ Answer: 91
---
🔢 Problem 12: 724 – 662
```
724
- 662
------
```
- Ones: 4 – 2 = 2
- Tens: 2 – 6 → borrow → 12 – 6 = 6, hundreds becomes 6
- Hundreds: 6 – 6 = 0
✔ Answer: 62
---
🔢 Problem 13: 603 – 214
```
603
- 214
------
```
- Ones: 3 – 4 → borrow → 13 – 4 = 9, tens becomes 9 (since 0 became 9 after borrowing from hundreds)
- Tens: 9 – 1 = 8
- Hundreds: 5 – 2 = 3 (because we borrowed 1 from 6)
✔ Answer: 389
---
🔢 Problem 14: 624 – 136
```
624
- 136
------
```
- Ones: 4 – 6 → borrow → 14 – 6 = 8, tens becomes 1
- Tens: 1 – 3 → borrow → 11 – 3 = 8, hundreds becomes 5
- Hundreds: 5 – 1 = 4
✔ Answer: 488
---
🔢 Problem 15: 645 – 446
```
645
- 446
------
```
- Ones: 5 – 6 → borrow → 15 – 6 = 9, tens becomes 3
- Tens: 3 – 4 → borrow → 13 – 4 = 9, hundreds becomes 5
- Hundreds: 5 – 4 = 1
✔ Answer: 199
---
🔢 Problem 16: 813 – 178
```
813
- 178
------
```
- Ones: 3 – 8 → borrow → 13 – 8 = 5, tens becomes 0
- Tens: 0 – 7 → borrow → 10 – 7 = 3, hundreds becomes 7
- Hundreds: 7 – 1 = 6
✔ Answer: 635
---
## ✔ Final Answers (in order):
1. 108
2. 303
3. 105
4. 308
5. 665
6. 318
7. 103
8. 70
9. 21
10. 584
11. 91
12. 62
13. 389
14. 488
15. 199
16. 635
---
📌 Tip for Regrouping: Always start from the rightmost digit (ones) and move left. If a digit in the top number is smaller than the bottom, borrow 1 from the next higher place value — this turns the current digit into “10 + original digit”, and reduces the next column by 1.
Let me know if you’d like to see any problem worked out visually or with a diagram! 😊
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet with regrouping three digit.