4 Digit Subtraction with regrouping - skoolon.com - Free Printable
Educational worksheet: 4 Digit Subtraction with regrouping - skoolon.com. Download and print for classroom or home learning activities.
JPG
1000×1500
126.3 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #978072
⭐
Show Answer Key & Explanations
Step-by-step solution for: 4 Digit Subtraction with regrouping - skoolon.com
▼
Show Answer Key & Explanations
Step-by-step solution for: 4 Digit Subtraction with regrouping - skoolon.com
Let's solve each of the 4-digit subtraction problems with regrouping step by step. We'll follow the standard subtraction method, borrowing (regrouping) when necessary.
---
```
Th H T O
9 1 7 3
- 5 2 6 8
---------
```
- Ones place: 3 – 8 → Can't do, borrow from tens.
- Tens digit (7) becomes 6, ones become 13.
- 13 – 8 = 5
- Tens place: 6 – 6 = 0
- Hundreds place: 1 – 2 → Can't do, borrow from thousands.
- Thousands (9) becomes 8, hundreds become 11.
- 11 – 2 = 9
- Thousands place: 8 – 5 = 3
✔ Answer: 3905 ✔ (Matches the given example)
---
```
Th H T O
6 5 2 0
- 8 6 8
---------
```
We align:
```
6 5 2 0
- 0 8 6 8
---------
```
- Ones: 0 – 8 → Borrow from tens. Tens is 2 → becomes 1, ones become 10.
- 10 – 8 = 2
- Tens: 1 – 6 → Can't do, borrow from hundreds.
- Hundreds (5) becomes 4, tens become 11.
- 11 – 6 = 5
- Hundreds: 4 – 8 → Can't do, borrow from thousands.
- Thousands (6) becomes 5, hundreds become 14.
- 14 – 8 = 6
- Thousands: 5 – 0 = 5
✔ Answer: 5652
---
```
Th H T O
7 0 2 4
- 3 7 6 8
---------
```
- Ones: 4 – 8 → Borrow from tens. Tens is 2 → becomes 1, ones become 14.
- 14 – 8 = 6
- Tens: 1 – 6 → Can't do, borrow from hundreds.
- Hundreds is 0 → need to borrow from thousands.
- Thousands (7) → 6, hundreds → 10.
- Now borrow from hundreds: hundreds become 9, tens become 11.
- 11 – 6 = 5
- Hundreds: 9 – 7 = 2
- Thousands: 6 – 3 = 3
✔ Answer: 3256
---
```
Th H T O
8 0 0 0
- 2 9 9 1
---------
```
- Ones: 0 – 1 → Borrow from tens → but tens is 0 → borrow from hundreds → which is also 0 → borrow from thousands.
- Thousands: 8 → 7, hundreds: 0 → 10
- But we need to go down: hundreds → 9, tens → 10, then ones → 10
- So: ones → 10 – 1 = 9
- Tens: 9 – 9 = 0
- Hundreds: 9 – 9 = 0
- Thousands: 7 – 2 = 5
✔ Answer: 5009
---
```
Th H T O
5 4 3 2
- 2 3 4 5
---------
```
- Ones: 2 – 5 → Borrow → 12 – 5 = 7, tens becomes 2
- Tens: 2 – 4 → Borrow → 12 – 4 = 8, hundreds becomes 3
- Hundreds: 3 – 3 = 0
- Thousands: 5 – 2 = 3
✔ Answer: 3087
---
```
Th H T O
9 6 2 8
- 5 7 6 9
---------
```
- Ones: 8 – 9 → Borrow → 18 – 9 = 9, tens becomes 1
- Tens: 1 – 6 → Borrow → 11 – 6 = 5, hundreds becomes 5
- Hundreds: 5 – 7 → Borrow → 15 – 7 = 8, thousands becomes 8
- Thousands: 8 – 5 = 3
✔ Answer: 3859
---
```
Th H T O
4 0 2 0
- 1 0 6 4
---------
```
- Ones: 0 – 4 → Borrow → 10 – 4 = 6, tens becomes 1
- Tens: 1 – 6 → Borrow → 11 – 6 = 5, hundreds becomes 9 (since 0 → borrow from thousands)
- Thousands: 4 → 3, hundreds: 0 → 10, then borrow → 9
- Hundreds: 9 – 0 = 9
- Thousands: 3 – 1 = 2
✔ Answer: 2956
---
```
Th H T O
6 0 0 0
- 5
---------
```
→ Same as 6000 – 0005
- Ones: 0 – 5 → Borrow → 10 – 5 = 5, tens becomes 9
- Tens: 9 – 0 = 9
- Hundreds: 9 – 0 = 9
- Thousands: 5 – 0 = 5
✔ Answer: 5995
---
```
Th H T O
3 0 6 0
- 1 5 8 6
---------
```
- Ones: 0 – 6 → Borrow → 10 – 6 = 4, tens becomes 5
- Tens: 5 – 8 → Borrow → 15 – 8 = 7, hundreds becomes 9 (after borrowing)
- Hundreds: 9 – 5 = 4
- Thousands: 3 – 1 = 2
✔ Answer: 1474
---
```
Th H T O
6 3 1 2
- 1 2 3 6
---------
```
- Ones: 2 – 6 → Borrow → 12 – 6 = 6, tens becomes 0
- Tens: 0 – 3 → Borrow → 10 – 3 = 7, hundreds becomes 2
- Hundreds: 2 – 2 = 0
- Thousands: 6 – 1 = 5
✔ Answer: 5076
---
```
Th H T O
4 3 2 1
- 1 2 3 4
---------
```
- Ones: 1 – 4 → Borrow → 11 – 4 = 7, tens becomes 1
- Tens: 1 – 3 → Borrow → 11 – 3 = 8, hundreds becomes 2
- Hundreds: 2 – 2 = 0
- Thousands: 4 – 1 = 3
✔ Answer: 3087
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 9173 – 5268 | 3905 |
| 6520 – 868 | 5652 |
| 7024 – 3768 | 3256 |
| 8000 – 2991 | 5009 |
| 5432 – 2345 | 3087 |
| 9628 – 5769 | 3859 |
| 4020 – 1064 | 2956 |
| 6000 – 5 | 5995 |
| 3060 – 1586 | 1474 |
| 6312 – 1236 | 5076 |
| 4321 – 1234 | 3087 |
---
Let me know if you'd like a printable version or want these explained visually!
---
1. 9173 – 5268
```
Th H T O
9 1 7 3
- 5 2 6 8
---------
```
- Ones place: 3 – 8 → Can't do, borrow from tens.
- Tens digit (7) becomes 6, ones become 13.
- 13 – 8 = 5
- Tens place: 6 – 6 = 0
- Hundreds place: 1 – 2 → Can't do, borrow from thousands.
- Thousands (9) becomes 8, hundreds become 11.
- 11 – 2 = 9
- Thousands place: 8 – 5 = 3
✔ Answer: 3905 ✔ (Matches the given example)
---
2. 6520 – 868
```
Th H T O
6 5 2 0
- 8 6 8
---------
```
We align:
```
6 5 2 0
- 0 8 6 8
---------
```
- Ones: 0 – 8 → Borrow from tens. Tens is 2 → becomes 1, ones become 10.
- 10 – 8 = 2
- Tens: 1 – 6 → Can't do, borrow from hundreds.
- Hundreds (5) becomes 4, tens become 11.
- 11 – 6 = 5
- Hundreds: 4 – 8 → Can't do, borrow from thousands.
- Thousands (6) becomes 5, hundreds become 14.
- 14 – 8 = 6
- Thousands: 5 – 0 = 5
✔ Answer: 5652
---
3. 7024 – 3768
```
Th H T O
7 0 2 4
- 3 7 6 8
---------
```
- Ones: 4 – 8 → Borrow from tens. Tens is 2 → becomes 1, ones become 14.
- 14 – 8 = 6
- Tens: 1 – 6 → Can't do, borrow from hundreds.
- Hundreds is 0 → need to borrow from thousands.
- Thousands (7) → 6, hundreds → 10.
- Now borrow from hundreds: hundreds become 9, tens become 11.
- 11 – 6 = 5
- Hundreds: 9 – 7 = 2
- Thousands: 6 – 3 = 3
✔ Answer: 3256
---
4. 8000 – 2991
```
Th H T O
8 0 0 0
- 2 9 9 1
---------
```
- Ones: 0 – 1 → Borrow from tens → but tens is 0 → borrow from hundreds → which is also 0 → borrow from thousands.
- Thousands: 8 → 7, hundreds: 0 → 10
- But we need to go down: hundreds → 9, tens → 10, then ones → 10
- So: ones → 10 – 1 = 9
- Tens: 9 – 9 = 0
- Hundreds: 9 – 9 = 0
- Thousands: 7 – 2 = 5
✔ Answer: 5009
---
5. 5432 – 2345
```
Th H T O
5 4 3 2
- 2 3 4 5
---------
```
- Ones: 2 – 5 → Borrow → 12 – 5 = 7, tens becomes 2
- Tens: 2 – 4 → Borrow → 12 – 4 = 8, hundreds becomes 3
- Hundreds: 3 – 3 = 0
- Thousands: 5 – 2 = 3
✔ Answer: 3087
---
6. 9628 – 5769
```
Th H T O
9 6 2 8
- 5 7 6 9
---------
```
- Ones: 8 – 9 → Borrow → 18 – 9 = 9, tens becomes 1
- Tens: 1 – 6 → Borrow → 11 – 6 = 5, hundreds becomes 5
- Hundreds: 5 – 7 → Borrow → 15 – 7 = 8, thousands becomes 8
- Thousands: 8 – 5 = 3
✔ Answer: 3859
---
7. 4020 – 1064
```
Th H T O
4 0 2 0
- 1 0 6 4
---------
```
- Ones: 0 – 4 → Borrow → 10 – 4 = 6, tens becomes 1
- Tens: 1 – 6 → Borrow → 11 – 6 = 5, hundreds becomes 9 (since 0 → borrow from thousands)
- Thousands: 4 → 3, hundreds: 0 → 10, then borrow → 9
- Hundreds: 9 – 0 = 9
- Thousands: 3 – 1 = 2
✔ Answer: 2956
---
8. 6000 – 5
```
Th H T O
6 0 0 0
- 5
---------
```
→ Same as 6000 – 0005
- Ones: 0 – 5 → Borrow → 10 – 5 = 5, tens becomes 9
- Tens: 9 – 0 = 9
- Hundreds: 9 – 0 = 9
- Thousands: 5 – 0 = 5
✔ Answer: 5995
---
9. 3060 – 1586
```
Th H T O
3 0 6 0
- 1 5 8 6
---------
```
- Ones: 0 – 6 → Borrow → 10 – 6 = 4, tens becomes 5
- Tens: 5 – 8 → Borrow → 15 – 8 = 7, hundreds becomes 9 (after borrowing)
- Hundreds: 9 – 5 = 4
- Thousands: 3 – 1 = 2
✔ Answer: 1474
---
10. 6312 – 1236
```
Th H T O
6 3 1 2
- 1 2 3 6
---------
```
- Ones: 2 – 6 → Borrow → 12 – 6 = 6, tens becomes 0
- Tens: 0 – 3 → Borrow → 10 – 3 = 7, hundreds becomes 2
- Hundreds: 2 – 2 = 0
- Thousands: 6 – 1 = 5
✔ Answer: 5076
---
11. 4321 – 1234
```
Th H T O
4 3 2 1
- 1 2 3 4
---------
```
- Ones: 1 – 4 → Borrow → 11 – 4 = 7, tens becomes 1
- Tens: 1 – 3 → Borrow → 11 – 3 = 8, hundreds becomes 2
- Hundreds: 2 – 2 = 0
- Thousands: 4 – 1 = 3
✔ Answer: 3087
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 9173 – 5268 | 3905 |
| 6520 – 868 | 5652 |
| 7024 – 3768 | 3256 |
| 8000 – 2991 | 5009 |
| 5432 – 2345 | 3087 |
| 9628 – 5769 | 3859 |
| 4020 – 1064 | 2956 |
| 6000 – 5 | 5995 |
| 3060 – 1586 | 1474 |
| 6312 – 1236 | 5076 |
| 4321 – 1234 | 3087 |
---
Let me know if you'd like a printable version or want these explained visually!
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet with regrouping for 3rd grade.