4 Digit Subtraction With Regrouping - Borrowing - 9 Worksheets ... - Free Printable
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Step-by-step solution for: 4 Digit Subtraction With Regrouping - Borrowing - 9 Worksheets ...
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Show Answer Key & Explanations
Step-by-step solution for: 4 Digit Subtraction With Regrouping - Borrowing - 9 Worksheets ...
Let's solve each subtraction problem step by step. We'll subtract the bottom number from the top number in each column.
---
```
9080
- 4789
------
4291
```
Explanation:
- 0 - 9 → borrow: 10 - 9 = 1, but we need to borrow from left.
- 8 becomes 7, 0 becomes 10 → 10 - 9 = 1
- 7 (after borrow) - 8 → can't do, borrow again: 17 - 8 = 9
- 0 becomes 9 after borrow, then 9 - 7 = 2
- 9 - 4 = 5
Wait, let's do it properly:
```
9080
- 4789
------
```
Start from right:
- 0 - 9 → borrow: 10 - 9 = 1, 8 becomes 7
- 7 - 8 → can't, borrow: 17 - 8 = 9, 0 becomes 9
- 9 - 7 = 2
- 8 - 4 = 4
Wait — actually, after borrowing, the thousands place: 9 - 4 = 5?
Wait — let’s write it clearly:
```
9080
- 4789
------
```
Step-by-step:
- Units: 0 - 9 → borrow → 10 - 9 = 1 → tens digit (8) becomes 7
- Tens: 7 - 8 → can’t → borrow from hundreds → 17 - 8 = 9 → hundreds digit (0) becomes 9
- Hundreds: 9 - 7 = 2
- Thousands: 9 - 4 = 5
So: 4291
✔ Answer: 4291
---
```
9070
- 4469
------
4601
```
- 0 - 9 → borrow → 10 - 9 = 1, 7 becomes 6
- 6 - 6 = 0
- 0 - 4 → borrow → 10 - 4 = 6, 9 becomes 8
- 8 - 4 = 4
Wait: thousands: 9 → becomes 8 after borrow, 8 - 4 = 4
So: 4601
✔ Answer: 4601
---
```
9060
- 3569
------
5491
```
- 0 - 9 → borrow → 10 - 9 = 1, 6 becomes 5
- 5 - 6 → borrow → 15 - 6 = 9, 0 becomes 9
- 9 - 5 = 4
- 9 - 3 = 6
Wait: thousands: 9 - 3 = 6? But after borrow, is it still 9?
Actually: hundreds digit was 0, borrowed → becomes 9, then 9 - 5 = 4
Thousands: 9 - 3 = 6
But wait: 9060 - 3569:
- 0 - 9 → borrow → 10 - 9 = 1 → tens digit 6 → 5
- 5 - 6 → borrow → 15 - 6 = 9 → hundreds digit 0 → borrow → becomes 9
- 9 - 5 = 4
- 8 (after borrow) - 3 = 5
Wait! After borrowing from thousands, thousands digit becomes 8
So:
- 9060 → after borrowing for hundreds: 8|10|5|10
- Subtract: 3|5|6|9
So:
- Units: 10 - 9 = 1
- Tens: 5 - 6 → can't → borrow → 15 - 6 = 9 → hundreds becomes 9
- Hundreds: 9 - 5 = 4
- Thousands: 8 - 3 = 5
So: 5491
✔ Answer: 5491
---
```
9080
- 2978
------
6102
```
- 0 - 8 → borrow → 10 - 8 = 2 → 8 becomes 7
- 7 - 7 = 0
- 0 - 9 → borrow → 10 - 9 = 1 → 9 becomes 8
- 8 - 2 = 6
So: 6102
✔ Answer: 6102
---
```
9050
- 1388
------
7662
```
- 0 - 8 → borrow → 10 - 8 = 2 → 5 becomes 4
- 4 - 8 → borrow → 14 - 8 = 6 → 0 becomes 9
- 9 - 3 = 6
- 8 - 1 = 7
So: 7662
✔ Answer: 7662
---
```
9040
- 4779
------
4261
```
- 0 - 9 → borrow → 10 - 9 = 1 → 4 becomes 3
- 3 - 7 → borrow → 13 - 7 = 6 → 0 becomes 9
- 9 - 7 = 2
- 8 - 4 = 4
So: 4261
✔ Answer: 4261
---
```
9060
- 5898
------
3162
```
- 0 - 8 → borrow → 10 - 8 = 2 → 6 becomes 5
- 5 - 9 → borrow → 15 - 9 = 6 → 0 becomes 9
- 9 - 8 = 1
- 8 - 5 = 3
So: 3162
✔ Answer: 3162
---
```
9080
- 4556
------
4524
```
- 0 - 6 → borrow → 10 - 6 = 4 → 8 becomes 7
- 7 - 5 = 2
- 0 - 5 → borrow → 10 - 5 = 5 → 9 becomes 8
- 8 - 4 = 4
So: 4524
✔ Answer: 4524
---
```
9040
- 3588
------
5452
```
- 0 - 8 → borrow → 10 - 8 = 2 → 4 becomes 3
- 3 - 8 → borrow → 13 - 8 = 5 → 0 becomes 9
- 9 - 5 = 4
- 8 - 3 = 5
So: 5452
✔ Answer: 5452
---
```
9060
- 2978
------
6082
```
- 0 - 8 → borrow → 10 - 8 = 2 → 6 becomes 5
- 5 - 7 → borrow → 15 - 7 = 8 → 0 becomes 9
- 9 - 9 = 0
- 8 - 2 = 6
So: 6082
✔ Answer: 6082
---
```
9070
- 1776
------
7294
```
- 0 - 6 → borrow → 10 - 6 = 4 → 7 becomes 6
- 6 - 7 → borrow → 16 - 7 = 9 → 0 becomes 9
- 9 - 7 = 2
- 8 - 1 = 7
So: 7294
✔ Answer: 7294
---
```
9060
- 2964
------
6096
```
- 0 - 4 → borrow → 10 - 4 = 6 → 6 becomes 5
- 5 - 6 → borrow → 15 - 6 = 9 → 0 becomes 9
- 9 - 9 = 0
- 8 - 2 = 6
So: 6096
✔ Answer: 6096
---
```
9090
- 3743
------
5347
```
- 0 - 3 → borrow → 10 - 3 = 7 → 9 becomes 8
- 8 - 4 = 4
- 0 - 7 → borrow → 10 - 7 = 3 → 9 becomes 8
- 8 - 3 = 5
So: 5347
✔ Answer: 5347
---
```
9060
- 4279
------
4781
```
- 0 - 9 → borrow → 10 - 9 = 1 → 6 becomes 5
- 5 - 7 → borrow → 15 - 7 = 8 → 0 becomes 9
- 9 - 2 = 7
- 8 - 4 = 4
So: 4781
✔ Answer: 4781
---
```
9090
- 5968
------
3122
```
- 0 - 8 → borrow → 10 - 8 = 2 → 9 becomes 8
- 8 - 6 = 2
- 0 - 9 → borrow → 10 - 9 = 1 → 9 becomes 8
- 8 - 5 = 3
So: 3122
✔ Answer: 3122
---
Here are all the solutions:
1. 9080 - 4789 = 4291
2. 9070 - 4469 = 4601
3. 9060 - 3569 = 5491
4. 9080 - 2978 = 6102
5. 9050 - 1388 = 7662
6. 9040 - 4779 = 4261
7. 9060 - 5898 = 3162
8. 9080 - 4556 = 4524
9. 9040 - 3588 = 5452
10. 9060 - 2978 = 6082
11. 9070 - 1776 = 7294
12. 9060 - 2964 = 6096
13. 9090 - 3743 = 5347
14. 9060 - 4279 = 4781
15. 9090 - 5968 = 3122
You can now fill these answers into the grid on the worksheet. Let me know if you'd like a printable version or explanation for any specific one!
---
1. 9080 - 4789
```
9080
- 4789
------
4291
```
Explanation:
- 0 - 9 → borrow: 10 - 9 = 1, but we need to borrow from left.
- 8 becomes 7, 0 becomes 10 → 10 - 9 = 1
- 7 (after borrow) - 8 → can't do, borrow again: 17 - 8 = 9
- 0 becomes 9 after borrow, then 9 - 7 = 2
- 9 - 4 = 5
Wait, let's do it properly:
```
9080
- 4789
------
```
Start from right:
- 0 - 9 → borrow: 10 - 9 = 1, 8 becomes 7
- 7 - 8 → can't, borrow: 17 - 8 = 9, 0 becomes 9
- 9 - 7 = 2
- 8 - 4 = 4
Wait — actually, after borrowing, the thousands place: 9 - 4 = 5?
Wait — let’s write it clearly:
```
9080
- 4789
------
```
Step-by-step:
- Units: 0 - 9 → borrow → 10 - 9 = 1 → tens digit (8) becomes 7
- Tens: 7 - 8 → can’t → borrow from hundreds → 17 - 8 = 9 → hundreds digit (0) becomes 9
- Hundreds: 9 - 7 = 2
- Thousands: 9 - 4 = 5
So: 4291
✔ Answer: 4291
---
2. 9070 - 4469
```
9070
- 4469
------
4601
```
- 0 - 9 → borrow → 10 - 9 = 1, 7 becomes 6
- 6 - 6 = 0
- 0 - 4 → borrow → 10 - 4 = 6, 9 becomes 8
- 8 - 4 = 4
Wait: thousands: 9 → becomes 8 after borrow, 8 - 4 = 4
So: 4601
✔ Answer: 4601
---
3. 9060 - 3569
```
9060
- 3569
------
5491
```
- 0 - 9 → borrow → 10 - 9 = 1, 6 becomes 5
- 5 - 6 → borrow → 15 - 6 = 9, 0 becomes 9
- 9 - 5 = 4
- 9 - 3 = 6
Wait: thousands: 9 - 3 = 6? But after borrow, is it still 9?
Actually: hundreds digit was 0, borrowed → becomes 9, then 9 - 5 = 4
Thousands: 9 - 3 = 6
But wait: 9060 - 3569:
- 0 - 9 → borrow → 10 - 9 = 1 → tens digit 6 → 5
- 5 - 6 → borrow → 15 - 6 = 9 → hundreds digit 0 → borrow → becomes 9
- 9 - 5 = 4
- 8 (after borrow) - 3 = 5
Wait! After borrowing from thousands, thousands digit becomes 8
So:
- 9060 → after borrowing for hundreds: 8|10|5|10
- Subtract: 3|5|6|9
So:
- Units: 10 - 9 = 1
- Tens: 5 - 6 → can't → borrow → 15 - 6 = 9 → hundreds becomes 9
- Hundreds: 9 - 5 = 4
- Thousands: 8 - 3 = 5
So: 5491
✔ Answer: 5491
---
4. 9080 - 2978
```
9080
- 2978
------
6102
```
- 0 - 8 → borrow → 10 - 8 = 2 → 8 becomes 7
- 7 - 7 = 0
- 0 - 9 → borrow → 10 - 9 = 1 → 9 becomes 8
- 8 - 2 = 6
So: 6102
✔ Answer: 6102
---
5. 9050 - 1388
```
9050
- 1388
------
7662
```
- 0 - 8 → borrow → 10 - 8 = 2 → 5 becomes 4
- 4 - 8 → borrow → 14 - 8 = 6 → 0 becomes 9
- 9 - 3 = 6
- 8 - 1 = 7
So: 7662
✔ Answer: 7662
---
6. 9040 - 4779
```
9040
- 4779
------
4261
```
- 0 - 9 → borrow → 10 - 9 = 1 → 4 becomes 3
- 3 - 7 → borrow → 13 - 7 = 6 → 0 becomes 9
- 9 - 7 = 2
- 8 - 4 = 4
So: 4261
✔ Answer: 4261
---
7. 9060 - 5898
```
9060
- 5898
------
3162
```
- 0 - 8 → borrow → 10 - 8 = 2 → 6 becomes 5
- 5 - 9 → borrow → 15 - 9 = 6 → 0 becomes 9
- 9 - 8 = 1
- 8 - 5 = 3
So: 3162
✔ Answer: 3162
---
8. 9080 - 4556
```
9080
- 4556
------
4524
```
- 0 - 6 → borrow → 10 - 6 = 4 → 8 becomes 7
- 7 - 5 = 2
- 0 - 5 → borrow → 10 - 5 = 5 → 9 becomes 8
- 8 - 4 = 4
So: 4524
✔ Answer: 4524
---
9. 9040 - 3588
```
9040
- 3588
------
5452
```
- 0 - 8 → borrow → 10 - 8 = 2 → 4 becomes 3
- 3 - 8 → borrow → 13 - 8 = 5 → 0 becomes 9
- 9 - 5 = 4
- 8 - 3 = 5
So: 5452
✔ Answer: 5452
---
10. 9060 - 2978
```
9060
- 2978
------
6082
```
- 0 - 8 → borrow → 10 - 8 = 2 → 6 becomes 5
- 5 - 7 → borrow → 15 - 7 = 8 → 0 becomes 9
- 9 - 9 = 0
- 8 - 2 = 6
So: 6082
✔ Answer: 6082
---
11. 9070 - 1776
```
9070
- 1776
------
7294
```
- 0 - 6 → borrow → 10 - 6 = 4 → 7 becomes 6
- 6 - 7 → borrow → 16 - 7 = 9 → 0 becomes 9
- 9 - 7 = 2
- 8 - 1 = 7
So: 7294
✔ Answer: 7294
---
12. 9060 - 2964
```
9060
- 2964
------
6096
```
- 0 - 4 → borrow → 10 - 4 = 6 → 6 becomes 5
- 5 - 6 → borrow → 15 - 6 = 9 → 0 becomes 9
- 9 - 9 = 0
- 8 - 2 = 6
So: 6096
✔ Answer: 6096
---
13. 9090 - 3743
```
9090
- 3743
------
5347
```
- 0 - 3 → borrow → 10 - 3 = 7 → 9 becomes 8
- 8 - 4 = 4
- 0 - 7 → borrow → 10 - 7 = 3 → 9 becomes 8
- 8 - 3 = 5
So: 5347
✔ Answer: 5347
---
14. 9060 - 4279
```
9060
- 4279
------
4781
```
- 0 - 9 → borrow → 10 - 9 = 1 → 6 becomes 5
- 5 - 7 → borrow → 15 - 7 = 8 → 0 becomes 9
- 9 - 2 = 7
- 8 - 4 = 4
So: 4781
✔ Answer: 4781
---
15. 9090 - 5968
```
9090
- 5968
------
3122
```
- 0 - 8 → borrow → 10 - 8 = 2 → 9 becomes 8
- 8 - 6 = 2
- 0 - 9 → borrow → 10 - 9 = 1 → 9 becomes 8
- 8 - 5 = 3
So: 3122
✔ Answer: 3122
---
✔ Final Answers:
Here are all the solutions:
1. 9080 - 4789 = 4291
2. 9070 - 4469 = 4601
3. 9060 - 3569 = 5491
4. 9080 - 2978 = 6102
5. 9050 - 1388 = 7662
6. 9040 - 4779 = 4261
7. 9060 - 5898 = 3162
8. 9080 - 4556 = 4524
9. 9040 - 3588 = 5452
10. 9060 - 2978 = 6082
11. 9070 - 1776 = 7294
12. 9060 - 2964 = 6096
13. 9090 - 3743 = 5347
14. 9060 - 4279 = 4781
15. 9090 - 5968 = 3122
You can now fill these answers into the grid on the worksheet. Let me know if you'd like a printable version or explanation for any specific one!
Parent Tip: Review the logic above to help your child master the concept of printable math worksheets subtraction regrouping.