Subtraction of four-digit numbers (with regrouping) - no.3 ... - Free Printable
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Step-by-step solution for: Subtraction of four-digit numbers (with regrouping) - no.3 ...
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Show Answer Key & Explanations
Step-by-step solution for: Subtraction of four-digit numbers (with regrouping) - no.3 ...
Let's solve each of the subtraction problems in the worksheet step by step. These are four-digit subtractions with regrouping (also known as borrowing). We'll go through each one carefully.
---
```
6355
- 3487
------
```
Start from the right:
- Units: 5 - 7 → Can't do, borrow from tens.
- Tens digit is 5 → becomes 4, units become 15.
- 15 - 7 = 8
- Tens: 4 - 8 → Can't do, borrow from hundreds.
- Hundreds digit is 3 → becomes 2, tens become 14.
- 14 - 8 = 6
- Hundreds: 2 - 4 → Can't do, borrow from thousands.
- Thousands digit is 6 → becomes 5, hundreds become 12.
- 12 - 4 = 8
- Thousands: 5 - 3 = 2
✔ Answer: 2868
---
```
7979
- 2086
------
```
- Units: 9 - 6 = 3
- Tens: 7 - 8 → can't do, borrow.
- 7 becomes 6, tens become 17 → 17 - 8 = 9
- Hundreds: 9 - 0 = 9
- Thousands: 7 - 2 = 5
✔ Answer: 5893
---
Align numbers:
```
9092
- 888
------
```
Think of it as:
```
9092
- 888
------
```
- Units: 2 - 8 → borrow → 12 - 8 = 4
- Tens: 8 (after borrowing) - 8 = 0
- Hundreds: 0 - 8 → borrow from thousands
- Thousands: 9 → 8, hundreds: 10 → but we need to subtract 8 → 10 - 8 = 2
- Thousands: 8 - 0 = 8
Wait — let’s do this carefully:
Actually:
- Start from units: 2 - 8 → borrow → 12 - 8 = 4
- Tens: 9 becomes 8 after borrow → 8 - 8 = 0
- Hundreds: 0 - 8 → can’t do → borrow from 9 (thousands)
- 9 → 8, 0 → 10 → now 10 - 8 = 2
- Thousands: 8 - 0 = 8
✔ Answer: 8204
---
```
9156
- 6858
------
```
- Units: 6 - 8 → borrow → 16 - 8 = 8
- Tens: 5 → 4 → 4 - 5 → borrow → 14 - 5 = 9
- Hundreds: 1 → 0 → 0 - 8 → borrow → 10 - 8 = 2
- Thousands: 9 → 8 → 8 - 6 = 2
✔ Answer: 2298
---
```
5089
- 4883
------
```
- Units: 9 - 3 = 6
- Tens: 8 - 8 = 0
- Hundreds: 0 - 8 → borrow → 10 - 8 = 2
- Thousands: 5 → 4 → 4 - 4 = 0
So: 206?
Wait — thousands: 5 → 4 after borrow → 4 - 4 = 0 → so leading zero? No, just write it.
But wait: 5089 - 4883
Let’s compute:
- 5089 - 4883 = ?
We can think: 5089 - 4883 = (5089 - 4800) - 83 = 289 - 83 = 206? Wait no:
Better:
5089
-4883
------
→ 5089 - 4883 = 206?
Check: 4883 + 206 = 5089?
4883 + 200 = 5083 → +6 = 5089 ✔
✔ Answer: 206
---
```
7726
- 1888
------
```
- Units: 6 - 8 → borrow → 16 - 8 = 8
- Tens: 2 → 1 → 1 - 8 → borrow → 11 - 8 = 3
- Hundreds: 7 → 6 → 6 - 8 → borrow → 16 - 8 = 8
- Thousands: 7 → 6 → 6 - 1 = 5
✔ Answer: 5838
---
```
5596
- 4955
------
```
- Units: 6 - 5 = 1
- Tens: 9 - 5 = 4
- Hundreds: 5 - 9 → borrow → 15 - 9 = 6
- Thousands: 5 → 4 → 4 - 4 = 0
So: 641
Wait: 5596 - 4955 = ?
Check: 4955 + 641 = 5596?
4955 + 600 = 5555 → +41 = 5596 ✔
✔ Answer: 641
---
```
3936
- 1284
------
```
- Units: 6 - 4 = 2
- Tens: 3 - 8 → borrow → 13 - 8 = 5
- Hundreds: 9 → 8 → 8 - 2 = 6
- Thousands: 3 - 1 = 2
✔ Answer: 2652
---
```
8242
- 7768
------
```
- Units: 2 - 8 → borrow → 12 - 8 = 4
- Tens: 4 → 3 → 3 - 6 → borrow → 13 - 6 = 7
- Hundreds: 2 → 1 → 1 - 7 → borrow → 11 - 7 = 4
- Thousands: 8 → 7 → 7 - 7 = 0
So: 474
Wait: 8242 - 7768 = ?
Check: 7768 + 474 = 7768 + 400 = 8168 → +74 = 8242 ✔
✔ Answer: 474
---
```
7493
- 1558
------
```
- Units: 3 - 8 → borrow → 13 - 8 = 5
- Tens: 9 → 8 → 8 - 5 = 3
- Hundreds: 4 - 5 → borrow → 14 - 5 = 9
- Thousands: 7 → 6 → 6 - 1 = 5
✔ Answer: 5935
---
```
4526
- 1887
------
```
- Units: 6 - 7 → borrow → 16 - 7 = 9
- Tens: 2 → 1 → 1 - 8 → borrow → 11 - 8 = 3
- Hundreds: 5 → 4 → 4 - 8 → borrow → 14 - 8 = 6
- Thousands: 4 → 3 → 3 - 1 = 2
✔ Answer: 2639
---
```
3970
- 3772
------
```
- Units: 0 - 2 → borrow → 10 - 2 = 8
- Tens: 7 → 6 → 6 - 7 → borrow → 16 - 7 = 9
- Hundreds: 9 → 8 → 8 - 7 = 1
- Thousands: 3 - 3 = 0
So: 198
Check: 3772 + 198 = 3772 + 200 - 2 = 3972 - 2 = 3970 ✔
✔ Answer: 198
---
1) 2868
2) 5893
3) 8204
4) 2298
5) 206
6) 5838
7) 641
8) 2652
9) 474
10) 5935
11) 2639
12) 198
---
Let me know if you'd like these written out in a formatted table or explained further!
---
1) 6355 - 3487
```
6355
- 3487
------
```
Start from the right:
- Units: 5 - 7 → Can't do, borrow from tens.
- Tens digit is 5 → becomes 4, units become 15.
- 15 - 7 = 8
- Tens: 4 - 8 → Can't do, borrow from hundreds.
- Hundreds digit is 3 → becomes 2, tens become 14.
- 14 - 8 = 6
- Hundreds: 2 - 4 → Can't do, borrow from thousands.
- Thousands digit is 6 → becomes 5, hundreds become 12.
- 12 - 4 = 8
- Thousands: 5 - 3 = 2
✔ Answer: 2868
---
2) 7979 - 2086
```
7979
- 2086
------
```
- Units: 9 - 6 = 3
- Tens: 7 - 8 → can't do, borrow.
- 7 becomes 6, tens become 17 → 17 - 8 = 9
- Hundreds: 9 - 0 = 9
- Thousands: 7 - 2 = 5
✔ Answer: 5893
---
3) 9092 - 888
Align numbers:
```
9092
- 888
------
```
Think of it as:
```
9092
- 888
------
```
- Units: 2 - 8 → borrow → 12 - 8 = 4
- Tens: 8 (after borrowing) - 8 = 0
- Hundreds: 0 - 8 → borrow from thousands
- Thousands: 9 → 8, hundreds: 10 → but we need to subtract 8 → 10 - 8 = 2
- Thousands: 8 - 0 = 8
Wait — let’s do this carefully:
Actually:
- Start from units: 2 - 8 → borrow → 12 - 8 = 4
- Tens: 9 becomes 8 after borrow → 8 - 8 = 0
- Hundreds: 0 - 8 → can’t do → borrow from 9 (thousands)
- 9 → 8, 0 → 10 → now 10 - 8 = 2
- Thousands: 8 - 0 = 8
✔ Answer: 8204
---
4) 9156 - 6858
```
9156
- 6858
------
```
- Units: 6 - 8 → borrow → 16 - 8 = 8
- Tens: 5 → 4 → 4 - 5 → borrow → 14 - 5 = 9
- Hundreds: 1 → 0 → 0 - 8 → borrow → 10 - 8 = 2
- Thousands: 9 → 8 → 8 - 6 = 2
✔ Answer: 2298
---
5) 5089 - 4883
```
5089
- 4883
------
```
- Units: 9 - 3 = 6
- Tens: 8 - 8 = 0
- Hundreds: 0 - 8 → borrow → 10 - 8 = 2
- Thousands: 5 → 4 → 4 - 4 = 0
So: 206?
Wait — thousands: 5 → 4 after borrow → 4 - 4 = 0 → so leading zero? No, just write it.
But wait: 5089 - 4883
Let’s compute:
- 5089 - 4883 = ?
We can think: 5089 - 4883 = (5089 - 4800) - 83 = 289 - 83 = 206? Wait no:
Better:
5089
-4883
------
→ 5089 - 4883 = 206?
Check: 4883 + 206 = 5089?
4883 + 200 = 5083 → +6 = 5089 ✔
✔ Answer: 206
---
6) 7726 - 1888
```
7726
- 1888
------
```
- Units: 6 - 8 → borrow → 16 - 8 = 8
- Tens: 2 → 1 → 1 - 8 → borrow → 11 - 8 = 3
- Hundreds: 7 → 6 → 6 - 8 → borrow → 16 - 8 = 8
- Thousands: 7 → 6 → 6 - 1 = 5
✔ Answer: 5838
---
7) 5596 - 4955
```
5596
- 4955
------
```
- Units: 6 - 5 = 1
- Tens: 9 - 5 = 4
- Hundreds: 5 - 9 → borrow → 15 - 9 = 6
- Thousands: 5 → 4 → 4 - 4 = 0
So: 641
Wait: 5596 - 4955 = ?
Check: 4955 + 641 = 5596?
4955 + 600 = 5555 → +41 = 5596 ✔
✔ Answer: 641
---
8) 3936 - 1284
```
3936
- 1284
------
```
- Units: 6 - 4 = 2
- Tens: 3 - 8 → borrow → 13 - 8 = 5
- Hundreds: 9 → 8 → 8 - 2 = 6
- Thousands: 3 - 1 = 2
✔ Answer: 2652
---
9) 8242 - 7768
```
8242
- 7768
------
```
- Units: 2 - 8 → borrow → 12 - 8 = 4
- Tens: 4 → 3 → 3 - 6 → borrow → 13 - 6 = 7
- Hundreds: 2 → 1 → 1 - 7 → borrow → 11 - 7 = 4
- Thousands: 8 → 7 → 7 - 7 = 0
So: 474
Wait: 8242 - 7768 = ?
Check: 7768 + 474 = 7768 + 400 = 8168 → +74 = 8242 ✔
✔ Answer: 474
---
10) 7493 - 1558
```
7493
- 1558
------
```
- Units: 3 - 8 → borrow → 13 - 8 = 5
- Tens: 9 → 8 → 8 - 5 = 3
- Hundreds: 4 - 5 → borrow → 14 - 5 = 9
- Thousands: 7 → 6 → 6 - 1 = 5
✔ Answer: 5935
---
11) 4526 - 1887
```
4526
- 1887
------
```
- Units: 6 - 7 → borrow → 16 - 7 = 9
- Tens: 2 → 1 → 1 - 8 → borrow → 11 - 8 = 3
- Hundreds: 5 → 4 → 4 - 8 → borrow → 14 - 8 = 6
- Thousands: 4 → 3 → 3 - 1 = 2
✔ Answer: 2639
---
12) 3970 - 3772
```
3970
- 3772
------
```
- Units: 0 - 2 → borrow → 10 - 2 = 8
- Tens: 7 → 6 → 6 - 7 → borrow → 16 - 7 = 9
- Hundreds: 9 → 8 → 8 - 7 = 1
- Thousands: 3 - 3 = 0
So: 198
Check: 3772 + 198 = 3772 + 200 - 2 = 3972 - 2 = 3970 ✔
✔ Answer: 198
---
✔ Final Answers:
1) 2868
2) 5893
3) 8204
4) 2298
5) 206
6) 5838
7) 641
8) 2652
9) 474
10) 5935
11) 2639
12) 198
---
Let me know if you'd like these written out in a formatted table or explained further!
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet with regrouping 4th.