Math worksheet titled 'Subtracting on a Grid (A)' featuring twelve 5-digit subtraction problems arranged in a grid format to assist with alignment.
Subtracting on a Grid (A) math worksheet featuring twelve 5-digit subtraction problems arranged in columns.
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Step-by-step solution for: Subtracting 5-Digit Numbers from 5-Digit Numbers With Grid Support (A)
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Show Answer Key & Explanations
Step-by-step solution for: Subtracting 5-Digit Numbers from 5-Digit Numbers With Grid Support (A)
Let's solve each subtraction problem on the grid step by step. The task is to subtract the bottom number from the top number in each box, using column-by-column subtraction (starting from the rightmost digit), and handle borrowing as needed.
---
```
5 9 0 5 0
- 4 8 3 1 5
----------
```
Start from the right:
- 0 - 5 → borrow: 10 - 5 = 5, but we need to borrow from left.
- 5 becomes 4, 0 becomes 10 → 10 - 5 = 5
- 4 - 1 = 3 (but we borrowed, so it’s now 4)
- 0 - 3 → can’t do, borrow: 10 - 3 = 7, then 9 becomes 8
- 8 - 8 = 0
- 5 - 4 = 1
Wait — let's go carefully:
Digits:
```
5 9 0 5 0
- 4 8 3 1 5
-------------
```
Step-by-step:
- Units: 0 - 5 → borrow → 10 - 5 = 5, tens digit (5) becomes 4
- Tens: 4 - 1 = 3
- Hundreds: 0 - 3 → can't do, borrow from thousands (9). But 9 is in thousands place.
- Thousands: 9 → 8, hundreds: 10 → 10 - 3 = 7
- Thousands: 8 - 8 = 0
- Ten-thousands: 5 - 4 = 1
So result: 10735
✔ Answer: 10735
---
```
9 0 2 0 7
- 4 9 8 2 1
----------
```
- Units: 7 - 1 = 6
- Tens: 0 - 2 → borrow → 10 - 2 = 8, hundreds digit (2) becomes 1
- Hundreds: 1 - 8 → borrow from thousands (0), which needs to borrow from ten-thousands
- Ten-thousands: 9 → 8, thousands: 0 → 10, but we need to borrow for hundreds
- So thousands: 10 → 9, hundreds: 10 + 1 = 11 → 11 - 8 = 3
- Thousands: 9 - 9 = 0
- Ten-thousands: 8 - 4 = 4
Result: 40386
✔ Answer: 40386
---
```
5 9 6 9 7
- 2 7 6 0 6
----------
```
- Units: 7 - 6 = 1
- Tens: 9 - 0 = 9
- Hundreds: 6 - 6 = 0
- Thousands: 9 - 7 = 2
- Ten-thousands: 5 - 2 = 3
Result: 32091
✔ Answer: 32091
---
```
5 2 7 6 2
- 3 4 1 6 2
----------
```
- Units: 2 - 2 = 0
- Tens: 6 - 6 = 0
- Hundreds: 7 - 1 = 6
- Thousands: 2 - 4 → borrow → 12 - 4 = 8, ten-thousands: 5 → 4
- Ten-thousands: 4 - 3 = 1
Result: 18600
✔ Answer: 18600
---
```
8 7 4 3 9
- 4 9 9 9 3
----------
```
- Units: 9 - 3 = 6
- Tens: 3 - 9 → borrow → 13 - 9 = 4, hundreds: 4 → 3
- Hundreds: 3 - 9 → borrow → 13 - 9 = 4, thousands: 7 → 6
- Thousands: 6 - 9 → borrow → 16 - 9 = 7, ten-thousands: 8 → 7
- Ten-thousands: 7 - 4 = 3
Result: 37446
✔ Answer: 37446
---
```
9 4 9 2 4
- 8 5 6 4 7
----------
```
- Units: 4 - 7 → borrow → 14 - 7 = 7, tens: 2 → 1
- Tens: 1 - 4 → borrow → 11 - 4 = 7, hundreds: 9 → 8
- Hundreds: 8 - 6 = 2
- Thousands: 4 - 5 → borrow → 14 - 5 = 9, ten-thousands: 9 → 8
- Ten-thousands: 8 - 8 = 0
Result: 9277
But wait: 94924 - 85647 = ?
Let me double-check:
Actually, after borrowing:
- Ten-thousands: 9 → 8 (after borrow)
- Thousands: 4 → 14 (after borrow), then 14 - 5 = 9
- Hundreds: 9 → 8 (after borrow), 8 - 6 = 2
- Tens: 2 → 1, then 11 - 4 = 7
- Units: 4 → 14 - 7 = 7
So digits: 0 (ten-thousands), 9 (thousands), 2 (hundreds), 7 (tens), 7 (units)
→ 9277
But 94924 - 85647 = 9277? Let's verify:
85647 + 9277 = 85647 + 9000 = 94647; +277 = 94924 ✔
Yes.
✔ Answer: 9277
---
```
2 8 2 4 7
- 1 8 9 4 7
----------
```
- Units: 7 - 7 = 0
- Tens: 4 - 4 = 0
- Hundreds: 2 - 9 → borrow → 12 - 9 = 3, thousands: 8 → 7
- Thousands: 7 - 8 → borrow → 17 - 8 = 9, ten-thousands: 2 → 1
- Ten-thousands: 1 - 1 = 0
Result: 9300
Wait: 28247 - 18947 = ?
Check: 18947 + 9300 = 28247 ✔
✔ Answer: 9300
---
```
5 9 8 1 0
- 5 8 2 2 7
----------
```
- Units: 0 - 7 → borrow → 10 - 7 = 3, tens: 1 → 0
- Tens: 0 - 2 → borrow → 10 - 2 = 8, hundreds: 8 → 7
- Hundreds: 7 - 2 = 5
- Thousands: 9 - 8 = 1
- Ten-thousands: 5 - 5 = 0
Result: 1583
Wait: 59810 - 58227 = ?
Let’s compute: 59810 - 58227 = 1583 ✔
✔ Answer: 1583
---
```
6 1 5 1 9
- 1 3 3 4 6
----------
```
- Units: 9 - 6 = 3
- Tens: 1 - 4 → borrow → 11 - 4 = 7, hundreds: 5 → 4
- Hundreds: 4 - 3 = 1
- Thousands: 1 - 3 → borrow → 11 - 3 = 8, ten-thousands: 6 → 5
- Ten-thousands: 5 - 1 = 4
Result: 48173
Check: 61519 - 13346 = 48173 ✔
✔ Answer: 48173
---
```
7 6 5 1 3
- 4 0 8 0 4
----------
```
- Units: 3 - 4 → borrow → 13 - 4 = 9, tens: 1 → 0
- Tens: 0 - 0 = 0
- Hundreds: 5 - 8 → borrow → 15 - 8 = 7, thousands: 6 → 5
- Thousands: 5 - 0 = 5
- Ten-thousands: 7 - 4 = 3
Result: 35709
Check: 76513 - 40804 = 35709 ✔
✔ Answer: 35709
---
```
1 6 6 0 8
- 1 0 3 3 7
----------
```
- Units: 8 - 7 = 1
- Tens: 0 - 3 → borrow → 10 - 3 = 7, hundreds: 6 → 5
- Hundreds: 5 - 3 = 2
- Thousands: 6 - 0 = 6
- Ten-thousands: 1 - 1 = 0
Result: 6271
Check: 16608 - 10337 = 6271 ✔
✔ Answer: 6271
---
```
5 3 3 1 0
- 4 2 3 1 7
----------
```
- Units: 0 - 7 → borrow → 10 - 7 = 3, tens: 1 → 0
- Tens: 0 - 1 → borrow → 10 - 1 = 9, hundreds: 3 → 2
- Hundreds: 2 - 3 → borrow → 12 - 3 = 9, thousands: 3 → 2
- Thousands: 2 - 2 = 0
- Ten-thousands: 5 - 4 = 1
Result: 10993
Check: 53310 - 42317 = 10993 ✔
✔ Answer: 10993
---
| Problem | Answer |
|--------|-----------|
| 1 | 10735 |
| 2 | 40386 |
| 3 | 32091 |
| 4 | 18600 |
| 5 | 37446 |
| 6 | 9277 |
| 7 | 9300 |
| 8 | 1583 |
| 9 | 48173 |
| 10 | 35709 |
| 11 | 6271 |
| 12 | 10993 |
You can now fill these into the grid below each problem.
Let me know if you'd like a printable version or explanation of any specific one!
---
1.
```
5 9 0 5 0
- 4 8 3 1 5
----------
```
Start from the right:
- 0 - 5 → borrow: 10 - 5 = 5, but we need to borrow from left.
- 5 becomes 4, 0 becomes 10 → 10 - 5 = 5
- 4 - 1 = 3 (but we borrowed, so it’s now 4)
- 0 - 3 → can’t do, borrow: 10 - 3 = 7, then 9 becomes 8
- 8 - 8 = 0
- 5 - 4 = 1
Wait — let's go carefully:
Digits:
```
5 9 0 5 0
- 4 8 3 1 5
-------------
```
Step-by-step:
- Units: 0 - 5 → borrow → 10 - 5 = 5, tens digit (5) becomes 4
- Tens: 4 - 1 = 3
- Hundreds: 0 - 3 → can't do, borrow from thousands (9). But 9 is in thousands place.
- Thousands: 9 → 8, hundreds: 10 → 10 - 3 = 7
- Thousands: 8 - 8 = 0
- Ten-thousands: 5 - 4 = 1
So result: 10735
✔ Answer: 10735
---
2.
```
9 0 2 0 7
- 4 9 8 2 1
----------
```
- Units: 7 - 1 = 6
- Tens: 0 - 2 → borrow → 10 - 2 = 8, hundreds digit (2) becomes 1
- Hundreds: 1 - 8 → borrow from thousands (0), which needs to borrow from ten-thousands
- Ten-thousands: 9 → 8, thousands: 0 → 10, but we need to borrow for hundreds
- So thousands: 10 → 9, hundreds: 10 + 1 = 11 → 11 - 8 = 3
- Thousands: 9 - 9 = 0
- Ten-thousands: 8 - 4 = 4
Result: 40386
✔ Answer: 40386
---
3.
```
5 9 6 9 7
- 2 7 6 0 6
----------
```
- Units: 7 - 6 = 1
- Tens: 9 - 0 = 9
- Hundreds: 6 - 6 = 0
- Thousands: 9 - 7 = 2
- Ten-thousands: 5 - 2 = 3
Result: 32091
✔ Answer: 32091
---
4.
```
5 2 7 6 2
- 3 4 1 6 2
----------
```
- Units: 2 - 2 = 0
- Tens: 6 - 6 = 0
- Hundreds: 7 - 1 = 6
- Thousands: 2 - 4 → borrow → 12 - 4 = 8, ten-thousands: 5 → 4
- Ten-thousands: 4 - 3 = 1
Result: 18600
✔ Answer: 18600
---
5.
```
8 7 4 3 9
- 4 9 9 9 3
----------
```
- Units: 9 - 3 = 6
- Tens: 3 - 9 → borrow → 13 - 9 = 4, hundreds: 4 → 3
- Hundreds: 3 - 9 → borrow → 13 - 9 = 4, thousands: 7 → 6
- Thousands: 6 - 9 → borrow → 16 - 9 = 7, ten-thousands: 8 → 7
- Ten-thousands: 7 - 4 = 3
Result: 37446
✔ Answer: 37446
---
6.
```
9 4 9 2 4
- 8 5 6 4 7
----------
```
- Units: 4 - 7 → borrow → 14 - 7 = 7, tens: 2 → 1
- Tens: 1 - 4 → borrow → 11 - 4 = 7, hundreds: 9 → 8
- Hundreds: 8 - 6 = 2
- Thousands: 4 - 5 → borrow → 14 - 5 = 9, ten-thousands: 9 → 8
- Ten-thousands: 8 - 8 = 0
Result: 9277
But wait: 94924 - 85647 = ?
Let me double-check:
Actually, after borrowing:
- Ten-thousands: 9 → 8 (after borrow)
- Thousands: 4 → 14 (after borrow), then 14 - 5 = 9
- Hundreds: 9 → 8 (after borrow), 8 - 6 = 2
- Tens: 2 → 1, then 11 - 4 = 7
- Units: 4 → 14 - 7 = 7
So digits: 0 (ten-thousands), 9 (thousands), 2 (hundreds), 7 (tens), 7 (units)
→ 9277
But 94924 - 85647 = 9277? Let's verify:
85647 + 9277 = 85647 + 9000 = 94647; +277 = 94924 ✔
Yes.
✔ Answer: 9277
---
7.
```
2 8 2 4 7
- 1 8 9 4 7
----------
```
- Units: 7 - 7 = 0
- Tens: 4 - 4 = 0
- Hundreds: 2 - 9 → borrow → 12 - 9 = 3, thousands: 8 → 7
- Thousands: 7 - 8 → borrow → 17 - 8 = 9, ten-thousands: 2 → 1
- Ten-thousands: 1 - 1 = 0
Result: 9300
Wait: 28247 - 18947 = ?
Check: 18947 + 9300 = 28247 ✔
✔ Answer: 9300
---
8.
```
5 9 8 1 0
- 5 8 2 2 7
----------
```
- Units: 0 - 7 → borrow → 10 - 7 = 3, tens: 1 → 0
- Tens: 0 - 2 → borrow → 10 - 2 = 8, hundreds: 8 → 7
- Hundreds: 7 - 2 = 5
- Thousands: 9 - 8 = 1
- Ten-thousands: 5 - 5 = 0
Result: 1583
Wait: 59810 - 58227 = ?
Let’s compute: 59810 - 58227 = 1583 ✔
✔ Answer: 1583
---
9.
```
6 1 5 1 9
- 1 3 3 4 6
----------
```
- Units: 9 - 6 = 3
- Tens: 1 - 4 → borrow → 11 - 4 = 7, hundreds: 5 → 4
- Hundreds: 4 - 3 = 1
- Thousands: 1 - 3 → borrow → 11 - 3 = 8, ten-thousands: 6 → 5
- Ten-thousands: 5 - 1 = 4
Result: 48173
Check: 61519 - 13346 = 48173 ✔
✔ Answer: 48173
---
10.
```
7 6 5 1 3
- 4 0 8 0 4
----------
```
- Units: 3 - 4 → borrow → 13 - 4 = 9, tens: 1 → 0
- Tens: 0 - 0 = 0
- Hundreds: 5 - 8 → borrow → 15 - 8 = 7, thousands: 6 → 5
- Thousands: 5 - 0 = 5
- Ten-thousands: 7 - 4 = 3
Result: 35709
Check: 76513 - 40804 = 35709 ✔
✔ Answer: 35709
---
11.
```
1 6 6 0 8
- 1 0 3 3 7
----------
```
- Units: 8 - 7 = 1
- Tens: 0 - 3 → borrow → 10 - 3 = 7, hundreds: 6 → 5
- Hundreds: 5 - 3 = 2
- Thousands: 6 - 0 = 6
- Ten-thousands: 1 - 1 = 0
Result: 6271
Check: 16608 - 10337 = 6271 ✔
✔ Answer: 6271
---
12.
```
5 3 3 1 0
- 4 2 3 1 7
----------
```
- Units: 0 - 7 → borrow → 10 - 7 = 3, tens: 1 → 0
- Tens: 0 - 1 → borrow → 10 - 1 = 9, hundreds: 3 → 2
- Hundreds: 2 - 3 → borrow → 12 - 3 = 9, thousands: 3 → 2
- Thousands: 2 - 2 = 0
- Ten-thousands: 5 - 4 = 1
Result: 10993
Check: 53310 - 42317 = 10993 ✔
✔ Answer: 10993
---
✔ Final Answers:
| Problem | Answer |
|--------|-----------|
| 1 | 10735 |
| 2 | 40386 |
| 3 | 32091 |
| 4 | 18600 |
| 5 | 37446 |
| 6 | 9277 |
| 7 | 9300 |
| 8 | 1583 |
| 9 | 48173 |
| 10 | 35709 |
| 11 | 6271 |
| 12 | 10993 |
You can now fill these into the grid below each problem.
Let me know if you'd like a printable version or explanation of any specific one!
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet on graph paper.