Solution - Long subtraction
18,829
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 5 | 9 | 1 | 0 | 4 | |
| - | 4 | 0 | 2 | 7 | 5 |
2. Subtract the numbers using long subtraction method
Because the upper digit (4) in the ones column is too small to get a positive difference, borrow 1 from the number to the left (10) which becomes (09) and get (14).
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 0 | 9 | 14 | |||
| 5 | 9 | 1 | 0 | 4 | |
| - | 4 | 0 | 2 | 7 | 5 |
Subtract the numbers in the ones column from the top number:
14-5=9
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 0 | 9 | 14 | |||
| 5 | 9 | 1 | 0 | 4 | |
| - | 4 | 0 | 2 | 7 | 5 |
| 9 |
Subtract the numbers in the tens column from the top number:
9-7=2
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 0 | 9 | 14 | |||
| 5 | 9 | 1 | 0 | 4 | |
| - | 4 | 0 | 2 | 7 | 5 |
| 2 | 9 |
Because the upper digit (0) in the hundreds column is too small to get a positive difference, borrow 1 from the digit (9) in the next number place which becomes (8) and get (10).
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 8 | 10 | ||||
| 0 | 9 | 14 | |||
| 5 | 9 | 1 | 0 | 4 | |
| - | 4 | 0 | 2 | 7 | 5 |
| 2 | 9 |
Subtract the numbers in the hundreds column from the top number:
10-2=8
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 8 | 10 | ||||
| 0 | 9 | 14 | |||
| 5 | 9 | 1 | 0 | 4 | |
| - | 4 | 0 | 2 | 7 | 5 |
| 8 | 2 | 9 |
Subtract the numbers in the thousands column from the top number:
8-0=8
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 8 | 10 | ||||
| 0 | 9 | 14 | |||
| 5 | 9 | 1 | 0 | 4 | |
| - | 4 | 0 | 2 | 7 | 5 |
| 8 | 8 | 2 | 9 |
Subtract the numbers in the ten thousands column from the top number:
5-4=1
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 8 | 10 | ||||
| 0 | 9 | 14 | |||
| 5 | 9 | 1 | 0 | 4 | |
| - | 4 | 0 | 2 | 7 | 5 |
| 1 | 8 | 8 | 2 | 9 |
The solution is: 18,829
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