Vertically align numbers with Larger Number on top:
| 5 | 0 | 0 | 2 | |
| − | 1 | 4 | 8 |
Subtract using place value:
| Thousands | Hundreds | Tens | Ones | |
|---|---|---|---|---|
| 9 | 9 | |||
| 4 | 10 | 10 | 12 | |
| 5,002 | 5 | 0 | 0 | 2 |
| 148 | 1 | 4 | 8 | |
| Difference | 4 | 8 | 5 | 4 |
Column traversal from right to left
Ones column:
Ones column:
- Since 2 is less than 8, we have to borrow 1 from the Tens column
- As a result, 2 becomes 12, and 12 − 8 = 4
- The 0 in the Tens column becomes 9 after borrowing 1 from its regrouped value of 10
Tens column:
- 9 − 4 = 5
- The 0 in the Hundreds column became 9 after 1 was borrowed from its regrouped value of 10 for the purpose of regrouping the 0 in the Tens column
Hundreds column:
- 9 − 1 = 8
- Because it was the first nonzero digit to the left of the 2 in the Ones column, the 5 in the Thousands column became 4 after 1 was borrowed for the purpose of regrouping the 0 in the Hundreds column (borrowing across 0s)
Thousands column:
- 4 − 0 = 4
| 9 | 9 | |||
| 4 | 10 | 10 | 12 | |
| 5 | 0 | 0 | 2 | |
| − | 1 | 4 | 8 | |
| 4 | 8 | 5 | 4 |
Therefore, the Difference between 5,002 and 148 is 4,854
Check computation by comparing Larger Number and the Sum of Difference and Smaller Number:
| 1 | 1 | 1 | ||
| 4 | 8 | 5 | 4 | |
| 1 | 4 | 8 | ||
| 5 | 0 | 0 | 2 |
Sum of Difference and Smaller Number = 5,002
Sum of Difference and Smaller Number = Larger Number (5,002 = 5,002) ✓
