Vertically align numbers with Larger Number on top:
| 9 | 0 | 5 | 0 | |
| − | 3 | 6 | 8 | 8 |
Subtract using place value:
| Thousands | Hundreds | Tens | Ones | |
|---|---|---|---|---|
| 9 | 14 | |||
| 8 | 10 | 4 | 10 | |
| 9,050 | 9 | 0 | 5 | 0 |
| 3,688 | 3 | 6 | 8 | 8 |
| Difference | 5 | 3 | 6 | 2 |
Column traversal from right to left
Ones column:
Ones column:
- Since 0 is less than 8, we have to borrow 1 from the Tens column
- As a result, 0 becomes 10, and 10 − 8 = 2
- The 5 in the Tens column becomes 4
Tens column:
- Since 4 is less than 8, we have to borrow 1 from the Hundreds column
- As a result, 4 becomes 14, and 14 − 8 = 6
- The 0 in the Hundreds column becomes 9 after borrowing 1 from its regrouped value of 10
Hundreds column:
- 9 − 6 = 3
- Because it was the first nonzero digit to the left of the 5 in the Tens column, the 9 in the Thousands column became 8 after 1 was borrowed for the purpose of regrouping the 0 in the Hundreds column (borrowing across a 0)
Thousands column:
- 8 − 3 = 5
| 9 | 14 | |||
| 8 | 10 | 4 | 10 | |
| 9 | 0 | 5 | 0 | |
| − | 3 | 6 | 8 | 8 |
| 5 | 3 | 6 | 2 |
Therefore, the Difference between 9,050 and 3,688 is 5,362
Check computation by comparing Larger Number and the Sum of Difference and Smaller Number:
| 1 | 1 | 1 | ||
| 5 | 3 | 6 | 2 | |
| 3 | 6 | 8 | 8 | |
| 9 | 0 | 5 | 0 |
Sum of Difference and Smaller Number = 9,050
Sum of Difference and Smaller Number = Larger Number (9,050 = 9,050) ✓
