Vertically align numbers with Larger Number on top:
| 9 | 0 | 0 | 0 | |
| − | 7 | 6 | 5 |
Subtract using place value:
| Thousands | Hundreds | Tens | Ones | |
|---|---|---|---|---|
| 9 | 9 | |||
| 8 | 10 | 10 | 10 | |
| 9,000 | 9 | 0 | 0 | 0 |
| 765 | 7 | 6 | 5 | |
| Difference | 8 | 2 | 3 | 5 |
Column traversal from right to left
Ones column:
Ones column:
- Since 0 is less than 5, we have to borrow 1 from the Tens column
- As a result, 0 becomes 10, and 10 − 5 = 5
- The 0 in the Tens column becomes 9 after borrowing 1 from its regrouped value of 10
Tens column:
- 9 − 6 = 3
- 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 − 7 = 2
- Because it was the first nonzero digit to the left of the 0 in the Ones 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 0s)
Thousands column:
- 8 − 0 = 8
| 9 | 9 | |||
| 8 | 10 | 10 | 10 | |
| 9 | 0 | 0 | 0 | |
| − | 7 | 6 | 5 | |
| 8 | 2 | 3 | 5 |
Therefore, the Difference between 9,000 and 765 is 8,235
Check computation by comparing Larger Number and the Sum of Difference and Smaller Number:
| 1 | 1 | 1 | ||
| 8 | 2 | 3 | 5 | |
| 7 | 6 | 5 | ||
| 9 | 0 | 0 | 0 |
Sum of Difference and Smaller Number = 9,000
Sum of Difference and Smaller Number = Larger Number (9,000 = 9,000) ✓
