Vertically align numbers with Larger Number on top:
| 8 | . | 2 | 5 | 0 | 0 | |
| − | 0 | . | 0 | 1 | 0 | 5 |
Subtract using place value:
| Ones | Tenths | Hundredths | Thousandths | Ten Thousandths | ||
|---|---|---|---|---|---|---|
| 9 | ||||||
| 4 | 10 | 10 | ||||
| 8.25 | 8 | . | 2 | 5 | 0 | 0 |
| 0.0105 | 0 | . | 0 | 1 | 0 | 5 |
| Difference | 8 | . | 2 | 3 | 9 | 5 |
Column traversal from right to left
Ten Thousandths column:
Ten Thousandths column:
- Since 0 is less than 5, we have to borrow 1 from the Thousandths column
- As a result, 0 becomes 10, and 10 − 5 = 5
- The 0 in the Thousandths column becomes 9 after borrowing 1 from its regrouped value of 10
Thousandths column:
- 9 − 0 = 9
- Because it was the first nonzero digit to the left of the 0 in the Ten Thousandths column, the 5 in the Hundredths column became 4 after 1 was borrowed for the purpose of regrouping the 0 in the Thousandths column (borrowing across a 0)
Hundredths column:
- 4 − 1 = 3
Tenths column:
- 2 − 0 = 2
Ones column:
- 8 − 0 = 8
| 9 | ||||||
| 4 | 10 | 10 | ||||
| 8 | . | 2 | 5 | 0 | 0 | |
| − | 0 | . | 0 | 1 | 0 | 5 |
| 8 | . | 2 | 3 | 9 | 5 |
Therefore, the Difference between 8.25 and 0.0105 is 8.2395
Check computation by comparing Larger Number and the Sum of Difference and Smaller Number:
| 1 | 1 | |||||
| 8 | . | 2 | 3 | 9 | 5 | |
| 0 | . | 0 | 1 | 0 | 5 | |
| 8 | . | 2 | 5 | 0 | 0 |
Sum of Difference and Smaller Number = 8.25 (trailing zeros are dropped)
Sum of Difference and Smaller Number = Larger Number (8.25 = 8.25) ✓
