Vertically align numbers with Larger Number on top:
| 7 | . | 1 | 2 | 2 | |
| − | 3 | . | 4 | 1 | 0 |
Subtract using place value:
| Ones | Tenths | Hundredths | Thousandths | ||
|---|---|---|---|---|---|
| 6 | 11 | ||||
| 7.122 | 7 | . | 1 | 2 | 2 |
| 3.41 | 3 | . | 4 | 1 | 0 |
| Difference | 3 | . | 7 | 1 | 2 |
Column traversal from right to left
Thousandths column:
Thousandths column:
- 2 − 0 = 2
Hundredths column:
- 2 − 1 = 1
Tenths column:
- Since 1 is less than 4, we have to borrow 1 from the Ones column
- As a result, 1 becomes 11, and 11 − 4 = 7
- The 7 in the Ones column becomes 6
Ones column:
- 6 − 3 = 3
| 6 | 11 | ||||
| 7 | . | 1 | 2 | 2 | |
| − | 3 | . | 4 | 1 | 0 |
| 3 | . | 7 | 1 | 2 |
Therefore, the Difference between 7.122 and 3.41 is 3.712
Check computation by comparing Larger Number and the Sum of Difference and Smaller Number:
| 1 | |||||
| 3 | . | 7 | 1 | 2 | |
| 3 | . | 4 | 1 | 0 | |
| 7 | . | 1 | 2 | 2 |
Sum of Difference and Smaller Number = 7.122
Sum of Difference and Smaller Number = Larger Number (7.122 = 7.122) ✓
