Vertically align numbers with Larger Number on top:
| 6 | 2 | . | 1 | 3 | 0 | |
| − | 5 | 9 | . | 9 | 9 | 9 |
Subtract using place value:
| Tens | Ones | Tenths | Hundredths | Thousandths | ||
|---|---|---|---|---|---|---|
| 11 | 10 | 12 | ||||
| 5 | 1 | 0 | 2 | 10 | ||
| 62.13 | 6 | 2 | . | 1 | 3 | 0 |
| 59.999 | 5 | 9 | . | 9 | 9 | 9 |
| Difference | 2 | . | 1 | 3 | 1 |
Column traversal from right to left
Thousandths column:
Thousandths column:
- Since 0 is less than 9, we have to borrow 1 from the Hundredths column
- As a result, 0 becomes 10, and 10 − 9 = 1
- The 3 in the Hundredths column becomes 2
Hundredths column:
- Since 2 is less than 9, we have to borrow 1 from the Tenths column
- As a result, 2 becomes 12, and 12 − 9 = 3
- The 1 in the Tenths column becomes 0
Tenths column:
- Since 0 is less than 9, we have to borrow 1 from the Ones column
- As a result, 0 becomes 10, and 10 − 9 = 1
- The 2 in the Ones column becomes 1
Ones column:
- Since 1 is less than 9, we have to borrow 1 from the Tens column
- As a result, 1 becomes 11, and 11 − 9 = 2
- The 6 in the Tens column becomes 5
Tens column:
- 5 − 5 = 0
Note: Leading zero is dropped
| 11 | 10 | 12 | ||||
| 5 | 1 | 0 | 2 | 10 | ||
| 6 | 2 | . | 1 | 3 | 0 | |
| − | 5 | 9 | . | 9 | 9 | 9 |
| 2 | . | 1 | 3 | 1 |
Therefore, the Difference between 62.13 and 59.999 is 2.131
Check computation by comparing Larger Number and the Sum of Smaller Number and Difference:
| 1 | 1 | 1 | 1 | |||
| 5 | 9 | . | 9 | 9 | 9 | |
| 2 | . | 1 | 3 | 1 | ||
| 6 | 2 | . | 1 | 3 | 0 |
Sum of Smaller Number and Difference = 62.13 (trailing zero is dropped)
Sum of Smaller Number and Difference = Larger Number (62.13 = 62.13) ✓
