Vertically align numbers with Larger Number on top:
0 | . | 9 | 1 | 2 | 3 | |
− | 0 | . | 5 | 8 | 7 | 6 |
Subtract using place value:
Ones | Tenths | Hundredths | Thousandths | Ten Thousandths | ||
---|---|---|---|---|---|---|
10 | 11 | |||||
8 | 0 | 1 | 13 | |||
0.9123 | 0 | . | 9 | 1 | 2 | 3 |
0.5876 | 0 | . | 5 | 8 | 7 | 6 |
Difference | 0 | . | 3 | 2 | 4 | 7 |
Column traversal from right to left
Ten Thousandths column:
Ten Thousandths column:
- Since 3 is less than 6, we have to borrow 1 from the Thousandths column
- As a result, 3 becomes 13, and 13 − 6 = 7
- The 2 in the Thousandths column becomes 1
Thousandths column:
- Since 1 is less than 7, we have to borrow 1 from the Hundredths column
- As a result, 1 becomes 11, and 11 − 7 = 4
- The 1 in the Hundredths column becomes 0
Hundredths column:
- Since 0 is less than 8, we have to borrow 1 from the Tenths column
- As a result, 0 becomes 10, and 10 − 8 = 2
- The 9 in the Tenths column becomes 8
Tenths column:
- 8 − 5 = 3
Ones column:
- 0 − 0 = 0
10 | 11 | |||||
8 | 0 | 1 | 13 | |||
0 | . | 9 | 1 | 2 | 3 | |
− | 0 | . | 5 | 8 | 7 | 6 |
0 | . | 3 | 2 | 4 | 7 |
Therefore, the Difference between 0.9123 and 0.5876 is 0.3247
Check computation by comparing Larger Number and the Sum of Smaller Number and Difference:
1 | 1 | 1 | ||||
0 | . | 5 | 8 | 7 | 6 | |
0 | . | 3 | 2 | 4 | 7 | |
0 | . | 9 | 1 | 2 | 3 |
Sum of Smaller Number and Difference = 0.9123
Sum of Smaller Number and Difference = Larger Number (0.9123 = 0.9123) ✓