Vertically align numbers with Larger Number on top:
2 | 0 | 5 | 2 | |
− | 1 | 1 | 5 | 6 |
Subtract using place value:
Thousands | Hundreds | Tens | Ones | |
---|---|---|---|---|
9 | 14 | |||
1 | 10 | 4 | 12 | |
2,052 | 2 | 0 | 5 | 2 |
1,156 | 1 | 1 | 5 | 6 |
Difference | 8 | 9 | 6 |
Column traversal from right to left
Ones column:
Ones column:
- Since 2 is less than 6, we have to borrow 1 from the Tens column
- As a result, 2 becomes 12, and 12 − 6 = 6
- The 5 in the Tens column becomes 4
Tens column:
- Since 4 is less than 5, we have to borrow 1 from the Hundreds column
- As a result, 4 becomes 14, and 14 − 5 = 9
- The 0 in the Hundreds column becomes 9 after borrowing 1 from its regrouped value of 10
Hundreds column:
- 9 − 1 = 8
- Because it was the first nonzero digit to the left of the 5 in the Tens column, the 2 in the Thousands column became 1 after 1 was borrowed for the purpose of regrouping the 0 in the Hundreds column (borrowing across a 0)
Thousands column:
- 1 − 1 = 0
Note: Leading zero is dropped
9 | 14 | |||
1 | 10 | 4 | 12 | |
2 | 0 | 5 | 2 | |
− | 1 | 1 | 5 | 6 |
8 | 9 | 6 |
Therefore, the Difference between 2,052 and 1,156 is 896
Check computation by comparing Larger Number and the Sum of Smaller Number and Difference:
1 | 1 | 1 | ||
1 | 1 | 5 | 6 | |
8 | 9 | 6 | ||
2 | 0 | 5 | 2 |
Sum of Smaller Number and Difference = 2,052
Sum of Smaller Number and Difference = Larger Number (2,052 = 2,052) ✓