Vertically align numbers with Larger Number on top:
7 | 0 | 0 | 2 | 0 | 3 | |
− | 2 | 5 | 9 | 8 | 6 | 7 |
Subtract using place value:
Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones | |
---|---|---|---|---|---|---|
9 | 9 | 11 | 9 | |||
6 | 10 | 10 | 1 | 10 | 13 | |
700,203 | 7 | 0 | 0 | 2 | 0 | 3 |
259,867 | 2 | 5 | 9 | 8 | 6 | 7 |
Difference | 4 | 4 | 0 | 3 | 3 | 6 |
Column traversal from right to left
Ones column:
Ones column:
- Since 3 is less than 7, we have to borrow 1 from the Tens column
- As a result, 3 becomes 13, and 13 − 7 = 6
- The 0 in the Tens column becomes 9 after borrowing 1 from its regrouped value of 10
Tens column:
- 9 − 6 = 3
- Because it was the first nonzero digit to the left of the 3 in the Ones column, the 2 in the Hundreds column became 1 after 1 was borrowed for the purpose of regrouping the 0 in the Tens column (borrowing across a 0)
Hundreds column:
- Since 1 is less than 8, we have to borrow 1 from the Thousands column
- As a result, 1 becomes 11, and 11 − 8 = 3
- The 0 in the Thousands column becomes 9 after borrowing 1 from its regrouped value of 10
Thousands column:
- 9 − 9 = 0
- The 0 in the Ten Thousands column became 9 after 1 was borrowed from its regrouped value of 10 for the purpose of regrouping the 0 in the Thousands column
Ten Thousands column:
- 9 − 5 = 4
- Because it was the first nonzero digit to the left of the 2 in the Hundreds column, the 7 in the Hundred Thousands column became 6 after 1 was borrowed for the purpose of regrouping the 0 in the Ten Thousands column (borrowing across 0s)
Hundred Thousands column:
- 6 − 2 = 4
9 | 9 | 11 | 9 | |||
6 | 10 | 10 | 1 | 10 | 13 | |
7 | 0 | 0 | 2 | 0 | 3 | |
− | 2 | 5 | 9 | 8 | 6 | 7 |
4 | 4 | 0 | 3 | 3 | 6 |
Therefore, the Difference between 700,203 and 259,867 is 440,336
Check computation by comparing Larger Number and the Sum of Difference and Smaller Number:
1 | 1 | 1 | 1 | 1 | ||
4 | 4 | 0 | 3 | 3 | 6 | |
2 | 5 | 9 | 8 | 6 | 7 | |
7 | 0 | 0 | 2 | 0 | 3 |
Sum of Difference and Smaller Number = 700,203
Sum of Difference and Smaller Number = Larger Number (700,203 = 700,203) ✓