Difference between 506 and 457

Vertically align numbers with Larger Number on top:
5 0 6
4 5 7

Subtract using place value:

Hundreds Tens Ones
9
4 10 16
506 5 0 6
457 4 5 7
Difference 4 9
Column traversal from right to left
Ones column:
  • Since 6 is less than 7, we have to borrow 1 from the Tens column
  • As a result, 6 becomes 16, and 16 − 7 = 9
  • The 0 in the Tens column becomes 9 after borrowing 1 from its regrouped value of 10

Tens column:

  • 9 − 5 = 4
  • Because it was the first nonzero digit to the left of the 6 in the Ones column, the 5 in the Hundreds column became 4 after 1 was borrowed for the purpose of regrouping the 0 in the Tens column (borrowing across a 0)

Hundreds column:

  • 4 − 4 = 0

Note: Leading zero is dropped

9
4 10 16
5 0 6
4 5 7
4 9
Therefore, the Difference between 506 and 457 is 49

Check computation by comparing Larger Number and the Sum of Smaller Number and Difference:

1 1
4 5 7
4 9
5 0 6

Sum of Smaller Number and Difference = 506
Sum of Smaller Number and Difference = Larger Number (506 = 506) ✓

The solution above and other related solutions were provided by the Difference Between Two Numbers Application.

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