Difference between 7,905 and 4,799

Vertically align numbers with Larger Number on top:
7 9 0 5
4 7 9 9

Subtract using place value:

Thousands Hundreds Tens Ones
9
8 10 15
7,905 7 9 0 5
4,799 4 7 9 9
Difference 3 1 0 6
Column traversal from right to left
Ones column:
  • Since 5 is less than 9, we have to borrow 1 from the Tens column
  • As a result, 5 becomes 15, and 15 − 9 = 6
  • The 0 in the Tens column becomes 9 after borrowing 1 from its regrouped value of 10

Tens column:

  • 9 − 9 = 0
  • Because it was the first nonzero digit to the left of the 5 in the Ones column, the 9 in the Hundreds column became 8 after 1 was borrowed for the purpose of regrouping the 0 in the Tens column (borrowing across a 0)

Hundreds column:

  • 8 − 7 = 1

Thousands column:

  • 7 − 4 = 3
9
8 10 15
7 9 0 5
4 7 9 9
3 1 0 6
Therefore, the Difference between 7,905 and 4,799 is 3,106

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

1 1
4 7 9 9
3 1 0 6
7 9 0 5

Sum of Smaller Number and Difference = 7,905
Sum of Smaller Number and Difference = Larger Number (7,905 = 7,905) ✓

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

Curated Videos