Difference between 9,050 and 3,688

Vertically align numbers with Larger Number on top:
9 0 5 0
3 6 8 8

Subtract using place value:

Thousands Hundreds Tens Ones
9 14
8 10 4 10
9,050 9 0 5 0
3,688 3 6 8 8
Difference 5 3 6 2
Column traversal from right to left
Ones column:
  • Since 0 is less than 8, we have to borrow 1 from the Tens column
  • As a result, 0 becomes 10, and 10 − 8 = 2
  • The 5 in the Tens column becomes 4

Tens column:

  • Since 4 is less than 8, we have to borrow 1 from the Hundreds column
  • As a result, 4 becomes 14, and 14 − 8 = 6
  • The 0 in the Hundreds column becomes 9 after borrowing 1 from its regrouped value of 10

Hundreds column:

  • 9 − 6 = 3
  • Because it was the first nonzero digit to the left of the 5 in the Tens column, the 9 in the Thousands column became 8 after 1 was borrowed for the purpose of regrouping the 0 in the Hundreds column (borrowing across a 0)

Thousands column:

  • 8 − 3 = 5
9 14
8 10 4 10
9 0 5 0
3 6 8 8
5 3 6 2
Therefore, the Difference between 9,050 and 3,688 is 5,362

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

1 1 1
5 3 6 2
3 6 8 8
9 0 5 0

Sum of Difference and Smaller Number = 9,050
Sum of Difference and Smaller Number = Larger Number (9,050 = 9,050) ✓

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

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