Difference between 2,052 and 1,156

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:
  • 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) ✓

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

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