Difference between 8.25 and 0.0105

Vertically align numbers with Larger Number on top:
8 . 2 5 0 0
0 . 0 1 0 5

Subtract using place value:

Ones Tenths Hundredths Thousandths Ten Thousandths
9
4 10 10
8.25 8 . 2 5 0 0
0.0105 0 . 0 1 0 5
Difference 8 . 2 3 9 5
Column traversal from right to left
Ten Thousandths column:
  • Since 0 is less than 5, we have to borrow 1 from the Thousandths column
  • As a result, 0 becomes 10, and 10 − 5 = 5
  • The 0 in the Thousandths column becomes 9 after borrowing 1 from its regrouped value of 10

Thousandths column:

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

Hundredths column:

  • 4 − 1 = 3

Tenths column:

  • 2 − 0 = 2

Ones column:

  • 8 − 0 = 8
9
4 10 10
8 . 2 5 0 0
0 . 0 1 0 5
8 . 2 3 9 5
Therefore, the Difference between 8.25 and 0.0105 is 8.2395

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

1 1
8 . 2 3 9 5
0 . 0 1 0 5
8 . 2 5 0 0

Sum of Difference and Smaller Number = 8.25 (trailing zeros are dropped)
Sum of Difference and Smaller Number = Larger Number (8.25 = 8.25) ✓

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

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