Subtract 68 from 827: Vertical Format Arithmetic Problem

To solve the problem of subtracting 68 from 827, we will perform vertical subtraction with regrouping (borrowing) where necessary.

First, let's write the numbers vertically aligned by place value:

$\begin{aligned} &827 \\ -&\phantom{0}68 \\ &\underline{\phantom{776}} \\ \end{aligned}$

Next, we'll perform subtraction starting from the rightmost digit (units place):

• The units column: 7 (from 827) minus 8. Since 7 is less than 8, we need to borrow 1 from the tens column. After borrowing, the 7 becomes 17.

• 17 minus 8 equals 9. Write 9 directly under this column.

Now, move to the tens column:

• Since we borrowed 1, the 2 (from 827) is now 1. Subtract 6 (from 68) from 11 (the borrowed number).
  11 minus 6 equals 5. Write 5 directly under this column.

Finally, the hundreds column:

• Since no numbers exist below the hundreds place in 68 and we only borrowed from the tens place, we subtract nothing from 8. So, 8 stays the same.

• Write 8 directly under this column.

Putting it all together, the complete difference is:

$\begin{aligned} &827 \\ -&\phantom{0}68 \\ &\overline{759} \\ \end{aligned}$

Therefore, the solution to the problem is $759$.