Subtract 68 from 827: Vertical Format Arithmetic Problem

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

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 $759$.