Solve Three-Digit Addition: 826 + 178 in Vertical Format

$\begin{aligned} &826 \\ +& \\ &178 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem of adding $826$ and $178$ using vertical addition, we proceed as follows:

• First, we align the numbers vertically, ensuring that digits are in their respective places:

$\begin{array}{c} & 8 & 2 & 6 \\ + & 1 & 7 & 8 \\ \hline \end{array}$

• Step 1: Add the units (rightmost) column: $6 + 8 = 14$. Place the $4$ in the units column of the result and carry over the $1$ to the tens column.

• Step 2: Add the tens column: $2 + 7 = 9$ and add the carried over $1$: $9 + 1 = 10$. Place $0$ in the tens column of the result and carry over the $1$ to the hundreds column.

• Step 3: Add the hundreds column: $8 + 1 = 9$ and add the carried over $1$: $9 + 1 = 10$. Write down the entire sum, $10$, in the hundreds and beyond place.

The resulting sum is $1004$.

Thus, the solution to the problem is $1004$.