Solve 728 + 182: Three-Digit Addition in Vertical Format

To solve this problem, we'll follow these steps:

• Step 1: Align the numbers $728$ and $182$ vertically by their respective place values (ones, tens, hundreds).

• Step 2: Add the digits in each column starting from the ones place and moving to the left (tens, then hundreds), carrying as necessary.

Now, let's work through each step:
Step 1: The numbers are aligned as follows:

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

Step 2: Start adding from the rightmost column (ones):

$8 + 2 = 10$. We write down the $0$ and carry over the $1$ to the tens column.

Next, add the tens column including the carried $1$:

$2 + 8 + 1 = 11$. We write down the $1$ and carry over the $1$ to the hundreds column.

Finally, add the hundreds column including the carried $1$:

$7 + 1 + 1 = 9$. Write the $9$.

Therefore, the sum is $910$.

The solution to the problem is $\boxed{910}$.