Solve Three-Digit Addition: 791 + 145 in Vertical Format

$\begin{aligned} &791 \\ +& \\ &145 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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

• Step 1: Properly align the two numbers 791 and 145 vertically by their place values.

• Step 2: Add the digits column by column, starting from the rightmost column (units position).

• Step 3: Apply carrying over when the sum of any column exceeds 9.

Now, let's work through each step:

Step 1: Arrange the numbers:

$\begin{array}{c} & 7 & 9 & 1 \\ + & 1 & 4 & 5 \\ \hline \end{array}$

Notice the digits are aligned correctly according to their place value.

Step 2: Start adding from the rightmost column:

• Units column: $1 + 5 = 6$. Write 6 in the units place.

• Tens column: $9 + 4 = 13$. Write 3 in the tens place and carry over 1 to the hundreds place.

• Hundreds column: $7 + 1 = 8$, plus the carry over 1 gives $8 + 1 = 9$. Write 9 in the hundreds place.

Step 3: The final result is:

$\begin{array}{c} & & 9 & 3 & 6 \\ \end{array}$

Therefore, the sum of 791 and 145 is $\textbf{936}$.