Solve 317 + 45: Vertical Format Addition Practice

$\begin{aligned} &317 \\ +& \\ &~~45 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we'll carry out vertical addition:

• Step 1: Add the rightmost digits (units place): $7 + 5 = 12$. Since 12 is more than 9, we write 2 in the units place and carry over 1 to the tens place.
• Step 2: Add the tens place along with the carried-over digit: $1 + 1 + 4 = 6$. Write 6 in the tens place.
• Step 3: Add the hundreds place: $3 + (0 \text{ since there is no hundreds digit from 45}) = 3$. Write 3 in the hundreds place.

Therefore, the sum of the numbers 317 and 45 is $\mathbf{362}$.

The correct choice from the given options that matches this sum is choice 4: $362$.