Solve the Addition Problem: 276 + 54 in Vertical Format

$\begin{aligned} &276 \\ +& \\ &~~54 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we'll perform the following steps:

• Align the numbers vertically with the smaller number (54) beneath the larger number (276), ensuring correct placement according to place values (units under units, tens under tens).

• Add the units digits: $6 + 4 = 10$. Write down 0 in the units place and carry over 1 to the tens place.

• Add the tens digits: $7 + 5 = 12$, plus the carried-over 1 gives us $13$. Write down 3 in the tens place and carry over 1 to the hundreds place.

• Add the hundreds digits: $2 + 0 = 2$, plus the carried-over 1 gives us $3$.

The numbers aligned look like this:

$\begin{aligned} & \phantom{1} 276 \\ + & \phantom{1} \underline{\phantom{0}54} \\ & \phantom{1} 330 \\ \end{aligned}$

Therefore, the solution to the problem is $330$.