Solve Vertical Addition: 543 + 8 Step by Step

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

1. Write the numbers vertically, aligning them by their place values:
$\begin{aligned} &543 \\ + &~~~~8 \\ &\underline{\phantom{776}} \end{aligned}$

2. Begin with the units place (rightmost column):
Add $3$ (from $543$) and $8$, which equals $11$. Since this number is greater than $9$, we have to regroup. Write down $1$ and carry over $1$ to the tens place.

3. Move to the tens place:
Add $4$ (from $543$) plus the carry-over $1$, which equals $5$. Write $5$ under the tens place column.

4. Finish with the hundreds place:
Add $5$ (from $543$), and since there is no carry-over, write $5$ under the hundreds place column.

Therefore, after completing the addition process, we have the result:

$\begin{aligned} &543 \\ + &~~~~8 \\ &\underline{551} \end{aligned}$

The solution to the addition problem is $551$.