Solve Vertical Addition: 33 + 8 Step-by-Step

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

• Step 1: Align the numbers by their place value.
• Step 2: Begin adding from the rightmost column (ones place).
• Step 3: Carry over any value over 9 to the next left column.
• Step 4: Continue with the next column (tens place), including any carried over value.

Now, let's perform the addition:

Vertical addition setup:
$\begin{aligned} &33 \\ + &~~8 \\ &\underline{\phantom{776}} \end{aligned}$

Step 1: Add the ones digits: $3 + 8 = 11$. We write 1 in the ones place and carry over 1 to the tens place.

Step 2: Add the tens digits (3 from 33 and 0 from 8, since it has no tens digit), including any carry: $3 + 1 = 4$.

This gives us:

$\begin{aligned} &33 \\ + &~~8 \\ &\underline{\phantom{776}} \\ &41 \end{aligned}$

Therefore, the solution to the problem is $\textbf{41}$.