Solve Vertical Addition: 346 + 965 Step by Step

$\begin{aligned} &346 \\ +& \\ &965 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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

• Step 1: Write the numbers 346 and 965 in a columnar fashion, aligning them by place value.
• Step 2: Add the numbers starting with the ones place.
• Step 3: Move to the tens place and add the digits, including any carry from the ones place.
• Step 4: Continue to the hundreds place, again including any carry from the tens place.

Let's break this down:

Step 1: Write vertically:
$\begin{aligned} &346\\ + &965\\ \end{aligned}$

Step 2: Add the ones place:
$6 + 5 = 11$. Write down 1 and carry over 1 to the tens place.

Step 3: Add the tens place (including carry):
$4 + 6 = 10$, plus the carry 1 makes 11. Write down 1 and carry over 1 to the hundreds place.

Step 4: Add the hundreds place (including carry):
$3 + 9 = 12$, plus the carry 1 makes 13. Write down 13 as there are no more places to carry over.

Thus, the sum of 346 and 965 is $\underline{1311}$.

Therefore, the solution to the problem is $\mathbf{1311}$.