Solve Vertical Addition: 346 + 965 Step by Step

Video Solution

Solution Steps

00:00 Solve

00:03 Each time consider combining 2 digits, and then we'll place

00:06 Let's start by combining ones with ones

00:09 Place the ones, add 1 to the tens

00:13 Combine tens with tens, remember to add 1 to the calculation

00:19 Place tens in tens, add 1 to hundreds

00:23 Combine hundreds with hundreds, remember to add 1

00:29 Place hundreds in hundreds, and add 1 to thousands

00:33 Place 0 in the missing digits

00:37 Combine thousands with thousands, remember to add 1

00:40 Place in thousands

00:43 And this is the solution to the question

Step-by-Step Solution

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 $\mathbf{1311}$ .