Solve Vertical Addition: 346 + 62 Step-by-Step

Q: What does 'carrying over' actually mean?

When adding digits gives you 10 or more, you write the ones digit and 'carry' the tens digit to the next column. Like when 4+6=10, write 0 and carry the 1 left.

Q: Why do we start from the right side?

We start from the units place because any carrying affects the next column to the left. Starting right ensures we handle all carries correctly as we move left.

Q: What if there's no number in a column?

Treat empty spaces as zero! In this problem, 346+62 means the hundreds place for 62 is 0, so we add 3+0=3.

Q: How can I check my answer quickly?

Try estimation first! 346+62 is close to 350+60=410. Since 408 is close to 410, it looks right. Then verify with the exact calculation.

Q: What if I need to carry multiple times?

Handle each carry one column at a time! Don't worry about multiple carries - just focus on the current column and carry any extra digit to the left.

Vertical Addition with Carrying Over

$\begin{aligned} &346 \\ +& \\ &~~62 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time consider joining 2 digits, and then write

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

00:09 Write down the ones

00:12 Add tens with tens

00:17 Write tens in tens place, add 1 to hundreds

00:20 Write 0 in the missing digits

00:23 Add hundreds with hundreds, remember to add 1, write in hundreds

00:33 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &346 \\ +& \\ &~~62 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

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

Step 1: Align the numbers vertically by their place values.
$\begin{array}{c} 346 \\ + \ 62 \\ \underline{} \end{array}$
Step 2: Start addition from the rightmost column (units place).
Step 3: Add the units place: $6 + 2 = 8$ . Write 8 in the units place of the answer.
Step 4: Move to the tens place.
$\begin{array}{c} \phantom{0}346 \\ + \phantom{0}62 \\ \underline{408} \end{array}$
Step 5: Add the tens place: $4 + 6 = 10$ . Write 0 in the tens place and carry over 1 to the hundreds place.
Step 6: Move to the hundreds place. Add the hundreds, accounting for the carry: $3 + 1 = 4$ .
Step 7: Combine the results: The sum of the numbers is 408.

Therefore, the solution to the problem is $408$ .

Final Answer

408

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value to ensure accurate column addition
Technique: Add column by column from right to left, like 4+6=10
Check: Verify by adding horizontally: 346+62=408 matches vertical result ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write 10 in the tens column when 4+6=10! This gives 34610 instead of 408. The 10 means write 0 and carry 1 to the next column. Always carry the extra digit to the left column.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What does 'carrying over' actually mean?

When adding digits gives you 10 or more, you write the ones digit and 'carry' the tens digit to the next column. Like when 4+6=10, write 0 and carry the 1 left.

Why do we start from the right side?

We start from the units place because any carrying affects the next column to the left. Starting right ensures we handle all carries correctly as we move left.

What if there's no number in a column?

Treat empty spaces as zero! In this problem, 346+62 means the hundreds place for 62 is 0, so we add 3+0=3.

How can I check my answer quickly?

Try estimation first! 346+62 is close to 350+60=410. Since 408 is close to 410, it looks right. Then verify with the exact calculation.

What if I need to carry multiple times?

Handle each carry one column at a time! Don't worry about multiple carries - just focus on the current column and carry any extra digit to the left.

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