Add Three-Digit Numbers: 247 + 363 Vertical Addition

Q: What does 'carry over' mean in addition?

When adding digits results in a number 10 or greater, you write down the units digit and 'carry' the tens digit to the next column. For example, $7 + 3 = 10$, so write 0 and carry 1.

Q: Why do I start adding from the right side?

We start from the units place (rightmost) because any carrying affects the next column to the left. This ensures we handle place values correctly from smallest to largest.

Q: How can I check if my vertical addition is correct?

Try adding the numbers horizontally or use a calculator. Also, estimate first: $247 + 363$ is close to $250 + 360 = 610$, so 610 makes sense!

Q: Can I add the hundreds first instead of units first?

No! Always start with the units place. If you start with hundreds, you won't know what to carry over from the smaller place values, leading to incorrect results.

Vertical Addition with Carrying Operations

$\begin{aligned} &247 \\ +& \\ &363 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this step-by-step.

00:09 First, we'll add two digits together. Then, replace the original numbers.

00:14 We'll begin by adding the ones column.

00:18 Write the ones digit here and carry over one to the tens.

00:23 Now, add the tens column and don't forget to include the extra one.

00:28 Put the tens number in place and carry over another one to the hundreds.

00:33 Let's add the hundreds column, remembering the extra one.

00:37 Place the result in the hundreds position.

00:41 And that's how you solve this problem. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &247 \\ +& \\ &363 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll perform vertical addition:

Step 1: Add the digits in the units place:
$7 + 3 = 10$ . Write down 0 and carry over 1 to the tens place.
Step 2: Add the digits in the tens place including the carried over 1:
$4 + 6 + 1 = 11$ . Write down 1 and carry over 1 to the hundreds place.
Step 3: Add the digits in the hundreds place including the carried over 1:
$2 + 3 + 1 = 6$ .

Therefore, the solution to the problem is $610$ .

Final Answer

610

Key Points to Remember

Essential concepts to master this topic

Rule: Add column by column starting from the rightmost units place
Technique: When sum exceeds 9, write units digit and carry tens digit
Check: Verify 247 + 363 = 610 by adding horizontally ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write 10 in the units place when 7 + 3 = 10! This ignores place value rules and gives 24710 instead of 610. Always write the units digit (0) and carry the tens digit (1) to the next column.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What does 'carry over' mean in addition?

When adding digits results in a number 10 or greater, you write down the units digit and 'carry' the tens digit to the next column. For example, $7 + 3 = 10$ , so write 0 and carry 1.

Why do I start adding from the right side?

We start from the units place (rightmost) because any carrying affects the next column to the left. This ensures we handle place values correctly from smallest to largest.

What if I forget to add the carried number?

Your answer will be wrong! In this problem, forgetting the carried 1 in tens place gives $4 + 6 = 10$ instead of $4 + 6 + 1 = 11$ , making your final answer 600 instead of 610.

How can I check if my vertical addition is correct?

Try adding the numbers horizontally or use a calculator. Also, estimate first: $247 + 363$ is close to $250 + 360 = 610$ , so 610 makes sense!

Can I add the hundreds first instead of units first?

No! Always start with the units place. If you start with hundreds, you won't know what to carry over from the smaller place values, leading to incorrect results.

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