Solve Three-Digit Addition: 376 + 234 in Vertical Format

Q: What does 'carry over' actually mean?

When two digits add up to 10 or more, you write down the ones digit and 'carry' the tens digit to the next column. For example, 6+4=10, so write 0 and carry 1.

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

We start from the ones place (rightmost) because any carrying affects the column to the left. If we started from the left, we'd have to keep changing our answers!

Q: How can I check my addition without using a calculator?

Try adding the hundreds, tens, and ones separately: 300+200=500, 70+30=100, 6+4=10. Then add these results: 500+100+10=610. This should match your vertical addition!

Q: Is there a pattern to when I need to carry?

Yes! You carry whenever the sum of digits in a column is 10 or greater. In 376+234, both the ones (6+4=10) and tens (7+3=10, plus carry) needed carrying.

Three-Digit Addition with Carrying Operations

$\begin{aligned} &376\\ +& \\ &234 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 we'll calculate the sum of 2 digits, and then we'll substitute

00:06 We'll start by adding ones with ones

00:09 We'll place the ones in the ones place, and add 1 to the tens

00:12 We'll add tens with tens, remember to add 1 to the calculation

00:15 We'll place tens in tens place, and add 1 to the hundreds

00:18 We'll add hundreds with hundreds, remember to add 1 to the calculation

00:25 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

$\begin{aligned} &376\\ +& \\ &234 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

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

Step 1: Align the numbers vertically by their place values.
Step 2: Add each column starting from the right (ones place), carrying over if necessary.
Step 3: Compile the results to get the final sum.

Now, let's work through each step:

Step 1: Align the numbers: $\begin{array}{c} 376 \\ + 234 \\ \end{array}$

Step 2: Add starting from the ones place:

Ones place: $6 + 4 = 10$ . Write down $0$ and carry over $1$ .
Tens place: $7 + 3 = 10$ , plus the carry over $1$ equals $11$ . Write down $1$ and carry over $1$ .
Hundreds place: $3 + 2 = 5$ , plus the carry over $1$ equals $6$ . Write down $6$ .

Step 3: Compile the results: The sum is $610$ .

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

Final Answer

610

Key Points to Remember

Essential concepts to master this topic

Alignment Rule: Stack numbers by place value with ones digits aligned vertically
Technique: Add right to left, 6+4=10 means write 0, carry 1
Check: Add left to right for verification: 300+200=500, 70+30=100, 6+4=10, sum=610 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write down 10 in the ones place when 6+4=10! This creates a four-digit answer instead of three digits. Always carry the 1 to the next column and write only the remaining digit.

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 'carry over' actually mean?

When two digits add up to 10 or more, you write down the ones digit and 'carry' the tens digit to the next column. For example, 6+4=10, so write 0 and carry 1.

Why do I start adding from the right side?

We start from the ones place (rightmost) because any carrying affects the column to the left. If we started from the left, we'd have to keep changing our answers!

What if I forget to carry over a number?

You'll get the wrong answer! In this problem, forgetting to carry would give you 500 instead of 610. Always double-check that you've carried every time a column sum is 10 or more.

How can I check my addition without using a calculator?

Try adding the hundreds, tens, and ones separately: 300+200=500, 70+30=100, 6+4=10. Then add these results: 500+100+10=610. This should match your vertical addition!

Is there a pattern to when I need to carry?

Yes! You carry whenever the sum of digits in a column is 10 or greater. In 376+234, both the ones (6+4=10) and tens (7+3=10, plus carry) needed carrying.

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