Solve Three-Digit Addition: 434 + 376 in Vertical Format

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

When two digits add up to 10 or more, you write down the ones digit and carry the tens digit to the next column. It's like exchanging 10 ones for 1 ten!

Q: Why can't I just write 10 in the units column?

Each column can only hold one digit (0-9). Writing 10 breaks this rule and makes your answer wrong. Always separate: write 0, carry 1.

Q: How do I keep track of what I'm carrying?

Write small carry numbers above the next column as you work. For example, write a small '1' above the tens column when you carry from units place.

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

Use subtraction to check: $810 - 376 = 434$ or $810 - 434 = 376$. If you get back to your original numbers, you're right!

Column Addition with Regrouping Carry-Over

$\begin{aligned} &434 \\ +& \\ &376 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem step by step.

00:09 First, we calculate the sum of two digits each time.

00:14 Start by adding the ones place to the ones place.

00:18 Put the result in the ones place, and carry one to the tens.

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

00:28 Put this result in the tens place, and carry one to the hundreds.

00:33 Finally, add the hundreds place to the hundreds place, with the extra one.

00:38 Place the final result in the hundreds place.

00:41 Great work! That's how you solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &434 \\ +& \\ &376 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this addition problem, we will use vertical addition, adding each place value step-by-step:

Step 1: Add the units place
Add the digits in the units place: $4 + 6 = 10$ .
Write down 0 and carry over 1 to the tens column.
Step 2: Add the tens place
Add the digits in the tens place along with the carry: $3 + 7 + 1 = 11$ .
Write down 1 and carry over 1 to the hundreds column.
Step 3: Add the hundreds place
Add the digits in the hundreds place along with the carry: $4 + 3 + 1 = 8$ .
Write down 8.

After performing these steps, the final result of the addition is $810$ .

810

Final Answer

810

Key Points to Remember

Essential concepts to master this topic

Place Values: Add digits in units, tens, hundreds columns separately
Carry Method: When sum ≥ 10, write ones digit and carry tens digit left
Verification: Check by adding backwards: 810 - 376 = 434 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry digits when sum exceeds 9
Don't write down 10 in the units place when 4 + 6 = 10 = wrong alignment! This creates numbers with more than one digit per column. Always write the ones digit and carry the tens digit to the next 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 'carry over' really mean in addition?

When two digits add up to 10 or more, you write down the ones digit and carry the tens digit to the next column. It's like exchanging 10 ones for 1 ten!

Why can't I just write 10 in the units column?

Each column can only hold one digit (0-9). Writing 10 breaks this rule and makes your answer wrong. Always separate: write 0, carry 1.

How do I keep track of what I'm carrying?

Write small carry numbers above the next column as you work. For example, write a small '1' above the tens column when you carry from units place.

What if I need to carry multiple times?

That's totally normal! In this problem, we carry from units to tens and from tens to hundreds. Just handle one carry at a time, left to right.

How can I check if my addition is correct?

Use subtraction to check: $810 - 376 = 434$ or $810 - 434 = 376$ . If you get back to your original numbers, you're right!

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