Solve Three-Digit Addition: 376 + 214 in Vertical Format

Q: Why do I write 0 when 6 + 4 = 10?

Because 10 ones equal 1 ten! You can't write two digits in one place. Write the 0 ones in the ones place and carry the 1 ten to the tens column.

Q: Do I always start adding from the right?

Yes! Always start with the ones place (rightmost column) because you might need to carry digits to the left. Adding left to right could give you wrong totals.

Q: How can I check if 590 is correct?

Try different methods: Add 376 + 214 horizontallyBreak it down: 300 + 200 + 70 + 10 + 6 + 4Use a calculator to verify

Q: What if I forget which number to carry?

The carried number is always the tens digit of your sum. If 6 + 4 = 10, carry the 1. If 8 + 7 = 15, carry the 1. The ones digit stays in that column.

Three-Digit Addition with Carrying

$\begin{aligned} &376 \\ +& \\ &214 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 calculate the sum of 2 digits, and then we substitute

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

00:09 We'll substitute the ones, add 1 to the tens

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

00:19 Substitute in the tens place

00:25 Add hundreds with hundreds, substitute in the hundreds place

00:31 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

$\begin{aligned} &376 \\ +& \\ &214 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll use a step-by-step approach with vertical addition:

Step 1: Write both numbers vertically, aligning by place value.
$\begin{aligned} & \phantom{1}376 \\ + & \phantom{1}214 \\ \end{aligned}$
Step 2: Start with the ones place (rightmost column). Add 6 (from 376) and 4 (from 214):
$6 + 4 = 10$ . Write 0 in the ones place and carry over 1 to the tens place.
Step 3: Move to the tens place. Add 7 + 1 (carry) + 1:
$7 + 1 + 1 = 9$ . Write 9 in the tens place.
Step 4: Move to the hundreds place. Add 3 + 2:
$3 + 2 = 5$ . Write 5 in the hundreds place.

The final result of the addition is $590$ .

Therefore, the solution to the problem is $590$ .

Final Answer

590

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value - ones under ones, tens under tens
Technique: Start right: 6 + 4 = 10, write 0 carry 1
Check: Add left to right: 500 + 90 = 590 matches your answer ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry the 1 to the tens place
Don't ignore the carried digit when adding the tens column = getting 580 instead of 590! The carried 1 represents 10 ones that become 1 ten. Always add the carried digit to the next column's sum.

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

Why do I write 0 when 6 + 4 = 10?

Because 10 ones equal 1 ten! You can't write two digits in one place. Write the 0 ones in the ones place and carry the 1 ten to the tens column.

What does 'carry' mean in addition?

Carrying means moving a digit to the next place value when your sum is 10 or more. It's like exchanging: 10 ones become 1 ten, 10 tens become 1 hundred.

Do I always start adding from the right?

Yes! Always start with the ones place (rightmost column) because you might need to carry digits to the left. Adding left to right could give you wrong totals.

How can I check if 590 is correct?

Try different methods:

Add 376 + 214 horizontally
Break it down: 300 + 200 + 70 + 10 + 6 + 4
Use a calculator to verify

What if I forget which number to carry?

The carried number is always the tens digit of your sum. If 6 + 4 = 10, carry the 1. If 8 + 7 = 15, carry the 1. The ones digit stays in that column.

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