Solve the Addition: 494 + 273 in Vertical Format

Q: Why do I need to line up the numbers by place value?

Lining up by place value ensures you're adding ones to ones, tens to tens, etc. If numbers aren't aligned properly, you'll get the wrong answer every time!

Q: What does 'carry' mean in addition?

When a column adds up to 10 or more, you carry the tens digit to the next column left. For example, 9 + 7 = 16, so write 6 and carry the 1.

Q: Do I always start adding from the right?

Yes! Always start with the ones place (rightmost column) and work left. This ensures you handle carrying correctly from column to column.

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

Try these methods: Add the numbers horizontally: $ 494 + 273 $Use a calculator to verifyAdd the columns again more slowly

Vertical Addition with Carrying

$\begin{aligned} &494 \\ +& \\ &273 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 together.

00:08 Each step, combine two digits carefully.

00:13 Start with the ones place. Add the digits in the ones.

00:17 Now, move to the tens. Combine the digits in the tens.

00:22 Put the result in the tens. Add one to the hundreds.

00:29 Combine hundreds with hundreds. Don't forget to add one.

00:35 Place the result in the hundreds.

00:38 And that's how we solve it! Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &494 \\ +& \\ &273 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll follow the process of vertical addition:

Step 1: Add the Ones Place: Add the digits in the ones place (4 + 3).
Result: 7; no carrying is required.
Step 2: Add the Tens Place: Add the digits in the tens place (9 + 7).
Result: 16; write down 6 and carry over the 1.
Step 3: Add the Hundreds Place: Add the digits in the hundreds place along with the carry (4 + 2 + 1).
Result: 7; no additional carrying is required.

Combining these results, the final sum is $767$ .

The correct multiple-choice answer is Choice 2: 767.

Final Answer

767

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Always align digits by place value columns
Carrying Technique: When sum ≥ 10, write ones digit and carry tens
Verification: Check by adding horizontally: 494 + 273 = 767 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry when column sum exceeds 9
Don't just write down the full sum like 16 in one column = wrong answer like 49416! This ignores place value completely. Always carry the tens digit to the next column left and write only the ones 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

Why do I need to line up the numbers by place value?

Lining up by place value ensures you're adding ones to ones, tens to tens, etc. If numbers aren't aligned properly, you'll get the wrong answer every time!

What does 'carry' mean in addition?

When a column adds up to 10 or more, you carry the tens digit to the next column left. For example, 9 + 7 = 16, so write 6 and carry the 1.

Do I always start adding from the right?

Yes! Always start with the ones place (rightmost column) and work left. This ensures you handle carrying correctly from column to column.

What if I forget to add the carried number?

Your answer will be wrong! In this problem, forgetting to add the carried 1 would give you 667 instead of 767. Always remember to add any carried digits.

How can I check if my vertical addition is correct?

Try these methods:

Add the numbers horizontally: $494 + 273$
Use a calculator to verify
Add the columns again more slowly

What if there's no carrying needed?

That's great! It makes the problem easier. Just add each column normally from right to left. For example: 123 + 456 = 579 with no carrying required.

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