Solve Three-Digit Addition: 274 + 519 in Vertical Format

Q: What does 'carry' mean in addition?

When you add digits and get a sum 10 or greater, you write down the units digit and carry the tens digit to the next column. For example, $ 4 + 9 = 13 $ means write 3, carry 1.

Q: Why do I start from the right side?

You start from the units place (rightmost column) because carrying moves from right to left. If you started from the left, you wouldn't know what to carry yet!

Q: What if I forget to carry a number?

Your answer will be wrong by exactly 10, 100, or 1000 depending on which column you forgot! Always double-check each column for carries before moving to the next.

Q: How can I check if my answer is right?

Try horizontal addition: $ 274 + 519 $. Break it down: $ 200 + 500 = 700 $, $ 70 + 10 = 80 $, $ 4 + 9 = 13 $. Total: $ 700 + 80 + 13 = 793 $ ✓

Vertical Addition with Carrying

$\begin{aligned} &274 \\ +& \\ &519 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 consider combining 2 digits, and then place

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

00:09 Place the ones, add 1 to tens

00:14 Combine tens with tens, remember to add 1 to the calculation

00:20 Place in tens

00:26 Combine hundreds with hundreds, and place in hundreds

00:32 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &274 \\ +& \\ &519 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

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

Step 1: Add the digits in the units place.
Step 2: Add the digits in the tens place, remembering to carry over if needed.
Step 3: Add the digits in the hundreds place, again carrying over if needed.

Let's work through each step:

Step 1: Add the units digits: $4 + 9 = 13$ . We write down the 3 and carry over the 1.

Step 2: Add the tens digits, including the carried over 1: $7 + 1 + 1 = 9$ . Write down 9.

Step 3: Add the hundreds digits: $2 + 5 = 7$ . No need to carry over as the sum is less than 10. Write down 7.

The final sum from our calculation is 793, written directly below the line in the vertical addition setup.

Therefore, the solution to the problem is $793$ .

Final Answer

793

Key Points to Remember

Essential concepts to master this topic

Rule: Always start adding from the rightmost column first
Technique: When sum exceeds 9, carry the tens digit: $4 + 9 = 13$ , write 3 carry 1
Check: Verify by adding left to right: $274 + 519 = 793$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to add the carried digit
Don't write down just 7 + 1 = 8 in the tens place = wrong answer 783! You must add the carried 1 from the units column. Always remember: 7 + 1 + 1 (carried) = 9.

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' mean in addition?

When you add digits and get a sum 10 or greater, you write down the units digit and carry the tens digit to the next column. For example, $4 + 9 = 13$ means write 3, carry 1.

Why do I start from the right side?

You start from the units place (rightmost column) because carrying moves from right to left. If you started from the left, you wouldn't know what to carry yet!

What if I forget to carry a number?

Your answer will be wrong by exactly 10, 100, or 1000 depending on which column you forgot! Always double-check each column for carries before moving to the next.

How can I check if my answer is right?

Try horizontal addition: $274 + 519$ . Break it down: $200 + 500 = 700$ , $70 + 10 = 80$ , $4 + 9 = 13$ . Total: $700 + 80 + 13 = 793$ ✓

What if there's no carrying needed?

That's even easier! Just add straight down each column. For example, if you had $123 + 456$ , you'd get $3 + 6 = 9$ , $2 + 5 = 7$ , $1 + 4 = 5$ for 579.

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