Solve Three-Digit Addition: 574 + 313 in Vertical Format

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

We start from the ones column (rightmost) because that's how our number system works! If there's carrying involved, we need to know what to carry to the next column before we add it.

Q: What if I get confused about which column I'm in?

Use your finger or a piece of paper to cover the other columns while you work on one at a time. Remember: ones, tens, hundreds from right to left!

Q: Do I always write the numbers exactly like shown?

Yes! Make sure the 574 is on top and 313 is below it with the + sign in front of the bottom number. This standard format helps prevent mistakes.

Q: How can I double-check my work?

Try adding the numbers in a different order: 313 + 574. You should get the same answer! You can also use a calculator to verify your result.

Q: What if the numbers had different amounts of digits?

No problem! Just make sure to align by place value. For example, if adding 74 + 313, put the 74 under the last two digits of 313, so the 4 lines up with the 3 in the ones place.

Vertical Addition with Three-Digit Numbers

$\begin{aligned} &574 \\ +& \\ &313 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem together!

00:08 First, we'll add the digits in the ones place.

00:11 Next, we add the numbers in the tens place.

00:14 Then, add the digits in the hundreds place.

00:18 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &574 \\ +& \\ &313 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this vertical addition problem, follow these steps:

First, write the two numbers vertically, aligning them by their place values:
$\begin{aligned} &574 \\ +& \\ &313 \\ \end{aligned}$
Add the digits in the ones column (far right):
- 4 + 3 = 7
Proceed to the tens column (middle):
- 7 + 1 = 8
Finally, add the digits in the hundreds column (far left):
- 5 + 3 = 8

Thus, the sum of 574 and 313 is $887$ , which matches the correct answer choice.

Final Answer

887

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value columns (ones, tens, hundreds)
Technique: Add column by column from right to left: 4+3=7, 7+1=8, 5+3=8
Check: Verify by adding horizontally: 574 + 313 = 887 ✓

Common Mistakes

Avoid these frequent errors

Misaligning place value columns
Don't line up numbers randomly without considering place values = wrong sums like 905 or 667! This creates incorrect column additions because digits aren't in their proper positions. Always align the ones digits directly under each other, then tens under tens, hundreds under hundreds.

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 start adding from the right side?

We start from the ones column (rightmost) because that's how our number system works! If there's carrying involved, we need to know what to carry to the next column before we add it.

What if I get confused about which column I'm in?

Use your finger or a piece of paper to cover the other columns while you work on one at a time. Remember: ones, tens, hundreds from right to left!

Do I always write the numbers exactly like shown?

Yes! Make sure the 574 is on top and 313 is below it with the + sign in front of the bottom number. This standard format helps prevent mistakes.

How can I double-check my work?

Try adding the numbers in a different order: 313 + 574. You should get the same answer! You can also use a calculator to verify your result.

What if the numbers had different amounts of digits?

No problem! Just make sure to align by place value. For example, if adding 74 + 313, put the 74 under the last two digits of 313, so the 4 lines up with the 3 in the ones place.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime