Calculate 574 + 333: Three-Digit Addition in Vertical Format

Q: What does it mean to 'carry' a number?

When adding a column gives you 10 or more, you write the ones digit in that column and add the tens digit to the next column left. Think of it like trading 10 ones for 1 ten!

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

We start with the ones place because carrying moves left to bigger place values. Just like counting money - you count pennies first, then dimes, then dollars!

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

Try these methods: Add backwards: 333 + 574 should equal 907Estimate: 574 ≈ 580, 333 ≈ 330, so 580 + 330 = 910 (close to 907!)Subtract: 907 - 574 should equal 333

Q: Can I add the columns in any order I want?

No! Always start from the rightmost column (ones place) and work left. This ensures you handle carrying correctly and don't mess up the place values.

Three-Digit Addition with Column Carrying

$\begin{aligned} &574 \\ +& \\ &333 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this problem together!

00:09 First, we add the two digits together and replace the old numbers.

00:14 Start by adding the ones place. Replace them with the new sum.

00:19 Next, add the tens place. Good job!

00:23 Replace the tens and remember to carry over 1 to the hundreds.

00:27 Now, add the hundreds place and include the extra 1.

00:32 Replace it in the hundreds place.

00:35 And that's how we find the solution. Great work!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &574 \\ +& \\ &333 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we will perform vertical addition, ensuring proper handling of place values and carrying, as necessary.

Here’s how the addition progresses step-by-step:

Step 1: Add the ones place (rightmost column).
$4 + 3 = 7$
No carrying is needed since the sum is less than 10.
Step 2: Add the tens place.
$7 + 3 = 10$
Write 0 in the tens position and carry over 1 to the hundreds column.
Step 3: Add the hundreds place with the carried over value.
$5 + 3 + 1 = 9$
There's no further carrying needed because the sum is less than 10.

The final sum is obtained by combining the results from each column, giving us:

$\underline{907}$

So, the sum of 574 and 333 is $907$ .

Final Answer

907

Key Points to Remember

Essential concepts to master this topic

Rule: Add digits in same place value column from right to left
Technique: When sum ≥ 10, write ones digit and carry tens digit: 7+3=10, write 0 carry 1
Check: Add answer backwards or use estimation: 574+333≈580+330=910, got 907 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry when column sum is 10 or more
Don't just write the full sum like 10 in the tens place = wrong place values! When 7+3=10, writing 10 makes your answer 51007 instead of 907. Always write only 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 it mean to 'carry' a number?

When adding a column gives you 10 or more, you write the ones digit in that column and add the tens digit to the next column left. Think of it like trading 10 ones for 1 ten!

Why do we start adding from the right side?

We start with the ones place because carrying moves left to bigger place values. Just like counting money - you count pennies first, then dimes, then dollars!

What if I forget to add the carried number?

Your answer will be wrong! In this problem, forgetting the carried 1 would give you 807 instead of 907. Always double-check that you've added any carried numbers to each column.

How can I check if my addition is correct?

Try these methods:

Add backwards: 333 + 574 should equal 907
Estimate: 574 ≈ 580, 333 ≈ 330, so 580 + 330 = 910 (close to 907!)
Subtract: 907 - 574 should equal 333

Can I add the columns in any order I want?

No! Always start from the rightmost column (ones place) and work left. This ensures you handle carrying correctly and don't mess up the place values.

What if there's carrying in multiple columns?

Handle each column one at a time! Add the column, write the ones digit, carry the tens digit to the next column, then repeat. Take your time and don't rush through multiple carries.

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