Three-Digit Addition: Solve 664 + 227 in Vertical Format

Q: What does 'carrying' mean in addition?

When a column adds up to 10 or more, you write down the ones digit and 'carry' the tens digit to the next column. For example, $4 + 7 = 11$, so write 1 and carry 1.

Q: Why do I need to line up the numbers vertically?

Lining up numbers by place value ensures you're adding ones to ones, tens to tens, and hundreds to hundreds. This prevents mixing up different place values!

Q: What if I forget to add the carried number?

Always remember to add your carry to the next column! In this problem, the tens column is $6 + 2 + 1$ (carry) = 9, not just $6 + 2 = 8$.

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

Try adding the numbers in a different order or use estimation. Here, 664 + 227 is about 700 + 200 = 900, so 891 makes sense!

Three-Digit Addition with Carrying

$\begin{aligned} &664 \\ +& \\ &227 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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

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

00:18 Substitute in the tens place

00:24 Add hundreds with hundreds, and substitute in the hundreds place

00:30 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

$\begin{aligned} &664 \\ +& \\ &227 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem using vertical addition, we follow these steps:

Step 1: Add the digits in the ones column:
The ones digits are $4 + 7 = 11$ . We write down the 1 and carry over the other 1 to the tens column.
Step 2: Add the digits in the tens column, including the carry:
The tens digits are $6 + 2 = 8$ , plus the carry of $1$ makes $9$ . We write down the 9.
Step 3: Add the digits in the hundreds column:
The hundreds digits are $6 + 2 = 8$ . No carry from the previous column this time. We write down the 8.

Therefore, combining these, the final result of adding 664 and 227 is $891$ .

The correct choice from the multiple-choice options is $891$ .

Final Answer

891

Key Points to Remember

Essential concepts to master this topic

Column Rule: Start with ones column and move left systematically
Carrying: When sum ≥ 10, write ones digit and carry tens
Verification: Check by adding horizontally: 664 + 227 = 891 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when column sum exceeds 9
Don't write 11 in the ones place when 4 + 7 = 11! This creates an incorrect two-digit result in one column. Always write down the ones digit (1) and carry the tens digit (1) to the next column.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What does 'carrying' mean in addition?

When a column adds up to 10 or more, you write down the ones digit and 'carry' the tens digit to the next column. For example, $4 + 7 = 11$ , so write 1 and carry 1.

Why do I need to line up the numbers vertically?

Lining up numbers by place value ensures you're adding ones to ones, tens to tens, and hundreds to hundreds. This prevents mixing up different place values!

What if I forget to add the carried number?

Always remember to add your carry to the next column! In this problem, the tens column is $6 + 2 + 1$ (carry) = 9, not just $6 + 2 = 8$ .

How can I check if my answer is correct?

Try adding the numbers in a different order or use estimation. Here, 664 + 227 is about 700 + 200 = 900, so 891 makes sense!

What if there's no carrying needed?

That's easier! Just add each column straight down. But always double-check each column to make sure you don't miss any carries.

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