Solve 383 + 308: Three-Digit Addition in Vertical Format

Q: Why do I need to carry when the sum is 10 or more?

Each column can only hold one digit (0-9). When your sum is 10 or more, you have extra value that belongs in the next column to the left. Carrying moves this extra value to its proper place!

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

Your answer will be too small! In this problem, forgetting to add the carried 1 in the tens column would give you 681 instead of 691. Always remember to include any carried digits in your next column.

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

Try these methods: Add again using the same methodReverse check: subtract one addend from your answer to get the otherEstimate: 383 + 308 should be close to 400 + 300 = 700

Q: What if there's no number in a column to add?

Treat it as zero! In this problem, the tens column has 8 + 0 (since 308 has 0 in tens place). Just add normally: any number plus zero equals that same number.

Three-Digit Addition with Carrying

$\begin{aligned} &383 \\ +& \\ &308 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

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

00:09 Place the ones, add 1 to tens

00:12 Add tens with tens, remember to add 1 to the calculation

00:20 Place in tens

00:25 Add hundreds with hundreds, and place in hundreds

00:28 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

$\begin{aligned} &383 \\ +& \\ &308 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we will perform vertical addition, a common technique for summing numbers.

Let's add the numbers 383 and 308 step-by-step:

Step 1: Add the units (rightmost) column:
The units digits are 3 and 8.
$3 + 8 = 11$ .
Since this sum is greater than 9, we write down 1 in the units place and carry over 1 to the next column (tens place).
Step 2: Add the tens column, including the carry:
The tens digits are 8 and 0, plus the 1 carried over.
$8 + 0 + 1 = 9$ .
Write 9 in the tens place.
Step 3: Add the hundreds column:
The hundreds digits are 3 and 3.
$3 + 3 = 6$ .
Write 6 in the hundreds place.

Putting it all together, the sum of 383 and 308 is $691$ .

Therefore, the correct answer to the problem is $691$ .

Final Answer

691

Key Points to Remember

Essential concepts to master this topic

Rule: Start from rightmost column and carry when sum exceeds 9
Technique: For 3 + 8 = 11, write 1 and carry 1
Check: Verify by adding left to right: 600 + 90 + 1 = 691 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when column sum is 10 or more
Don't write 11 in the units place when 3 + 8 = 11! This creates a two-digit number in a single column, making your answer wrong. Always write the units digit and carry the tens digit 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

Why do I need to carry when the sum is 10 or more?

Each column can only hold one digit (0-9). When your sum is 10 or more, you have extra value that belongs in the next column to the left. Carrying moves this extra value to its proper place!

What if I forget to add the carried number?

Your answer will be too small! In this problem, forgetting to add the carried 1 in the tens column would give you 681 instead of 691. Always remember to include any carried digits in your next column.

Can I add from left to right instead?

It's much harder! Adding right to left lets you handle carrying as you go. If you add left to right, you'd need to go back and adjust columns when you discover carries later. Stick with right to left!

How do I check if my addition is correct?

Try these methods:

Add again using the same method
Reverse check: subtract one addend from your answer to get the other
Estimate: 383 + 308 should be close to 400 + 300 = 700

What if there's no number in a column to add?

Treat it as zero! In this problem, the tens column has 8 + 0 (since 308 has 0 in tens place). Just add normally: any number plus zero equals that same number.

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