Solve Vertical Addition: 67 + 3 Step-by-Step

Q: Why can't I just write 10 in the ones place?

Each column can only hold one digit! When you get 10, the 0 stays in the ones place and the 1 moves to the tens place. This is called carrying or regrouping.

Q: What if there's no number in the tens place of the second addend?

That's okay! Just treat it as zero. In this problem, 3 is the same as 03, so you're adding 6 + 0 + 1 (the carried amount) = 7 in the tens column.

Q: How do I know when to carry?

You carry whenever the sum of digits in any column is 10 or greater. Write down the ones digit and carry the tens digit to the next column on the left.

Q: Can I check my answer without doing the problem over?

Yes! Try subtraction: 70 - 3 should equal 67. Or add the numbers in a different order: 3 + 67 = 70. Both methods confirm your answer is correct!

Q: What if I need to carry more than once in the same problem?

No problem! Just work column by column from right to left. Each time you get 10 or more, write the ones digit and carry the rest to the next column. Keep going until you finish all columns.

Vertical Addition with Carrying

$\begin{aligned} &67 \\ +& \\ &~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:02 Let's solve this problem step by step.

00:06 First, add the digits in the ones place.

00:09 Add the ones place together and write the sum.

00:13 Then, add the tens place. Don't forget the carry-over.

00:18 Remember to carry over any number larger than nine.

00:22 If there isn't a digit in a place, fill it with zero.

00:27 Now, add the tens place numbers and include the carry-over.

00:31 Write the result in the tens place.

00:34 Great job! That's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &67 \\ +& \\ &~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

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

Step 1: Align the numbers vertically according to their place values:
$\begin{aligned} &67 \\ +& \\ &~~3 \\ &\underline{\phantom{776}} \end{aligned}$
Step 2: Begin adding from the rightmost column (units).
Step 3: Add the digits in the units place: $7 + 3 = 10$ .
Step 4: Since the result is 10, write down the 0 under the units column and carry over the 1 to the tens column.
Step 5: Next, add the digits in the tens column: $6 + 1 = 7$ .
Step 6: Combine the results from the tens and units columns to form the final sum.

Therefore, the solution to the problem is $70$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Place Value Alignment: Line up ones with ones, tens with tens
Carrying Technique: When 7 + 3 = 10, write 0 and carry 1
Check: Verify by adding horizontally: 67 + 3 = 70 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry the 1 to the tens column
Don't just write 10 in the units place = wrong answer of 610! When your sum is 10 or more, you must write the ones digit and carry the tens digit to the next column. Always carry over when the sum exceeds 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

Why can't I just write 10 in the ones place?

Each column can only hold one digit! When you get 10, the 0 stays in the ones place and the 1 moves to the tens place. This is called carrying or regrouping.

What if there's no number in the tens place of the second addend?

That's okay! Just treat it as zero. In this problem, 3 is the same as 03, so you're adding 6 + 0 + 1 (the carried amount) = 7 in the tens column.

How do I know when to carry?

You carry whenever the sum of digits in any column is 10 or greater. Write down the ones digit and carry the tens digit to the next column on the left.

Can I check my answer without doing the problem over?

Yes! Try subtraction: 70 - 3 should equal 67. Or add the numbers in a different order: 3 + 67 = 70. Both methods confirm your answer is correct!

What if I need to carry more than once in the same problem?

No problem! Just work column by column from right to left. Each time you get 10 or more, write the ones digit and carry the rest to the next column. Keep going until you finish all columns.

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