Solve Vertical Addition: 236 + 7 Step by Step

Q: Why do I need to carry over when adding 6 + 7?

When two digits add up to 10 or more, you can't write a two-digit number in one place! The $13$ becomes 3 in the units and 1 carried to tens.

Q: What does 'regrouping' mean in addition?

Regrouping means taking 10 ones and trading them for 1 ten (or 10 tens for 1 hundred). It's like exchanging 10 pennies for 1 dime!

Q: How do I know where to write the carried number?

Always write the carry-over above the next column to the left. For $6 + 7 = 13$, write the 1 above the tens column.

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

Yes! Try subtraction: $243 - 7 = 236$. If you get back to your original number, your addition is correct!

Vertical Addition with Regrouping

$\begin{aligned} &236 \\ +& \\ &~~~~7 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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'll calculate the sum of 2 digits, and then we'll substitute

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

00:09 Place the ones in ones position, add 1 to tens

00:12 Place 0 in the missing digits

00:15 Add the tens, remember to add 1, and place in tens position

00:19 Place 0 in the missing digits

00:25 Add the hundreds, and place in hundreds position

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

$\begin{aligned} &236 \\ +& \\ &~~~~7 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll perform vertical addition:

Align 236 and 7 by their units (rightmost digits).
Add the numbers starting from the rightmost digit (units), moving left:

Calculating step-by-step:
Step 1: Add the units digit. - Add $6$ (units place of 236) and $7$ (units place): $6 + 7 = 13$ .
- This requires regrouping since the sum is more than $9$ . Thus, write $3$ in the units place and carry over $1$ to the tens place.

Step 2: Add the tens digit. - Add the carry-over $1$ to the tens digit of 236, $3$ : $1 + 3 = 4$ .
- Place $4$ in the tens column.

Step 3: Add the hundreds digit. - There is only the hundreds digit $2$ from 236, and no carry-over: Thus result is also $2$ in the hundreds column.

Putting it all together, the sum is: $243$ .

Therefore, the solution to the problem is $243$ .

Final Answer

243

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value columns correctly
Technique: When $6 + 7 = 13$ , write 3 and carry 1
Check: Count up from 236: 237, 238, 239, 240, 241, 242, 243 ✓

Common Mistakes

Avoid these frequent errors

Not aligning digits by place value
Don't line up 7 under the hundreds place of 236 = wrong sum like 306! This misaligns place values and creates incorrect calculations. Always align the rightmost digits (units) first, then work left.

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 need to carry over when adding 6 + 7?

When two digits add up to 10 or more, you can't write a two-digit number in one place! The $13$ becomes 3 in the units and 1 carried to tens.

What does 'regrouping' mean in addition?

Regrouping means taking 10 ones and trading them for 1 ten (or 10 tens for 1 hundred). It's like exchanging 10 pennies for 1 dime!

How do I know where to write the carried number?

Always write the carry-over above the next column to the left. For $6 + 7 = 13$ , write the 1 above the tens column.

What if there's nothing to add in the tens place?

You still add the carry-over! In this problem, there's no tens digit in 7, so you add $1 + 3 + 0 = 4$ in the tens column.

Can I check my answer without doing the problem again?

Yes! Try subtraction: $243 - 7 = 236$ . If you get back to your original number, your addition is correct!

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