Solve Vertical Addition: 234 + 16 Step by Step

Q: Why do I need to carry when adding 4 + 6?

Because $ 4 + 6 = 10 $, which has two digits! The 0 stays in the units column, but the 1 must carry over to the tens column since it represents 10.

Q: How do I line up the numbers correctly?

Always align by the rightmost digits! Write 234 on top, then write 16 below with the 6 under the 4 and the 1 under the 3. This keeps all place values in their proper columns.

Q: What if the numbers have different amounts of digits?

No problem! Just imagine invisible zeros in the empty spots. For example, 16 is really 016, so there's a 0 in the hundreds place that doesn't change our answer.

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

Try adding backwards! Start with your answer 250 and subtract 16: $ 250 - 16 = 234 $. If you get back to the original first number, you're correct!

Vertical Addition with Carrying

$\begin{aligned} &234 \\ +& \\ &~~16 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem together.

00:08 First, we'll combine two digits at a time.

00:11 Start by adding the ones. Add ones with ones.

00:16 Write down the result in the ones place. Carry over one to the tens.

00:21 Now, add tens with tens. Don't forget to include the one we've carried over.

00:26 Put the result in the tens place.

00:29 Fill any missing spaces with zero.

00:33 Next, add hundreds with hundreds. Write it in the hundreds place.

00:37 And that's how we find the solution to our question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &234 \\ +& \\ &~~16 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

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

Step 1: Write 234 and 16 vertically, aligning them by the rightmost digits:
$\begin{aligned} &234 \\ +& \\ &~~16 \\ \end{aligned}$
Step 2: Start adding from the rightmost column (units):

Add $4$ (units of 234) and $6$ (units of 16):
$4 + 6 = 10$
Write down $0$ and carry over $1$ to the tens column.

Step 3: Move to the tens column:

Add $3$ (tens of 234), $1$ (tens of 16), and the carried over $1$ :
$3 + 1 + 1 = 5$
Write down $5$ .

Step 4: Add the hundreds column:

$2$ (hundreds of 234):
Since there is no hundreds value in 16, it remains $2$ .

Therefore, the sum of 234 and 16 is $250$ .

Thus, the solution to the problem is $250$ , which corresponds to choice 2.

Final Answer

250

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value columns
Technique: Start from units: 4 + 6 = 10, write 0 carry 1
Check: Count up from 234: add 16 gives 250 ✓

Common Mistakes

Avoid these frequent errors

Not carrying over when sum exceeds 9
Don't write 10 in the units column = wrong place values! This puts too many digits in one column and gives incorrect answers. Always carry the tens digit to the next column when the sum is 10 or more.

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 adding 4 + 6?

Because $4 + 6 = 10$ , which has two digits! The 0 stays in the units column, but the 1 must carry over to the tens column since it represents 10.

What if I forget to add the carried number?

You'll get the wrong answer! In this problem, forgetting the carried 1 would give you $3 + 1 = 4$ in the tens column instead of $3 + 1 + 1 = 5$ , making your answer 240 instead of 250.

How do I line up the numbers correctly?

Always align by the rightmost digits! Write 234 on top, then write 16 below with the 6 under the 4 and the 1 under the 3. This keeps all place values in their proper columns.

What if the numbers have different amounts of digits?

No problem! Just imagine invisible zeros in the empty spots. For example, 16 is really 016, so there's a 0 in the hundreds place that doesn't change our answer.

How can I check if my answer is right?

Try adding backwards! Start with your answer 250 and subtract 16: $250 - 16 = 234$ . If you get back to the original first number, you're correct!

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