Solve Vertical Addition: 543 + 8 Step by Step

Q: Why do I need to line up the numbers by place value?

Proper alignment ensures you're adding units to units, tens to tens, and hundreds to hundreds. If 8 isn't aligned under the 3, you might accidentally add it to the wrong place value!

Q: What does 'carry over' or 'regrouping' mean?

When adding digits gives you a number 10 or greater, you write the ones digit and carry the tens digit to the next column. Like $3 + 8 = 11$ becomes write 1, carry 1.

Q: How do I know when to regroup?

Regroup whenever the sum of digits in any column is 10 or more. The carried digit gets added to the next column to the left.

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

Try adding from left to right: $500 + 40 + 3 + 8 = 551$, or use subtraction: $551 - 8 = 543$ ✓

Q: Why is the answer 551 and not 552?

Careful with the regrouping! $3 + 8 = 11$ (write 1, carry 1), then $4 + 1 = 5$, not 6. The tens place only gets the carried 1, not an additional 1.

Vertical Addition with Regrouping

$\begin{aligned} &543 \\ +& \\ &~~~~8 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve the math problem step by step.

00:06 First, calculate the sum of each pair of digits.

00:11 We'll begin by adding the ones place digits together.

00:15 Put the sum in the ones place, and carry over one to the tens.

00:19 Don't forget, if a place is empty, fill it with a zero.

00:24 Now, add the tens. Remember to include the carried one, and place the sum in the tens place.

00:30 Again, put a zero in any empty place if needed.

00:33 Next, add the hundreds digits, and put the result in the hundreds place.

00:39 And that's how we solve this problem! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &543 \\ +& \\ &~~~~8 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll perform the following steps in vertical addition:

1. Write the numbers vertically, aligning them by their place values:
$\begin{aligned} &543 \\ + &~~~~8 \\ &\underline{\phantom{776}} \end{aligned}$

2. Begin with the units place (rightmost column):
Add $3$ (from $543$ ) and $8$ , which equals $11$ . Since this number is greater than $9$ , we have to regroup. Write down $1$ and carry over $1$ to the tens place.

3. Move to the tens place:
Add $4$ (from $543$ ) plus the carry-over $1$ , which equals $5$ . Write $5$ under the tens place column.

4. Finish with the hundreds place:
Add $5$ (from $543$ ), and since there is no carry-over, write $5$ under the hundreds place column.

Therefore, after completing the addition process, we have the result:

$\begin{aligned} &543 \\ + &~~~~8 \\ &\underline{551} \end{aligned}$

The solution to the addition problem is $551$ .

Final Answer

551

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up numbers by place value columns for accurate addition
Regrouping: When units sum equals 11, write 1 and carry 1 to tens
Check: Verify 543 + 8 = 551 by adding left to right ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when regrouping
Don't just write down 11 in the units place = wrong answer of 543811! When the sum is greater than 9, you must write the units digit and carry the tens digit to the next column. Always regroup by carrying over the extra digit.

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 line up the numbers by place value?

Proper alignment ensures you're adding units to units, tens to tens, and hundreds to hundreds. If 8 isn't aligned under the 3, you might accidentally add it to the wrong place value!

What does 'carry over' or 'regrouping' mean?

When adding digits gives you a number 10 or greater, you write the ones digit and carry the tens digit to the next column. Like $3 + 8 = 11$ becomes write 1, carry 1.

How do I know when to regroup?

Regroup whenever the sum of digits in any column is 10 or more. The carried digit gets added to the next column to the left.

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

Just bring down the original digit! In this problem, the tens place is $4 + 1$ (carried) = 5, and hundreds place is just 5 since there's nothing to add to it.

How can I check if my answer is correct?

Try adding from left to right: $500 + 40 + 3 + 8 = 551$ , or use subtraction: $551 - 8 = 543$ ✓

Why is the answer 551 and not 552?

Careful with the regrouping! $3 + 8 = 11$ (write 1, carry 1), then $4 + 1 = 5$ , not 6. The tens place only gets the carried 1, not an additional 1.

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