Solve Vertical Addition: 571 + 24 Step by Step

Q: Why do I line up the numbers from the right instead of left?

Numbers are lined up by place value! The rightmost digit is always the units place, then tens, then hundreds. If you line up from the left, you'll add wrong place values together.

Q: What do I do when one number has fewer digits?

Treat the missing digits as zeros! In 571 + 24, think of 24 as 024. The hundreds place of 24 is zero, so 5 + 0 = 5.

Q: Do I always start adding from the right?

Yes, always! Start from the units column and work left. This is important because if you need to carry over, you'll carry to the next column on the left.

Q: How can I check my answer without a calculator?

Try reverse addition! Subtract one of your original numbers from your answer. $595 - 24 = 571$ ✓ This confirms your addition is correct.

Q: What if I get confused about which column I'm in?

Use your finger or a ruler to cover the other columns. Focus on just one column at a time, starting from the rightmost (units) column.

Vertical Addition with Different Digit Numbers

$\begin{aligned} &571 \\ +& \\ &~~24 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 place

00:06 We'll start by adding ones with ones, place in ones

00:09 Add tens with tens, place in tens

00:12 Place 0 in the missing digits

00:15 Add hundreds with hundreds, place in hundreds

00:18 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

$\begin{aligned} &571 \\ +& \\ &~~24 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

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

Step 1: Align the numbers by their place values (units, tens, hundreds).
$\begin{array}{c} 571 \\ + ~24 \\ \underline{\phantom{776}} \\ \end{array}$
Step 2: Start adding from the rightmost column (units place).
$\begin{aligned} 1 + 4 = 5 \end{aligned}$
Step 3: Move to the tens column.
$\begin{aligned} 7 + 2 = 9 \end{aligned}$
Step 4: Move to the hundreds column. Since there is no number to add to 5, it remains 5.
$\begin{aligned} 5 + 0 = 5 \end{aligned}$
Thus, the sum of 571 and 24 is $595$ .

Conclusion: The solution to the problem is $595$ , which corresponds to choice 1 in the provided options.

Final Answer

595

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value with units column lined up
Technique: Add column by column from right to left: 1+4=5, 7+2=9, 5+0=5
Check: Verify by adding horizontally: 571 + 24 = 595 ✓

Common Mistakes

Avoid these frequent errors

Misaligning place values when numbers have different digits
Don't line up 571 and 24 from the left side = wrong alignment! This puts 24 in hundreds and tens place instead of tens and units. Always align numbers from the right side by place value.

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 line up the numbers from the right instead of left?

Numbers are lined up by place value! The rightmost digit is always the units place, then tens, then hundreds. If you line up from the left, you'll add wrong place values together.

What do I do when one number has fewer digits?

Treat the missing digits as zeros! In 571 + 24, think of 24 as 024. The hundreds place of 24 is zero, so 5 + 0 = 5.

Do I always start adding from the right?

Yes, always! Start from the units column and work left. This is important because if you need to carry over, you'll carry to the next column on the left.

How can I check my answer without a calculator?

Try reverse addition! Subtract one of your original numbers from your answer. $595 - 24 = 571$ ✓ This confirms your addition is correct.

What if I get confused about which column I'm in?

Use your finger or a ruler to cover the other columns. Focus on just one column at a time, starting from the rightmost (units) column.

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