Solve Vertical Addition: 57 + 2 Step by Step

Q: Why do I need to align the digits carefully in vertical addition?

Proper alignment ensures you're adding numbers in the same place value. Ones go under ones, tens under tens. This prevents mixing up which digits belong together!

Q: Do I always start adding from the right side?

Yes! Always start with the ones column (rightmost) and work left. This matches how we count and prevents errors with carrying over.

Q: How can I double-check my vertical addition answer?

Try these methods:Add the numbers in a different order: $ 2 + 57 = 59 $Use mental math: 57 plus 2 more makes 59Subtract to check: $ 59 - 2 = 57 $ ✓

Q: What if I get confused about which column to add first?

Remember: Right to Left! Think of reading backwards. Start with the ones place (rightmost column), then move left to tens, hundreds, etc.

Vertical Addition with Two-Digit Numbers

$\begin{aligned} &57\\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve this problem together.

00:06 Each time, we'll calculate the sum of two digits and substitute it.

00:12 We'll begin by adding the ones place. Substitute the solution here.

00:17 Put a zero where there's no digit.

00:21 Next, add the tens place and substitute the result.

00:24 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &57\\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we will use vertical addition:

Step 1: Write down the numbers as they are presented, ensuring digits are aligned:
$\begin{array}{c} 57\\ + 2 \\ \hline \\ \end{array}$
Step 2: Add the units column first, which contains 7 and 2:

$7 + 2 = 9$

Step 3: Since there is no other digit in the tens column from the number 2, bring down the 5 as it is.

Thus, the tens column remains the same: $5$ .

Step 4: Write down the final answer below the line:
$\begin{array}{c} 57\\ + 2 \\ \hline 59 \\ \end{array}$

Therefore, the sum of 57 and 2 is $59$ , which corresponds to the correct choice 1.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Always align digits by place value when adding vertically
Technique: Add ones column first: 7 + 2 = 9, then tens column
Check: Verify by counting up from 57: 58, 59 matches our answer ✓

Common Mistakes

Avoid these frequent errors

Misaligning digits in different place value columns
Don't write 2 under the 5 in the tens column = wrong alignment gives 52 + 7 = 59 by accident! This creates confusion about place values. Always align the 2 under the 7 in the ones column.

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 align the digits carefully in vertical addition?

Proper alignment ensures you're adding numbers in the same place value. Ones go under ones, tens under tens. This prevents mixing up which digits belong together!

What if one number has fewer digits than the other?

That's normal! In 57 + 2, the number 2 only has a ones digit. Just align it under the ones column (under the 7) and bring down the tens digit (5) unchanged.

Do I always start adding from the right side?

Yes! Always start with the ones column (rightmost) and work left. This matches how we count and prevents errors with carrying over.

How can I double-check my vertical addition answer?

Try these methods:

Add the numbers in a different order: $2 + 57 = 59$
Use mental math: 57 plus 2 more makes 59
Subtract to check: $59 - 2 = 57$ ✓

What if I get confused about which column to add first?

Remember: Right to Left! Think of reading backwards. Start with the ones place (rightmost column), then move left to tens, hundreds, etc.

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