Solve the Addition Problem: 3 + 4.57 Step by Step

Q: Why do I need to write 3 as 3.00?

Writing 3 as 3.00 helps you see exactly where each digit belongs when adding. It makes the decimal points line up perfectly so you don't accidentally put digits in the wrong place value.

Q: What if I forget to line up the decimal points?

You'll get the wrong answer! For example, if you add 3 + 457 instead of 3.00 + 4.57, you get 460 instead of 7.57. Always align first, then add.

Q: Do I need to add zeros after the decimal point?

Adding zeros after the decimal helps with alignment, but 3.00 and 3 mean the same thing. The zeros just make it easier to line up with numbers that have more decimal places.

Q: How do I know where to put the decimal point in my answer?

The decimal point in your answer goes in the same column as the decimal points in the numbers you're adding. If 3.00 + 4.57, the answer's decimal goes right below theirs!

Q: Can I check my answer a different way?

Yes! You can use estimation: 3 + 4.57 is about 3 + 5 = 8. Since 7.57 is close to 8, your answer makes sense. Always do a quick estimate to catch big mistakes!

Decimal Addition with Alignment

$3+4.57=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this problem together.

00:09 We'll use vertical addition to make it easy.

00:15 Remember to line up the decimal points carefully.

00:25 Start by adding the smallest digits first.

00:29 Calculate each sum and carry over if needed.

00:36 Keep adding each column and substituting until finished.

00:56 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

$3+4.57=$

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Recognize the numbers to be added are $3$ and $4.57$ .
Step 2: Write $3$ as $3.00$ for easier alignment by the decimal point.
Step 3: Align the numbers:
$\phantom{0}3.00$
$+4.57$
Step 4: Add the numbers column by column starting from the rightmost column.

Let's perform the addition:

Rightmost column (hundredths): $0 + 7 = 7$ .
Next column (tenths): $0 + 5 = 5$ .
Next column (units): $3 + 4 = 7$ .

The sum of $3$ and $4.57$ is calculated as follows:

First, verify the alignment of the decimals, then add each column:

$3.00 + 4.57 = 7.57$

The calculated sum is $7.57$ .

The correct answer from the given choices is: $7.57$ , which matches choice 3.

Final Answer

7.57

Key Points to Remember

Essential concepts to master this topic

Alignment: Write whole numbers with decimal places for proper alignment
Technique: Convert 3 to 3.00, then align: 3.00 + 4.57
Check: Count decimal places: both addends and sum have 2 places ✓

Common Mistakes

Avoid these frequent errors

Adding without decimal alignment
Don't just add 3 + 457 = 460 ignoring the decimal! This treats 4.57 as a whole number and gives completely wrong results. Always align decimal points vertically before adding column by column.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct writing form:

FAQ

Everything you need to know about this question

Why do I need to write 3 as 3.00?

Writing 3 as 3.00 helps you see exactly where each digit belongs when adding. It makes the decimal points line up perfectly so you don't accidentally put digits in the wrong place value.

What if I forget to line up the decimal points?

You'll get the wrong answer! For example, if you add 3 + 457 instead of 3.00 + 4.57, you get 460 instead of 7.57. Always align first, then add.

Do I need to add zeros after the decimal point?

Adding zeros after the decimal helps with alignment, but 3.00 and 3 mean the same thing. The zeros just make it easier to line up with numbers that have more decimal places.

How do I know where to put the decimal point in my answer?

The decimal point in your answer goes in the same column as the decimal points in the numbers you're adding. If 3.00 + 4.57, the answer's decimal goes right below theirs!

Can I check my answer a different way?

Yes! You can use estimation: 3 + 4.57 is about 3 + 5 = 8. Since 7.57 is close to 8, your answer makes sense. Always do a quick estimate to catch big mistakes!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime