Solve the Decimal Addition: 4.3 + 6.2 Step-by-Step

Q: Why do I need to line up the decimal points?

Lining up decimal points ensures you're adding the same place values together! The tenths place (3) must be added to the tenths place (2), not to the ones place.

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

The decimal point in your answer goes directly below the decimal points in the numbers you're adding. It stays in the same column!

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

Work from right to left! Start with the rightmost column (tenths: 3 + 2), then move to the ones place (4 + 6), just like regular addition.

Q: Can I check my answer a different way?

Yes! You can use estimation: 4.3 is about 4, and 6.2 is about 6, so 4 + 6 = 10. Your answer of 10.5 is very close to 10, so it makes sense!

Decimal Addition with Place Value Alignment

$4.3+6.2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 We will use long addition for calculation

00:09 We will place the decimal point in the appropriate position

00:12 We will start by adding the smallest corresponding digits

00:16 We will place and continue to add and calculate

00:19 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

$4.3+6.2=$

Step-by-step solution

To solve the addition problem $4.3 + 6.2$ , follow these steps:

Step 1: Align the numbers by their decimal points as follows:
$4.3$
$+\,6.2$
Step 2: Add the digits to the right of the decimal point first:
$3 + 2 = 5$
Step 3: Add the digits to the left of the decimal point:
$4 + 6 = 10$

Now, place the decimal point in the result directly below the other decimal points:

$4.3 + 6.2 = 10.5$

Therefore, the solution to the problem is $10.5$ .

Final Answer

10.5

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up decimal points vertically before adding
Technique: Add column by column: 3 + 2 = 5, then 4 + 6 = 10
Check: Count decimal places: both numbers have one, answer has one ✓

Common Mistakes

Avoid these frequent errors

Adding without aligning decimal points
Don't just add 43 + 62 = 105 and guess where the decimal goes! This ignores place value and gives wrong results like 1.05 or 105. Always align decimal points first, then add column by column to get 10.5.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to line up the decimal points?

Lining up decimal points ensures you're adding the same place values together! The tenths place (3) must be added to the tenths place (2), not to the ones place.

What if the decimal points don't line up neatly?

They should always line up when you write them vertically! If one number seems shorter, you can add zeros to the right: 4.3 becomes 4.30 if needed.

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

The decimal point in your answer goes directly below the decimal points in the numbers you're adding. It stays in the same column!

What if I get confused about which digits to add?

Work from right to left! Start with the rightmost column (tenths: 3 + 2), then move to the ones place (4 + 6), just like regular addition.

Can I check my answer a different way?

Yes! You can use estimation: 4.3 is about 4, and 6.2 is about 6, so 4 + 6 = 10. Your answer of 10.5 is very close to 10, so it makes sense!

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