Converting the Fraction 3/10 to Decimal Form: Step-by-Step

Q: Why does dividing by 10 move the decimal point left?

Dividing by 10 makes numbers 10 times smaller! When you move the decimal point one place left, you're showing that the number is now in the next smaller place value position.

Q: Is 0.30 the same as 0.3?

Yes! Trailing zeros after the decimal point don't change the value. Both 0.30 and 0.3 represent exactly three tenths.

Q: What if the denominator isn't 10, 100, or 1000?

Use long division! Divide the numerator by the denominator. For example, $ \frac{1}{4} $ = 1 ÷ 4 = 0.25.

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

Count the zeros in the denominator! 10 has 1 zero = 1 decimal place, 100 has 2 zeros = 2 decimal places, and so on.

Q: Can I just write 3/10 as my final answer?

If the question asks for decimal form, you must convert to 0.3. But if it just asks to solve or simplify, the fraction form might be acceptable!

Fraction to Decimal with Place Value

Convert $\frac{3}{10}$ into decimal form:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's change the fraction to a decimal.

00:08 If the bottom number is 10, the top part becomes the decimal.

00:14 Moving the decimal point left by one, divides by 10.

00:19 And that's how we find our answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert $\frac{3}{10}$ into decimal form:

Step-by-step solution

Let's write the simple fraction as a decimal fraction:

$3.0$

Given that the fraction divides by 10, we move the decimal point one place to the left:

$.30$

We add a zero before the decimal point as follows:

$0.30=0.3$

Final Answer

0.3

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator to convert fractions to decimals
Technique: For tenths, move decimal point left: 3 ÷ 10 = 0.3
Check: Multiply back: 0.3 × 10 = 3, so $\frac{3}{10}$ = 0.3 ✓

Common Mistakes

Avoid these frequent errors

Confusing the fraction with the decimal position
Don't think $\frac{3}{10}$ equals 0.03 because there's a 3! This misunderstands place value and gives the wrong decimal. Always remember that 3 ÷ 10 means 3 tenths, which is 0.3 in the tenths place.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why does dividing by 10 move the decimal point left?

Dividing by 10 makes numbers 10 times smaller! When you move the decimal point one place left, you're showing that the number is now in the next smaller place value position.

Is 0.30 the same as 0.3?

Yes! Trailing zeros after the decimal point don't change the value. Both 0.30 and 0.3 represent exactly three tenths.

What if the denominator isn't 10, 100, or 1000?

Use long division! Divide the numerator by the denominator. For example, $\frac{1}{4}$ = 1 ÷ 4 = 0.25.

How do I know where to put the decimal point?

Count the zeros in the denominator! 10 has 1 zero = 1 decimal place, 100 has 2 zeros = 2 decimal places, and so on.

Can I just write 3/10 as my final answer?

If the question asks for decimal form, you must convert to 0.3. But if it just asks to solve or simplify, the fraction form might be acceptable!

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