Converting the Fraction 3/100 to Decimal Form: Step-by-Step

Q: Why does 3/100 equal 0.03 and not 0.3?

Because 100 has two zeros, you move the decimal point two places left. Think of it as: 3.00 becomes 0.03 when divided by 100.

Q: How do I remember which way to move the decimal?

Dividing makes numbers smaller, so move the decimal point left. The number of zeros in the denominator tells you how many places to move.

Q: What if I get confused about place values?

Use the pattern: $ \frac{3}{10} = 0.3 $ (tenths place)$ \frac{3}{100} = 0.03 $ (hundredths place)$ \frac{3}{1000} = 0.003 $ (thousandths place)

Q: Can I just do long division instead?

Absolutely! Long division of 3 ÷ 100 gives the same answer: 0.03. Use whichever method feels more comfortable to you.

Q: How do I check if 0.03 is really correct?

Multiply your decimal answer by the denominator: 0.03 × 100 = 3. Since this equals the original numerator, your answer is correct!

Fraction to Decimal with Place Value

Write the following fraction as a decimal:

$\frac{3}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 In a decimal fraction, we take the numerator as a number

00:06 According to the denominator, we'll move the decimal point

00:10 When the denominator equals 100, we'll move the point two places left

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

Write the following fraction as a decimal:

$\frac{3}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$3.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.030$

We'll add the zero before the decimal point and get:

$0.030=0.03$

Final Answer

0.03

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator to convert any fraction
Technique: For denominators like 100, use place value: 3÷100 = 0.03
Check: Multiply decimal by denominator: 0.03 × 100 = 3 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point wrong direction
Don't move the decimal point right when dividing by 100 = 3.0 instead of 0.03! This makes the number 100 times too big. Always move the decimal point left when dividing by powers of 10.

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 3/100 equal 0.03 and not 0.3?

Because 100 has two zeros, you move the decimal point two places left. Think of it as: 3.00 becomes 0.03 when divided by 100.

How do I remember which way to move the decimal?

Dividing makes numbers smaller, so move the decimal point left. The number of zeros in the denominator tells you how many places to move.

What if I get confused about place values?

Use the pattern:

$\frac{3}{10} = 0.3$ (tenths place)
$\frac{3}{100} = 0.03$ (hundredths place)
$\frac{3}{1000} = 0.003$ (thousandths place)

Can I just do long division instead?

Absolutely! Long division of 3 ÷ 100 gives the same answer: 0.03. Use whichever method feels more comfortable to you.

How do I check if 0.03 is really correct?

Multiply your decimal answer by the denominator: 0.03 × 100 = 3. Since this equals the original numerator, your answer is correct!

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