Converting the Fraction 13/100 to Decimal Form

Q: Why does dividing by 100 move the decimal two places left?

Each zero in the denominator represents one decimal place. Since 100 has two zeros, we move the decimal two places left. Think of it as: 100 = 10 × 10, so we divide by 10 twice!

Q: What if there's no decimal point shown in the numerator?

Every whole number has an invisible decimal point at the end! For 13, it's really 13.0, so moving two places left gives us 0.13.

Q: Do I need to keep the trailing zero in 0.130?

No! Trailing zeros after the decimal point don't change the value. $ 0.130 = 0.13 $, so you can drop the final zero.

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

Think "smaller number, smaller decimal". Since $ \frac{13}{100} $ is less than 13, the decimal 0.13 should be smaller than 13 too!

Q: What about fractions like 7/1000?

Same pattern! 1000 has three zeros, so move the decimal three places left: $ \frac{7}{1000} = 0.007 $. Add zeros as needed!

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{13}{100}=$

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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, take the numerator as a number

00:06 According to the denominator, move the decimal point

00:10 When the denominator equals 100, move the decimal point twice to the left

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

Write the following fraction as a decimal:

$\frac{13}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$13.0$

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

$.130$

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

$0.130=0.13$

Final Answer

0.13

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with denominators of 100 have two decimal places
Technique: Move decimal point two places left: 13 → 0.13
Check: Verify 0.13 × 100 = 13, so $\frac{13}{100} = 0.13$ ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point the wrong direction or number of places
Don't move the decimal point right or only one place = wrong answer like 1.3 or 130! This happens when students confuse multiplication with division. Always remember: dividing by 100 means moving the decimal point two places LEFT.

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 100 move the decimal two places left?

Each zero in the denominator represents one decimal place. Since 100 has two zeros, we move the decimal two places left. Think of it as: 100 = 10 × 10, so we divide by 10 twice!

What if there's no decimal point shown in the numerator?

Every whole number has an invisible decimal point at the end! For 13, it's really 13.0, so moving two places left gives us 0.13.

Do I need to keep the trailing zero in 0.130?

No! Trailing zeros after the decimal point don't change the value. $0.130 = 0.13$ , so you can drop the final zero.

How do I remember which direction to move the decimal?

Think "smaller number, smaller decimal". Since $\frac{13}{100}$ is less than 13, the decimal 0.13 should be smaller than 13 too!

What about fractions like 7/1000?

Same pattern! 1000 has three zeros, so move the decimal three places left: $\frac{7}{1000} = 0.007$ . Add zeros as needed!

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