Convert Decimal 0.01: Finding All Equivalent Forms

Q: How do I know what number to put in the denominator?

Count the decimal places after the decimal point! One place = 10, two places = 100, three places = 1000. Since 0.01 has two decimal places, the denominator is 100.

Q: Why do we remove the zeros from the numerator?

Leading zeros don't change a number's value. $ \frac{001}{100} $ and $ \frac{1}{100} $ are exactly the same, just like 001 and 1 mean the same thing!

Q: What if the decimal has more digits, like 0.123?

Same rule applies! Count the decimal places: 0.123 has three places, so write it as $ \frac{123}{1000} $. The numerator is all the digits after the decimal point.

Q: How can I check if my fraction is correct?

Simply divide the numerator by the denominator! For $ \frac{1}{100} $, calculate 1 ÷ 100 = 0.01. If you get your original decimal, you're right!

Q: Do I need to simplify the fraction?

For 0.01, $ \frac{1}{100} $ is already in simplest form since 1 and 100 share no common factors other than 1. Always check if you can simplify, but this one's already done!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's start by converting the number to a decimal fraction.

00:08 Next, match the digits' positions after the decimal point with the correct division.

00:13 Place these digits in the top part, called the numerator, and use the division you found for the bottom part, or the denominator.

00:20 And that's how we find the solution to this question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Convert into fraction form:

$0.01=$

2

Step-by-step solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{001}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{1}{100}$

3

Final Answer

$\frac{1}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Two decimal places means denominator is 100
Technique: Write 0.01 as $\frac{1}{100}$ by counting decimal places
Check: Divide 1 ÷ 100 = 0.01 to verify conversion ✓

Common Mistakes

Avoid these frequent errors

Confusing decimal places with denominator values
Don't write 0.01 as $\frac{1}{10}$ = 0.1! This happens when you only count one decimal place instead of two. Always count all decimal places carefully: 0.01 has two places, so the denominator is 100.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{1}{100}=$

FAQ

Everything you need to know about this question

How do I know what number to put in the denominator?

+

Count the decimal places after the decimal point! One place = 10, two places = 100, three places = 1000. Since 0.01 has two decimal places, the denominator is 100.

Why do we remove the zeros from the numerator?

+

Leading zeros don't change a number's value. $\frac{001}{100}$ and $\frac{1}{100}$ are exactly the same, just like 001 and 1 mean the same thing!

What if the decimal has more digits, like 0.123?

+

Same rule applies! Count the decimal places: 0.123 has three places, so write it as $\frac{123}{1000}$ . The numerator is all the digits after the decimal point.

How can I check if my fraction is correct?

+

Simply divide the numerator by the denominator! For $\frac{1}{100}$ , calculate 1 ÷ 100 = 0.01. If you get your original decimal, you're right!

Do I need to simplify the fraction?

+

For 0.01, $\frac{1}{100}$ is already in simplest form since 1 and 100 share no common factors other than 1. Always check if you can simplify, but this one's already done!

🌟 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

Convert Decimal 0.01: Finding All Equivalent Forms

Decimal to Fraction with Place Value

❤️ Continue Your Math Journey!