Convert 0.04 to Its Equivalent Forms: Decimal Practice

Q: How do I know whether to use 10, 100, or 1000 as the denominator?

Count the decimal places! One place = tenths (÷10), two places = hundredths (÷100), three places = thousandths (÷1000). Since 0.04 has two decimal places, use 100.

Q: Why can't I just write 0.04 as 4/10?

Because $ \frac{4}{10} = 0.4 $, not 0.04! You're missing a decimal place. The zero in 0.04 tells us it's in the hundredths place, so we need $ \frac{4}{100} $.

Q: Do I need to simplify the fraction 4/100?

While $ \frac{4}{100} $ is correct, you can simplify it! Divide both numerator and denominator by 4 to get $ \frac{1}{25} $. Both forms are equivalent.

Q: What if there are zeros at the end of the decimal?

Trailing zeros after the decimal point do matter for place value! 0.04 and 0.040 represent the same value, but 0.040 would be written as $ \frac{40}{1000} $ before simplifying.

Q: How can I double-check my answer?

Convert your fraction back to a decimal by dividing! $ \frac{4}{100} = 4 ÷ 100 = 0.04 $ ✓. If you get the original decimal, your answer is correct.

Decimal to Fraction Conversion with Hundredths

Convert into fraction form:

$0.04=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's convert this to a decimal fraction.

00:09 First, match the digits after the decimal point, to the right division.

00:14 Put the digits in the top part, the numerator, and the division on the bottom, the denominator.

00:21 And that's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert into fraction form:

$0.04=$

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:

$\frac{004}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{4}{100}$

Final Answer

$\frac{4}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Count decimal places to determine denominator power of 10
Technique: Two decimal places means divide by 100: 0.04 = 4/100
Check: Verify by division: 4 ÷ 100 = 0.04 ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on decimal places
Don't use 10 as denominator for 0.04 = 4/10 = 0.4! This ignores the second decimal place. The decimal 0.04 has TWO places after the decimal point, so it represents hundredths. Always use 100 as denominator for two decimal places.

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 whether to use 10, 100, or 1000 as the denominator?

Count the decimal places! One place = tenths (÷10), two places = hundredths (÷100), three places = thousandths (÷1000). Since 0.04 has two decimal places, use 100.

Why can't I just write 0.04 as 4/10?

Because $\frac{4}{10} = 0.4$ , not 0.04! You're missing a decimal place. The zero in 0.04 tells us it's in the hundredths place, so we need $\frac{4}{100}$ .

Do I need to simplify the fraction 4/100?

While $\frac{4}{100}$ is correct, you can simplify it! Divide both numerator and denominator by 4 to get $\frac{1}{25}$ . Both forms are equivalent.

What if there are zeros at the end of the decimal?

Trailing zeros after the decimal point do matter for place value! 0.04 and 0.040 represent the same value, but 0.040 would be written as $\frac{40}{1000}$ before simplifying.

How can I double-check my answer?

Convert your fraction back to a decimal by dividing! $\frac{4}{100} = 4 ÷ 100 = 0.04$ ✓. If you get the original decimal, your answer is correct.

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