Convert 0.025 to Fraction: Decimal Transformation Exercise

Q: Why is the denominator 1000 and not 100?

Count all digits after the decimal point: 0.025 has three places (0, 2, 5). Three decimal places means thousandths, so the denominator is $ 1000 $.

Q: What do I do with the leading zero in 025?

The leading zero doesn't count! Just write $ \frac{25}{1000} $ instead of $ \frac{025}{1000} $. Leading zeros in the numerator can be removed.

Q: Can I simplify this fraction further?

Yes! $ \frac{25}{1000} $ can be simplified by dividing both numerator and denominator by their greatest common factor, which is 25: $ \frac{25}{1000} = \frac{1}{40} $.

Q: How do I remember which denominator to use?

Easy pattern: 1 decimal place = 10, 2 places = 100, 3 places = 1000. Each place adds another zero to 10!

Decimal to Fraction with Thousandths Place

Convert into fraction form:

$0.025=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to fraction

00:03 First, we'll match the digit positions with the appropriate division

00:06 Add 0 to the fraction

00:10 Place the digits after the decimal point in the numerator

00:13 And the last digit position in the denominator

00:17 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

Convert into fraction form:

$0.025=$

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 three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

$\frac{0025}{1000}$

We'll then proceed to remove the unnecessary zeros and obtain the following:

$\frac{25}{1000}$

Final Answer

$\frac{25}{1000}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Three decimal places means denominator is 1000
Technique: Write 0.025 as 25/1000 by counting decimal places
Check: Divide 25 ÷ 1000 = 0.025 to verify conversion ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on decimal places
Don't count 0.025 as having 2 decimal places and use 100 as denominator = 25/100 = 0.25! This ignores the zero after the decimal point. Always count all digits after the decimal: 0.025 has 3 places, so use 1000.

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

Why is the denominator 1000 and not 100?

Count all digits after the decimal point: 0.025 has three places (0, 2, 5). Three decimal places means thousandths, so the denominator is $1000$ .

What do I do with the leading zero in 025?

The leading zero doesn't count! Just write $\frac{25}{1000}$ instead of $\frac{025}{1000}$ . Leading zeros in the numerator can be removed.

Can I simplify this fraction further?

Yes! $\frac{25}{1000}$ can be simplified by dividing both numerator and denominator by their greatest common factor, which is 25: $\frac{25}{1000} = \frac{1}{40}$ .

How do I remember which denominator to use?

Easy pattern: 1 decimal place = 10, 2 places = 100, 3 places = 1000. Each place adds another zero to 10!

What if I get confused about decimal place counting?

Start from the decimal point and count each digit moving right: 0.0 (1st place) 2 (2nd place) 5 (3rd place). Three places = thousandths = 1000.

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