Converting 0.012 to Fraction Form: Decimal Transformation Exercise

Q: How do I remember which power of 10 to use in the denominator?

Count the decimal places! One place = 10, two places = 100, three places = 1000. For 0.012, there are three decimal places, so use 1000 in the denominator.

Q: Why can't I just write 12/100 since I see the number 12?

Because $ \frac{12}{100} = 0.12 $, not 0.012! The position of the decimal point matters. The third decimal place means thousandths, so you need 1000 in the denominator.

Q: Do I need to simplify the fraction 12/1000?

Yes, you should! Both 12 and 1000 are divisible by 4, so $ \frac{12}{1000} = \frac{3}{250} $. Always simplify to lowest terms when possible.

Q: How can I double-check my answer is correct?

Divide the numerator by the denominator: $ 12 ÷ 1000 = 0.012 $. If this matches your original decimal, you're right!

Decimal to Fraction with Thousandths Place

Convert into fraction form:

$0.012=$

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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 to the appropriate division

00:09 We'll place the number in the numerator, and the last digit position in the denominator

00:14 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:

$0.012=$

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:

$\frac{0012}{1000}$

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

$\frac{12}{1000}$

Final Answer

$\frac{12}{1000}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Count digits after decimal to determine denominator power
Technique: Three decimal places means denominator is 1000, so 0.012 = 12/1000
Check: Divide 12 ÷ 1000 = 0.012 to verify your fraction ✓

Common Mistakes

Avoid these frequent errors

Miscounting decimal places and using wrong denominator
Don't count the zero as a decimal place or use 100 instead of 1000 = $\frac{12}{100} = 0.12$ ! This gives a completely different value that's 10 times larger. Always count only the digits after the decimal point to find the correct power of 10.

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 remember which power of 10 to use in the denominator?

Count the decimal places! One place = 10, two places = 100, three places = 1000. For 0.012, there are three decimal places, so use 1000 in the denominator.

Why can't I just write 12/100 since I see the number 12?

Because $\frac{12}{100} = 0.12$ , not 0.012! The position of the decimal point matters. The third decimal place means thousandths, so you need 1000 in the denominator.

Do I need to simplify the fraction 12/1000?

Yes, you should! Both 12 and 1000 are divisible by 4, so $\frac{12}{1000} = \frac{3}{250}$ . Always simplify to lowest terms when possible.

What if there are zeros at the beginning like 0.012?

The leading zero before the decimal doesn't count as a decimal place. Only count digits after the decimal point: 0.012 has three decimal places (0, 1, 2).

How can I double-check my answer is correct?

Divide the numerator by the denominator: $12 ÷ 1000 = 0.012$ . If this matches your original decimal, you're right!

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