Question

What is 0.002 as a fraction?

Answer 1

Hint: In this problem, we have to write the decimal form in fraction form. We can first write the given question in the fraction form as we can write 1 in the denominator. We can then multiply the fraction, both numerator and denominator by 1000 or we know that 0.002 has 3 decimal places and therefore can be written as a fraction with denominator as a power or 1000 with 3 zeros, we can then simplify the step to get the fraction form.

Complete step by step solution:
We know that the given decimal to be converted into fraction is 0.002
Now we can write it in fraction form, as we can write the denominator as 1, we get
\[\Rightarrow \dfrac{0.002}{1}\]
Now we can multiply 10 on both the numerator and the denominator.
\[\Rightarrow \dfrac{0.002}{1}\times \dfrac{1000}{1000}\]
Now we can multiply the above step in both the numerator and the denominator, we get
\[\Rightarrow \dfrac{2}{1000}\]
We can now further simplify the above step, we get
\[\Rightarrow \dfrac{1}{500}\]

Therefore, the fraction form of 0.002 is \[\dfrac{1}{500}\].

Note: Students make mistakes while moving the decimal points to left or write, which should be concentrated. We should know how to deal with decimal points to solve these types of problems. We should know which number should be multiplied to the given decimal as we have a decimal place in one point we can multiply the given number to ten, if we have decimal in two points, then we can multiply 100 for the given number.