Question

How do you write \[0.006\] as a percent?

Answer 1

Hint: To convert decimal form to percent first write in fraction form then just multiply with it \[100\].
To write this in fraction form just count the number of digits after the decimal and divide the number by \[10\] raised to power \[n\] where \[n\] is the number of digits after the decimal. Now to convert this fractional form to percentage just multiply it with \[100\] and we will get our answer.

Complete step by step solution:
We are given a fraction and that is \[0.006\]
Now we first write this in fraction form, so to convert this-
Since here in \[0.006\] there are \[3\] digits after the decimal so divide this number with \[{{10}^{3}}\] and remove the decimal
\[\Rightarrow 0.006=\dfrac{6}{1000}\]
Now we have fraction form and that is \[\dfrac{6}{1000}\]
Now converting this to fraction, multiply it with \[100\]
\[\Rightarrow \dfrac{6}{1000}\times 100\]
Here on dividing, the two zeros of numerator will cancel out with two zero zeros of denominator and only one zero left in denominator
\[\Rightarrow \dfrac{6}{10}%\]
Now this is percentage but just written in fraction now we need to convert it in decimal form.

So, to convert this just divide this \[6\] by \[10\] and place the decimal before one digit.
\[\Rightarrow 0.6%\]

Note:
When we have to solve these types of questions one way is to simply multiply the decimal part with \[100\] and shift the decimal towards the right side by two digits as on multiplying the number will become large. The decimal or fraction value is the same only they both are written in different forms.