Question

What is \[0.02\%\] written as decimal form?

Answer 1

Hint: In the given question firstly, we need to find the percent of some given number 0.02 and then we need to write the final answer in decimal form. Also, we need to simplify our answer to the simplest. Percent in terms of hundreds we need to calculate.

Complete step-by-step solution:
In the given question we need to find the \[0.02\%\] and we know that whenever we have percent sign, we need to divide the number by 100 first in order to remove the percent sign.
So, our task to find \[0.02\%\] gets complete when we divide it as \[\dfrac{0.02\%}{100}=\dfrac{2}{10000}\] .
Therefore, is equal to $\dfrac{2}{10000}$
Now, what we are asked to do is that we need to write the final answer in decimal form. In order to write in decimal form what we do is we write the denominator in powers of 10 and according to the exponent of 10 we put the decimal point from the right side of the number and also, we need to simplify the fraction first and then reduce it to decimal form.
Now, we can clearly see that we can simplify $\dfrac{2}{10000}$ as numerator can divide the denominator but we don’t need to simplify in this case as we have our denominator in powers of 10 and at last in order to write in decimal form, we require this form.
Therefore, the decimal form of \[0.02\%\] is 0.0002.

Note: In these types of questions, we need to read the statement and understand the statement first. As most of the type what we see is that we are given \[0.02\%\]in which we forget to write and remove the percent after dividing by 100.