Question

How do you write $0.3$ as a percent?

Answer 1

Hint: Here we must know that whenever we are given to find the percent of the decimal term. We need to make it fraction first by removing the decimal first by putting in the denominator the value in the power of ten as required to remove the decimal. Then we need to convert that fraction into a percent by multiplying it by $100$.

Complete step by step solution:
Here we are given to find the percent of the decimal term which is given as $0.3$.
So first we can convert it into a fraction.
So we know that whenever we are given the term in the form of decimal we can convert it into the fraction by taking that term in the form of the numerator and denominator. In the denominator comes the ${10^n}$ where $n$ is the number of digits that are present after the decimal in the numerator.
For example: If we have the term $100.12$ so we can write it as $\dfrac{{10012}}{{100}}$.
Here we have two terms after the decimal in the numerator, so we have put two zeroes with $1$ in the denominator in order to remove the decimal point from the numerator.
So in a similar way, we know that in $0.3$ we have two digits after the decimal in the given decimal. So we will write ${10^1} = 10$ in the denominator and the decimal will be removed from the numerator.
So we can write:
$0.3 = \dfrac{3}{{10}}$
Now we need to convert it into the percent form. So we must know that when we have the fraction, we need to convert it into the percent by multiplying that fraction just by $100$
${\text{percent}} = \dfrac{3}{{10}} \times 100 = 30\% $

Hence we get that $30\% $ is the percent form of the decimal which is given as $0.3$.

Note: Here in these kinds of problems, the student also gets the answer directly by multiplying the decimal term simply by $100$ and gets the same result but firstly we must convert it into the fraction in order to avoid any calculation mistake.