Question

How do you write $0.25$ as percentage?

Answer 1

Hint:
In the question they have asked to write $0.25$ as a percentage. We know that the decimals and the percentages are interchangeable. So, in the problem we have the percentage but in the different form. To convert the given decimal value as the percentage first we need to convert the given decimal into fraction. First, we will observe the number of digits is there after the decimal point and we will multiply and divide the given decimal value with ${{10}^{n}}$ where $n$ is the number of digits after the decimal point. After converting the given decimal value into fraction, we will simply put a percentage symbol and remove the $100$ which is in denominator as we know that fractions which are having $100$ in the denominator are another form of percentage.

Complete step by step solution:
Given number is $0.25$.
We can observe that there are two digits after the decimal value which are $2$, $5$.
So, we can write the value of $n$ as $n=2$.
Converting the given decimal value into fraction by multiplying and dividing it with ${{10}^{n}}={{10}^{2}}=100$, then we will get
$0.25=0.25\times \dfrac{100}{100}$
Simplifying the above equation then we will get
$\Rightarrow 0.25=\dfrac{25}{100}$
Removing the $100$ which is in denominator and placing the percentage symbol in the above equation, then we will get
$\Rightarrow 0.25=25\%$

Hence, we can write $0.25$ as $25\%$ in percentage form.

Note:
We can also use another method to solve the above problem. First, we will multiply the given value with one and then we will replace the multiplied one with $100\%$ and solve the equation to get the result.
Given value $0.25$
Multiplying it with one then we will get
$0.25=0.25\times 1$
Replacing the one with $100\%$ in the above equation, then we will get
$
 0.25=0.25\times 100\% \\
 \Rightarrow 0.25=25\% \\
$
From both the methods we got the same result.