Question

How do you change 0.025 into a percent?

Answer 1

Hint: First understand the definition of percentage. To write the percentage form of any decimal number, first convert the decimal number into fractional number by removing the decimal point. Now, multiply this fractional number obtained with 100 to get the required percentage.

Complete step-by-step answer:
Here, we have been provided with a decimal number 0.025 and we are asked to write it as a percent. But first let us know about ‘percentage’ and how to find it.
In Mathematics, a percentage is a number or ratio expressed as a fraction of 100. A percentage is a dimensionless number, i.e., a pure number and it has no unit of measurement. It is denoted by using the percent sign, that is %. Let us take some examples: - if we say 5% that means 5 parts out of 100 parts of anything. In terms of fraction it is denoted as \[5%=\dfrac{5}{100}\].
Now, if we have to convert any fraction into percent then we multiply the fraction with 100. If we are provided with any decimal number then we convert it into a fraction first and then multiply. So, let us come to the question.
We have the decimal number 0.025. So, converting it into the fractional form, we get,
\[\Rightarrow 0.025=\dfrac{25}{1000}\]
Now, multiplying with 100 in the R.H.S., we get,
\[\Rightarrow 0.025\] as a percent = \[\dfrac{25}{1000}\times 100%\]
 \[\Rightarrow 0.025\] as a percent = \[\dfrac{25}{10}=2.5%\]
Hence, 0.025 can be represented as 2.5% in present form.

Note: One must remember how to convert a decimal number into a fraction. Now, it may be given to us a number in percentage form and we would be asked to write it as a fraction or decimal. In such cases we will follow the reverse process and divide the given percentage with 100 to get the answer. Remember the basic definition of ‘percentage’.