Question

Express the following as decimal fractions: $0.25% $

Answer 1

Hint: We can express the percentage as the fraction with denominator 100. Then we can simplify the fraction into a decimal by division. This division can be done changing the position of decimal places in the numerator of the fraction.

Complete step by step answer:

We have the percentage $0.25% $
Let us take $x = 0.25% $
We can write it as a fraction of 100.
$ \Rightarrow x = \dfrac{{0.25}}{{100}}$
We know that division by 100 on a decimal will make the decimal point to jump 2 places to the left.
$ \Rightarrow x = 0.0025$
Therefore, the decimal fraction of $0.25% $ is 0.0025

Note: Percentages are used to express a quantity compared to parts of 100. To convert a fraction into a percentage, we can just multiply it with \[100% \]. We usually express a quantity in percentages for comparing. Decimals are the numbers that have integer part and fractional parts separated by a decimal point. To multiply a decimal with powers of 10, we just need to move the decimal places equal to the number of zeros towards the right of the decimal point. For division with powers of 10, we can move the decimal point towards the left.