Question

Using multiplication property, find $ 5\% $ of $ 180 $ .

Answer 1

Hint: Percent as fraction= Percent divided by 100
So by using some basic properties and by converting \[5\% \]in accordance with the above-stated equation and by applying it in the given question, we can solve $ 5\% \;of\;180 $ using the property of multiplication.

Complete step by step answer:
Given
 $ 5\% \;of\;180........................\left( i \right) $
Now by using the property: Percent as fraction= Percent divided by 100, we can write $ 5\% $ as follows;
 $ 5\% = \dfrac{5}{{100}}........................\left( {ii} \right) $
Now in the question it’s given as $ 5\% \;of\;180 $ such that the word ‘of’ with percent here means to ‘multiply’ or ‘times.’
Now let the answer we have to get be $ p $ .
So by considering all the available information and the values in (i) and (ii), we can write:
 $
  \;\;\;\;n = \dfrac{5}{{100}} \times 180 \\
   \Rightarrow n = \dfrac{{5 \times 180}}{{100}} \\
   \Rightarrow n = \dfrac{{900}}{{100}} \\
   \Rightarrow n = 9..............................\left( {iii} \right) \\
  $
Therefore by using the property of multiplication we can write $ 5\% \;of\;180 = 9 $ .
Additional Information:
Considering the possibility of converting percentages to fractions and fractions to percentages it’s observed that the conversion process is much easier and accurate while converting percentages to fractions rather than fractions to percentages since many times the fractions do not have an exact decimal. So while approaching a question it’s wise to convert percentages to fractions rather than fractions to percentages.

Note:
The literal meaning of the word ‘percent’ is out of 100.
Basis point: It’s a widely used term in the financial markets. It simply means one-hundredth of a percentage point.
Similarly, the percentile is a term that is used to describe the cumulative percentage and has a wider application in the field of statistics.
Percentages were introduced for making the calculation much easier and understandable.