Question

What is 2% of 40?

Answer 1

Hint: To find the value of 2% of 40, we have to write its mathematical form by replacing ‘of’ by multiplication sign (x). Then, we have to convert 2% into its number form by dividing 2 by 100. Then, we have to simplify.

Complete step by step solution:
We have to find the value of 2% of 40. Firstly, we have to write the given statement mathematically.
$\Rightarrow 2\mathrm{\%}\times 40$
Now we have to convert 2% into its number form. We know that to convert a percentage into its number form, we have to divide it by 100. Here, we have to divide 2 by 100.
$\Rightarrow {\displaystyle \frac{2}{100}}\times 40$
Now, we have to simplify the above result. Let us cancel a zero from100 and 40.
$\Rightarrow {\displaystyle \frac{2}{10\text{cancel}0}}\times 4\text{cancel}0$
We can write the result of the above simplification as
$\Rightarrow {\displaystyle \frac{2}{10}}\times 4$
Now, let us cancel the common factor 2 from the denominator and the numerator.
$\Rightarrow {\displaystyle \frac{{\text{cancel}2}^1}{{\text{cancel}10}^5}}\times 4$
We can write the result of the above simplification as
$\begin{array}{rl}& \Rightarrow {\displaystyle \frac{1}{5}}\times 4\\ & ={\displaystyle \frac{4}{5}}\end{array}$
We have to convert ${\displaystyle \frac{4}{5}}$ into decimals.
$\Rightarrow {\displaystyle \frac{4}{5}}=0.8$

Therefore, the value of 2% of 40 is 0.8.

Note: Students must know that in percentage, ‘of’ means multiply. Percentage means ‘out of 100’. It is a number or ratio that can be expressed as a fraction of 100. They must know to convert a percentage into its number and a number into its percentage form. The latter is done by multiplying the number by 100. They must also know to find the decimal form of a fraction.