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.
$\Rightarrow 2\%\times 40$
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.
$\Rightarrow \dfrac{2}{100}\times 40$
Now, we have to simplify the above result. Let us cancel a zero from100 and 40.
$\Rightarrow \dfrac{2}{10\require{cancel}\cancel{0}}\times 4\require{cancel}\cancel{0}$
We can write the result of the above simplification as
$\Rightarrow \dfrac{2}{10}\times 4$
Now, let us cancel the common factor 2 from the denominator and the numerator.
$\Rightarrow \dfrac{{{\require{cancel}\cancel{2}}^{1}}}{{{\require{cancel}\cancel{10}}^{5}}}\times 4$
We can write the result of the above simplification as
$\begin{align}
  & \Rightarrow \dfrac{1}{5}\times 4 \\
 & =\dfrac{4}{5} \\
\end{align}$
We have to convert $\dfrac{4}{5}$ into decimals.
$\Rightarrow \dfrac{4}{5}=0.8$

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.