Question

What is 30% of 24?

Answer 1

Hint: To find the value of 30% of 24, we have to express this in the mathematical form by changing ‘of’ to a multiplication symbol. Then, we have to convert 30% into its number form by dividing 30 by 100. Then, we have to simplify the result.

Complete step by step solution:
We have to find the value of 30% of 24. Let us first express this in the mathematical form by changing ‘of’ to a multiplication symbol.
$\Rightarrow 30\%\times 24$
Now, we have to convert 30% into its number form. We know that a percentage is converted into its number form by dividing it by 100. Therefore, we have to divide 30 by 100.
$\Rightarrow \dfrac{30}{100}\times 24$
Now, we have to cancel a 0 from 100 in the denominator and 30 in the numerator.
$\Rightarrow \dfrac{3\require{cancel}\cancel{0}}{10\require{cancel}\cancel{0}}\times 24$
We can write the result of the above simplification as
$\Rightarrow \dfrac{3}{10}\times 24$
We have to cancel the common factor 2.
\[\Rightarrow \dfrac{3}{{{\require{cancel}\cancel{10}}^{5}}}\times {{\require{cancel}\cancel{24}}^{12}}\]
We can write the result of the above simplification as
\[\Rightarrow \dfrac{3}{5}\times 12\]
Now, let us multiply 3 and 12.
\[\Rightarrow \dfrac{36}{5}\]
Now, we have to divide 36 by 5.
\[\Rightarrow 7.2\]

Therefore, 30% of 24 is 7.2.

Note: Students must know how to convert a number into its percentage form and vise-versa. The former is done by multiplying the number 100 times. To simplify a result, we have to first cancel the zeroes in the unit place if both the numerator and denominator have one or more. Then, we have to further simplify by cancelling the common factors. If the result is in fractions, it is compulsory to convert the fraction into its decimal form.