Question

How do you express \[79.2\% \] as a decimal \[?\]

Answer 1

Hint: This question involves the operation of addition/ subtraction/ multiplication/ division. We need to know how to convert percentages into fraction terms. Also, we need to know how to convert fraction terms into decimal terms. Also, we need to know how to convert decimal numbers into whole numbers. To solve these types of questions we need to know the definition of percentage.

Complete step by step solution:
In this question, we have to convert \[79.2\% \] it into a decimal number. For solving the given question we need to know the definition of percentage. Percentage means we have how much quantity out of hundred. So, in this question we have \[79.2\% \] . Here \[79.2\% \] can be converted into fraction term as follows,
 \[79.2\% = \dfrac{{79.2}}{{100}} \to \left( 1 \right)\]
For solving the above equation we have to convert the numerator in decimal to the whole number. \[79.2\] Can be converted into the whole number by multiplying \[79.2\] with \[10\] . (Here, if we have two-digit after the decimal point we have to multiply \[100\] ). So, the equation \[\left( 1 \right)\] becomes
 \[
  \left( 1 \right) \to 79.2\% = \dfrac{{79.2}}{{100}} \\
  79.2\% = \dfrac{{79.2}}{{100}} \times \dfrac{{10}}{{10}} = \dfrac{{792}}{{1000}} \;
 \]
This is fraction form.
So, the correct answer is “$\dfrac{{792}}{{1000}}$”.

 \[\dfrac{{792}}{{1000}} = 0.792\]
So, the final answer is,
The decimal form of \[79.2\% \] is \[0.792\] (or) \[79.2\% = 0.792\] .
So, the correct answer is “0.792”.

Note: This type of question involves the arithmetic operation of addition/ subtraction/ multiplication/ division. Remember that in this type of question first, we would convert the percentage term into fraction term, after that we would convert the fraction term into the decimal term. Note that we would have at least three numbers after the point symbol. We can use the normal division method to convert the fraction term into the decimal term.