Question

How do you convert 83% to a decimal?

Answer 1

Hint: We are given to convert 83% to a decimal. So, first of all we have to convert the given percentage into fraction and then we have to convert it into decimal. As we all know that percent means ‘per 100’. So, for converting as we all know that percent means ‘per 100’. So, for converting we have to divide it with 100. After that we have to convert it into decimal.

Complete step-by-step answer:
From the given question we are given to convert \[83\%\] to a decimal.
Let us convert \[83\%\] to a decimal.
Let us consider
\[a=83\%...........(1)\]
As we all know that percent means ‘per 100’. So, for converting the equation (1) to a decimal form we have to divide equation (1) with 100.
Let us divide equation (1) with 100
\[a=\dfrac{83}{100}\]
So, let us consider
\[a=\dfrac{83}{100}...........\left( 2 \right)\]
Now, we have to convert the fraction in equation (2) to decimal.
We can observe that in equation (2) there is 100 as a denominator, so it is easy for us to simply.
If a denominator contains any 10 multiple we can simply convert into decimal by counting the number of zeros in the denominator and just move the decimal point 2 places to the left.
By moving decimal point 2 places to the left, we get
\[a=0.83\]
Let us consider
\[a=0.83..........\left( 3 \right)\]
So therefore the decimal of \[83\%\] is\[0.83\].

Note: Students should be aware of converting percentage to decimal concept. Note that if the percent value is an integer, the '.' is at the right of the rightmost digit. Students can also do the division by cancellation method or by doing normal division. Students should practise more problems for perfection in this concept.