Mathematics/Representation Of Rational Number As A Decimal

Representation of Rational Number as a Decimal

About:

Rational numbers can be represented in fractions as well as in decimal forms. They can easily be represented as decimals by just dividing numerator 'p' by denominator 'q' (as rational numbers is in fractional form is p/q). A rational number can be expressed as a terminating or non-terminating, recurring decimal.

Demonstration

(i) 15/2 = 7.5,

2/16 = 0.125,

8 = 8.0, etc., are rational numbers which are terminating decimals.

(ii) 7/9 = 0.777777……. = 0.7,

4/3 = 1.33333….. = 1.3 ̇,

1/6 = 0.166666 ….. = 0.16 ̇

9/11 = 0.818181…… = 0.8 ̇1 ̇ etc., are rational numbers which are non-terminating, recurring decimals.