A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non - zero denominator q.

(ii) irrational numbers

An irrational number is a number that cannot be expressed as a fraction p/q for any integers p and q. Irrational numbers have decimal expansions that neither terminate nor become periodic

(iii) real numbers.

Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers.