Even a set of integer is inadequate, because it does not include rational numbers like, 3/4, -8/9 etc.

Rational numbers are of the form x / y  (p/q) where x (p) and y (q) are integers and second condition is that y (q) must be a non-zero otherwise that number would be undefined. For example, number 0/5 is a rational number but its not the same for the number 5/0 as it is an undefined number.

The set of rational numbers are denoted Q and expressed as


Q = (... -2/5, -1/4, 100/99, 15/7...)

In a set of rational numbers decimal part may be terminating or not terminating or/and repeating. Numbers whose decimals are non terminating and non repeating are included in a set of numbers called Irrational Numbers.

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