Question

Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. ... Conversely, irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern.

Answer 1

The rational number includes only those decimals, which are finite and repeating.

Explanation:

Rational Number is defined as the number which can be written in a ratio of two integers in the form a/b where a,b are integers and b≠ 0, while an irrational number is a number which cannot be expressed in a ratio of two integers (that is it cannot be expressed as fraction in the form a/b).

The rational numbers are numbers whose decimal expansion are finite and repeating, while irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern e.g. π.