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. While, 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.

{π,3., 5.636363 …, 2.040040004 …, , 1.535335333 …, 3.121221222 …, are irrational}

i. rational ii. rational

iii. irrational iv. rational

v. irrational vi. irrational

vii. irrational viii. irrational

ix. irrational x. irrational