Represent and on the real line.

What are irrational numbers? How do they differ from rational numbers? Give examples.

Classify the following numbers as rational or irrational. Give reasons to support your answer.

(i) (ii) (iii)

(iv) (v) (vi)

(vii) (viii) (ix) 1.232332333…

(x) 3.040040004… (xi) 3.2576

(xii) 2.3565656… (xiii)(xiv)

Represent and on the real line.

Giving reason in each case, show that each of the following numbers is irrational.

(i) (ii) (iii)

(iv) (v) (vi)