Find two rational numbers between :

(i) 2 and 3

(ii) $\dfrac{1}{3} \text{ and } \dfrac{2}{5}$

(iii) $\dfrac{3}{4} \text{ and } 1\dfrac{1}{5}$

(iv) –2 and 1

Find three rational numbers between :

(i) 4 and 5

(ii) $\dfrac{1}{2} \text{ and }\dfrac{3}{5}$

(iii) –1 and 1

(iv) $2\dfrac{1}{3} \text{ and }3\dfrac{2}{3}$

(v) $-\dfrac{1}{2} \text{ and }\dfrac{1}{3}$

(vi) $-\dfrac{1}{3} \text{ and }\dfrac{1}{4}$

Find six rational numbers between 3 and 4.

Classify the rational and irrational numbers from the following :

(i) 5

(ii) $\dfrac{9}{14}$

(iii) $\sqrt{3}$

(iv) π

(v) 3.1416

(vi) $\sqrt{4}$

(vii) $-\sqrt{5}$

(viii) $\sqrt[3]{8}$

(ix) $\sqrt[3]{3}$

(x) $2\sqrt{6}$

(xi) $0.\overline{36}$

(xii) 0.202202220…

(xiii) $\dfrac{2}{\sqrt{3}}$

(xiv) $\dfrac{22}{7}$