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 four rational numbers between 4 and 4.5.

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) $\dfrac{22}{7}$

Separate the rationals and irrationals from among the following numbers :

(i) -8

(ii) $\sqrt{25}$

(iii) $\dfrac{-3}{5}$

(iv) $\sqrt{8}$

(v) 0

(vi) π

(vii) $\sqrt[3]{5}$

(viii) $2.\overline{4}$

(ix) $-\sqrt{3}$