State whether the following statements are true or false. Give reasons for your answers.

(i) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.

(i) True
Reason — Whole numbers are = 0, 1, 2, 3, 4, 5,…….∞
Natural numbers are = 1, 2, 3, 4, 5,……∞
From above we see all natural numbers are whole numbers.

(ii) False
Reason — Integers can be positive as well as negative i.e., integers are = 0, +(-1), +(-2), +(-3), +(-4)……∞ whereas whole number are 0 or positive only i.e., whole numbers are = 0, 1, 2, 3, 4,…….∞

(iii) False,
Reason — Rational numbers are $\dfrac{p}{q}$ = $\dfrac{1}{2}$, $\dfrac{2}{3}$, $\dfrac{1}{4}$, $\dfrac{4}{7}$,…..
Whole numbers are = 0, 1, 2, 3, 4,…….∞