Number Systems — Question 4

(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,.......∞