Question

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

Answer 1

(i) False, as $\frac{1}{2},\frac{1}{3}$

(ii) True.

(iii) False, as $\frac{1}{2},\frac{1}{3}$

(iv) True.

(v) False, $\because$ negative natural numbers are not whole numbers.

(vi) False, $\because$ proper fraction are not whole numbers.,