Question

Which of the following statements are true and which are false? 

(i) Every whole number is a rational number. 

(ii) Every integer is a rational number. 

(iii) 0 is a whole number but it is not a rational number.

Answer 1

(i) Every whole number a can be represented as \(\frac{a}{1}\) 

Therefore, every whole number is a rational number. 

(ii) Every integer a can be represented as \(\frac{a}{1}\) 

Therefore, every integer is a rational number. 

(iii) 0 can be represented as \(\frac{0}{1}\) 

Therefore, 0 is a whole number and a rational number.