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, since the collection of whole numbers contains all natural numbers

(ii) False, as integers may be negative or positive but whole numbers are always positive.


(iii) False, as rational numbers may be fractional but whole numbers are not fractional.


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