State whether the following statements are true or false. Give reasons for your answer. (i) Every natural number is a whole number. (ii) Every whole number is a natural number. (iii) Every integer is a whole number. (v) Every rational number is an integer. (vi) Every rational number is a whole number.

Answer

(i)True
(ii) False; `0` is a whole number which is not a natural number.
(iii) False; negative integers are not whole numbers.
(iv) True; every integer can be written in the form `(p)/(1)` where p is integers.
(v) False; fractional numbers are not integers. e.g. `6/7`
(vi) False; fractional numbers are not whole numbers. e.g. `-5/3`