Short Answer Type
where p and q are integers and q ≠ 0?
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.
Are the following statements true or false? Give reasons for your answers.
(i) Every whole number is a natural number.
(ii) Every integer is a rational number.
(iii) Every rational number is an integer.
(i) False, because zero is a whole number but not a natural number.
(ii) True, because every integer m can be expressed in the form 
and so it is a rational number.
(iii) False, because 
is a rational number but not an integer.
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