Question 4:
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.
Answer:
(i) True; since the collection of whole numbers contains all natural numbers.
(ii) False; as integers may be negative but whole numbers are positive. For example:
−3 is an integer but not a whole number.
(iii) False; as rational numbers may be fractional but whole numbers may not be. For example: 1/5 is a rational number but not a whole number.
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