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Question:

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.

Solution:

(i) True every natural number is a whole number because natural numbers start from 1 and whole numbers start from 0, so every natural number is a whole number. (ii) False because integers include negative numbers, which are not whole numbers. Whole numbers are non-negative integers. (iii) False a rational number is any number that can be expressed as the quotient of two integers.