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
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 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: $\frac {1}{5}$ is a rational number but not a whole number.
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