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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, because natural numbers are 1, 2, 3, 4,.............. and whole numbers are 0, 1, 2, 3, 4, 5,....... i.e. the collections of whole numbers contain all the natural numbers.

ii)False, because negative integers are not whole numbers.

iii)False, because for e.g. \(\frac{16}{23} \) or \(\frac{7}{2} \) are rational numbers who are not whole numbers.

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