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 :

Final answer:

Natural numbers are whole numbers, integers include more than just whole numbers, and rational numbers extend beyond whole numbers.


Explanation:

True: Every natural number is a whole number as natural numbers start from 1 and whole numbers include natural numbers plus zero and negative numbers.

False: Not every integer is a whole number. Integers include negative numbers, zero, and natural numbers. While all natural numbers are whole numbers, not all integers are.

False: Every rational number is not a whole number. Rational numbers include fractions and decimals that can be expressed as a ratio of two integers, not restricted to whole numbers.


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