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5. State whether the following statements are true. If not, justify your answer with
example.
(i) Every whole number is a natural number.
(iii) Every integer is a whole number.
(v) Every rational number is a fraction.
(ii) Every natural number is an integer
(iv) Every integer is a rational number
(vi) Every fraction is a rational number.
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Step-by-step explanation:
i) False
whole number starts with 0 and goes infinitely whereas natural number starts from 1 so all the whole numbers are not natural number.
ii) True
rational numbers are written in the form of p/q whereas q≠0.
iii) False
natural numbers are positive but integers are negative also.
iv) True
rational number are those which can be written in fraction and integers can also be written in fraction.
v) True
its true that all the fraction are rational number but if in any fraction the denominator is 0 its not rational.
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