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Which of the following number is an irrational number between 1/3 and 2/3?(a) 0.3333….(b) 0.343403400…(c) 0.55555….(d) 0.67670671….I got this question in an interview for internship.Enquiry is from Real Numbers and their Decimal Expansions topic in division Number Systems of Mathematics – Class 9

Answer»

Right OPTION is (B) 0.343403400…

Explanation: 1/3=0.3333… and 2/3=0.6666…0.333… and 0.555… are non-terminating and recurring, so they can be REPRESENTED in the form p/Q where p and q are integers. Hence they are rational numbers. 0.343403400 and 0.67670671… are non-terminating and non-recurring. Hence they are irrational numbers. But, among 0.343403400…and 0.67670671, only 0.343403400 is between 1/3 and 2/3. So option 0.343403400… is CORRECT.



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