Is there any irrational number in decimal with a rational

glitinosim3 2022-07-01 Answered
Is there any irrational number in decimal with a rational binary expansion?
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Answers (2)

wasipewelr
Answered 2022-07-02 Author has 11 answers
No. If a number is rational, then the expansion in any numeral system will repeat, and if it is irrational, then it will not repeat in any system.
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prirodnogbk
Answered 2022-07-03 Author has 6 answers
The concept of irrational number is independent of the way we choose of representing them. So, if a number is irrational, its expression in any base will be non-terminating and non-repeating.
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