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Rational number - a number that can be represented as the quotient p/q of two integers such that q ≠ 0
-Britannica

By that definition is any number which has the decimal part $.999...$ irrational?

Also, furthermore can we argue that 0.999..., a recurring decimal is in fact imaginary since we say it is =1 or ≈1

Chuck
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  • https://math.stackexchange.com/q/11/42969, https://math.stackexchange.com/q/504309/42969 – Martin R Sep 26 '22 at 14:37
  • It is not just approximate $1$ , it is exactly $1$. And this shows that it is even a natural number. – Peter Sep 26 '22 at 16:01
  • Irrational means that there is no period. Here we have the (aritifical) period $\bar 9$ – Peter Sep 26 '22 at 16:02

1 Answers1

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$0.999\ldots = 1\in\mathbb{Q}$

azimut
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