• Gobbel2000@programming.dev
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        3 days ago

        Writing the same number a different way does not make it rational. There are no two natural numbers p and q so that p/q = 1 base pi.

      • very_well_lost@lemmy.world
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        3 days ago

        Even in base π, π is still considered an irrational number; using an irrational based doesn’t change the fundamental identity of whole numbers or irrational numbers, it just changes the way we write them.

      • wewbull@feddit.uk
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        3 days ago

        1 is always 1. It’s 1 × b⁰ where b is the base. Anything raised to the zeroth power is 1.

        10 is the base. 1 × b¹ + 0 × b⁰

      • mexicancartel@lemmy.dbzer0.com
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        3 days ago

        That doesn’t make it rational but simply makes it writable in 2 digits(10)

        Also you should have 3.1415… “number of characters” in that base… The base becoming irrational will make the number irrational