this post was submitted on 19 Dec 2024
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What? That's not true at all...
Base π: π=1
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.
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.
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
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
π = 10
in base 10, 10 = 10.