Pi in other bases
Wolfram says:
An irrational number is a number that cannot be expressed as a fraction (p/q) for any integers p and q.
So, no. 0.333333333..... is rational. (which is a misconception I think you might have.)
An irrational number is a number that cannot be expressed as a fraction (p/q) for any integers p and q.
So, no. 0.333333333..... is rational. (which is a misconception I think you might have.)
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I know tha, but some numbers which are rational in base 10 are irrational in other bases. Right?
Quote:Original post by Axiverse
I know tha, but some numbers which are rational in base 10 are irrational in other bases. Right?
right
but finding a base in which pi is rational is impossible (or very very hard)
Quote:Original post by AxiverseI'm pretty sure that's wrong. Give an example.
I know tha, but some numbers which are rational in base 10 are irrational in other bases. Right?
Actually, I'm sure that's wrong. Because base has nothing to do with rationality.
I don't know about all irrational numbers, but pi is never rational, nor does it ever exhibit a clear pattern. Even as a continued fraction, there seems to be no pattern, where as e and phi, for instance, have very obvious patterns as continued fractions.
No. I repeating decimal can be non-repeating in other bases, but a repeating decimal is still rational. PI is not a fraction, so is irrational.
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