# Pi in other bases

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Is pi rational in any integer base? (just for fun)

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infinity times pi if thats an interger

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that would only happen if it was in base pi, but that is obviously not an integer

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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.)

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I know tha, but some numbers which are rational in base 10 are irrational in other bases. Right?

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Quote:
 Original post by AxiverseI 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)

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Quote:
 Original post by AxiverseI know tha, but some numbers which are rational in base 10 are irrational in other bases. Right?
I'm pretty sure that's wrong. Give an example.

Actually, I'm sure that's wrong. Because base has nothing to do with rationality.

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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.

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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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Instead of 'I', 'A'. ^^^^ I love being an AP.

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