Wednesday, November 30, 2022

Another base curiosity

You learned long ago that representations of fractions can involve repeating decimals, such as 1/7 = 0.142857 142857 142857 ... to infinity.

Not so with non-integer bases. In base 3/2, the representation of 1/2 is an infinite but non-repeating decimal. This is already known, but I thought such a simple example was worth noting.

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