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Floating point arithmetics
(eviltoast.org)
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Fixed-point arithmetics
Also known as "if you ain't storing cents, you ain't making sense."
There is also Decimal floating-point arithmetic which has a larger range and better memory safety. Java, C#, Python, Ruby, etc. have built in support for it via Decimal.
Banks and big companies have to worry about round-off and fractions of a penny, so Decimal is a better solution for them. But the great unwashed like you and me will never have to worry about that, so either works.