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TBF, be careful here. The IEEE floats can represent a subset of integers in their range exactly. For example, 64 bit floats can represent the range of 32 bit ints accurately (and more).

That said, it is bizarre to claim that if the result can be represented you get the exact result, when the core problem is that the result cannot be represented because the representation is an approximation.

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> The IEEE floats can represent a subset of integers in their range exactly. For example, 64 bit floats can represent the range of 32 bit ints accurately (and more).

I know, I am being a little facetious. A double has a 52 bit mantissa, so it can exactly represent integers that need 52 or less bits.

Still, as a percent, a float can represent 0% of the reals. There are an infinite amount of numbers it cannot represent, even if we give it lower and upper bounds. Whereas an int can represent 100% of the integers within a lower and upper bound.

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