On Thu, 12 Aug 2010 18:19:40 -0700, Benjamin Kaplan wrote:
> But that's not keeping the number the way it was typed. It's just not
> showing you the exact approximation.
Nor is 34.520000000000003 showing you the "exact approximation".
The closest "double" to 34.52 is 4858258098025923 / 2**47, whose exact
decimal representation is:
34.52000000000000312638803734444081783294677734375
The decimal representation of 1/(2**n) for n>0 always ends in 5. As a
consequence of this, the exact decimal representation of any binary
floating-point value which isn't itself an integer must end in 5.
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