NSNumbers are inaccurate when retrieved using core data

This is a little odd to me, but when I perform basic division on a float I get inaccurate approximations. This isn't a huge开发者_如何学JAVA deal because I can truncate the number, but I'm just curious as to why NSNumbers behave this way. Sample code included...

NSString *stringNumber = @"2782";
float ratio = [stringNumber floatValue]/10000;
NSNumber *sizeRatio = [NSNumber numberWithFloat:ratio];

//core data save...

on subsequent loads the number reads: 0.2782000005245209

Any ideas? Google hasn't been very helpful because it keeps showing me results for "number" instead of "nsnumber"

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This is normal for any floating point numbers

See wikipedia entry

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It turns out using floats results in rather inaccurate results on iOS. I've had much better success using doubles instead.