Duplicating a UI object (button for sure, and maybe panels too) sometimes causes the duplicated buttons to have a new scale like X: 0.9999999999, Y: 0.9999999999 Z:0.999999999999 as well as a new strange location which can vary from 3.########E to 4.########E.
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Actually that happens with any item that you duplicate in the editor. Not sure if it has always been there or not, but I have noticed it with every single item that I have tried to duplicate in 4.6. I generally try to keep my transforms easy to replicate by trying to only use 2 points of precision if any. This is an easy enough to replicate bug, just create a 4.6 game scene, and start creating items. Then go to the hierarchy pane, select one, press Ctrl + D (on Windows, not sure the keys on Mac), look at the transforms in the heirarchy.
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The ocd in me feels your pain. 
You should file a bug report for someone at Unity to ignore.
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It’s probably a super-simple bug to fix but there are so many more important bugs that I doubt it’ll get fixed. 
I’m seeing the same, but for me Buttons get a scale of 1.000002 or something like that, when the original had exactly 1.
This isn’t just for the UI. It’s happened for as long as I can remember using Unity, which was… 4.0 or thereabouts. I think it has to do with the floating point precision when copying the values. I guess the Unity team could make it round the value when copying it, but… it’s not really high priority. Just highlight multiple objects and set it to 1, but it might change again later if you edit it.
In the end, I corrected them when I noticed them a lot, but sometimes just left them as is and didn’t really see any issues.
but… the OCD!
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same for me, using 5.4 beta. scale change from 2 to 2.000001
This bug is still present.