In measurements , because the unit of measure should be clearly indicated it is strongly recommended to use decimals.
A measurement precision of 1% mm is literally 1/100= 0.01 mm
That is the internationally acceptable way to demonstrate precision rate.
Even in Italian scientific (topography,geodesy,mechanical engineering) texts precision is indicated in this way as it helps reader to immediately detect precision limits without having to follow calculation steps (1%=1/100=0.01)which may cause errors when staff is stressed.
The 'precise to' is not needed for us engineers, yet for layreaders it is added to show that according to various parameters the final measurement might have less or equal precision than the indicated one, as other factors (like temperature) might reduce the precision ability of the measuring instrument .That means that although the instrument may have been designed to achieve a precision of 0.01 mm a sudden temperature change might still reduce the measurement accuracy(see further down about accuracy )
Therefore if the text is an instructions manual addressed to layreaders 'precise to' should be added, if it is addressed to engineers then 'to' it can be omitted.ask your commissioner about
Here are some links that show the above stated:

'...Measurement range of 0 to 300 mm, and precise to 0.01 mm...'

http://www.amazon.com/Mitutoyo-192-130-0-300mm-Resolution-Ac...

'...Testing precision:
the straightness 0.01mm; the twist 0.001mm; the inner diameter 0.001mm; ...''
'..testing precision: the
straightness 0.01mm; the twist 0.001mm; the inner diameter 0.001mm; the coat ....'


http://scholar.google.gr/scholar?q=caliber of 0.001 mm preci...

Now the difference between accuracy and precision :
Accuracy is how close to the real/true length the measuring unit performs
Precision is how consistent several measurements of the same value/length/dimension are

Here you must use precision although often the word accuracy is mistakenly used by non experts
http://en.wikipedia.org/wiki/Accuracy_and_precision

'...Toward 1-mm depth precision with ...'
http://researchcommons.waikato.ac.nz/bitstream/handle/10289/...

Now the word order in engineering English(concision) changes if compared to the Italian structure (genitive 'of').SO when you explain the function , use the second option but when you need to be concise (i.e. in tables) use the first version.
Hope I have helped enough
Bol.b.