Note:
(you can skip intro;)
Precision problems (errors) are more common than majority knows or even thinks about. In our line of work those are architects & archviz artists. Many practicing some crazy-mixed scaling, XS or XL units and coordinating projects all over but around center. Then when they are told about usual answer follows: "Everyone is working like this. We haven't had any problems." Yes, for making few images, printing paper plans & few posters this is more than OK. Now do the earthquake, fire, lighting, emission simulations...
In short why there's a professional need for double precision, ECC memory... especially for financial & science computing (simulations of reality), where such mistakes can't be tolerated.
What some of us do, is simulating light to arouse emotions with the artistic style in mind. We're caught somewhere in between design, film, games, engineering, science, medicine, magic, cooking, hunting, gathering, philosophy and art.
No joke :D
So bare in mind as one of the basic principal in rendering/CGI - Optimum:
Coordinate the scene in minimal space possible with center of gravity in, or close to origin (0,0,0).
+ Makes the scene render faster, orient easier, coordinate better, prevents bugs (precision errors)... ;)