As I said in another (larger) comment, you just don’t know how precision is encoded in decimals, which doesn’t mean that it isn’t. In fact, precision is encoded in decimals, just like with fractions.
0,7 is 0,7 ± 0,05 0,7000 is 0,7 ± 0,00005
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That is not a flaw of decimals. It is a flaw of you not knowing how precision is encoded in decimals.
0,7583 means 0,7583 ± 0,00005.
0,758300 means 0,75833 ± 0,0000005.
0,76 means 0,76 ± 0,005.
That is why when in a store an item costs 7,5€, we don’t say 7,5€. We say 7,50€. Because it is precise to a hundredth of a €, not a tenth of a €.
1/14. Easy
If programs can handle February having 28 days, sometimes 29. It can handle 14 having 1 day, sometimes 2.
Precision has nothing to do with the unit system. Or notation of fractions.
0,001m is as precise as 1mm
1/1000m is as precise as 1mm
In SI you don’t even have prefixes, you use scientific notation with base units. You don’t say neither 1mm nor 0,001m. You say 1x10-3. Which is exactly the same as the other magnitudes of this comment.
If you want precision in imperial, you could as easily say 0,00000000001 inch. It would be as precise as 0,000000000255 mm, or whatever the conversion is.
If you have 0,7 that is more precise than 0,7 and less precise than 0,7. You can just say 0,7 ± 0,02.