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I would also be against the three-decimal place rule you suggest.
round everything off to 3 decimal places (in
scientific notation) and leave it at that. (Worrying about
the uncertainty can come later, if at all.)
For
example, we do some simple Ohm's law labs using VI graphs to get the
resistances of some 'black boxes', individually and in series and parallel.
The digital voltmeter reads to a 100th of a volt and we use a 0-10 volt
range and the analog ammeters can be read to no better than 3 digits. Now
we go to EXCEL for graphing and fitting. Typically the resistances are in
the 50-200 ohm range. I really don't see that letting students report that
the resistance was 125.264 Volts/Amp is reasonable. I really want 125 or at
worst 125.3 as the reported value. Sig Figs handles this.