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Re: [Phys-l] Significant figures -- again



On 03/08/2012 07:20 PM, Jeff Bigler wrote:
I don't take
off any points as long as they're within about ±2 of what a formal
treatment of sig figs would call for.

I agree with the sentiment, but ±2 isn't where I would draw the
line.
-- As for the lower bound, you almost always want at least one
guard digit, i.e. one more digit than the sig figs rules would
allow.
-- As for the upper bound, you almost never need to worry about
it. Natural healthy laziness limits the number of digits the
students will write down. You might get one wise-guy per year
who writes 43.8574638899607879698958476525252427398409506 ± 3.0
... but even that is harmless.

I insist that nobody is ever required to round anything off.
They are /allowed/ to round off when convenient, provided it
doesn't introduce any unintended loss of accuracy.