Stating uncertainties

Rule for stating uncertainties:

Experimental uncertainties should almost always be rounded to one significant figure.

Rule for stating answers:

The last significant figure in any stated answer should usually be of the same order of magnitude (same decimal position) as the uncertainty, when written in the same units.

Examples:

Incorrect Correct
8.123456 ± 0.0312 m/s 8.12 ± 0.03 m/s
3.1234 x 104 ± 2 m (3.1234 ± 0.0002) x 104 m or 31 234 ± 2 m
5.6789 x 10-7 ± 3 x 10-9 kg (5.68 ± 0.03) x 10-7 kg