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Significant Figures – Rules
All measurements are approximations—no measuring device can give perfect
measurements without experimental uncertainty. The number of significant figures is
simply the number of digits that are actually measured or estimated. Any digit that is
measured or estimated will be considered significant. Placeholders (digits that have not
been measured or estimated) are not considered significant.
1. ALL Non-zero numbers (1,2,3,4,5,6,7,8,9) are ALWAYS significant.
1.234 has 4 significant figures
1.2
has 2 significant figures
58100 has 3 significant figures
2. ALL zeros between non-zero numbers are ALWAYS significant.
1002 has 4 significant figures
3.07 has 3 significant figures
0.0102 has 3 significant figures
3. ALL zeros that are both to the right of the decimal point AND to the
right of another non-zero digit are significant.
5.00
has 3 significant figures
0.005000 has 4 significant figures
4. Zeros used solely for spacing the decimal point (placeholders) are
NOT significant.
4000 has 1 significant figure
0.007 has 1 significant figure
0.0102 has 3 significant figures
(Adapted from http://www.usca.edu/chemistry/genchem/sigfig.htm,
http://www.fordhamprep.org/gcurran/sho/sho/lessons/lesson23.htm,
http://www.chem.sc.edu/faculty/morgan/resources/sigfigs/index.html)