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How many digits are used when you report scientific measurements?
Wiki User
∙ 13y ago
The basic measurements should be reported to the accuracy of the measuring equipment. For any derived units, you should give the results to an appropriate degree of accuracy which takes account of the possible measurement errors.
For example, if the mass of an obect is 50 grams (accurate to 1 gram)
and the volume is 6 cc (accurate to 1 cc),
then the calculated density is 8.333... g/cc
But, the true mass could be as low as 49.5 g and the true volume as high as 6.5 cc giving a density as low as 7.6 g/cc.
or
the true mass could be as high as 50.5 g and the true volume as low as 5.5 cc giving a density of 9.2 g/cc.
To give the density as 8.33 g/cc is giving it a spurious degree of accuracy which your measurement equipment does not justify. You need to report it as 8 g/cc or as 8.3 g/cc with a range of 7.6-9.2 g/cc.
Error analysis is an important but often overlooked branch of mathematics.
Wiki User
∙ 13y ago
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