2020年12月13日 · Significant figures is a rule of thumb for students. In a scientific paper you would report your uncertainty explicitly. So if you measured something to be 3.0 with a standard uncertainty of 0.2 then you would report it as ##3.0 \pm 0.2## or more concisely ##3.0(2)##.

For example, the notation $5.82876$ is an exact representation of a particular number, and $5.8$ is an approximate written representation, to two significant figures, of the same number. $5.8$ is also an approximate written representation (to two significant digits) of many other numbers, such as $5.810394$ and $5.79928129$.

2011年3月7日 · In multiplying or dividing, the result can have only as many significant figures as the least number of significant values in any number used in the problem, so that in your case, x must have 3 significant figures. As an example, if y = 1.23 (3 sig figures) and z = 0.629 (3 significant figures), then x = y/0.6z = 1.23/0.6(.629) = 3.26 (3 sig figs).

2014年12月29日 · Well, I would suggest you look up a few pages on guidelines for logarithms and significant figures to understand my background -- and verify what I am saying -- for the "rule" you have learned does not apply to logarithmic calculations, according to the many university professors at creditable colleges writing guidelines on doing s.f. calculations that I have been …

2008年8月31日 · How many significant figures in your final result depends on the the starting accuracy of your information. In your case, you began with two figures, "12". You should keep TWO significant figures for your result, in your case, "19 km".

You actually have to apply the correct number of significant figures based on the rules of operations (addition/subtraction or multiplication/division) as you perform each calculation in a problem with multiple calculations. The purpose of using significant figures is not to get accurate results or results closest to what a calculator would get.

2019年6月4日 · Significant figures (commonly called “sig figs”) are the number of figures (digits) included when rounding-off a number. For example, 789.001 to 6 5 4 3 2 and 1 sig figs is 789.001 789.00 789.0 789 790 and 800 respectively (note the …

2020年9月27日 · The significant figures approach would be more explicitly written as $(5.00 \pm 0.05)\text{ m/s}$ which understates our uncertainty by a factor of 2.8 or so. Both are pretty bad representations of our actual uncertainty of $(5.00 \pm 0.14)\text{ m/s}$ , but the significant figures approach is slightly less bad than the answer given.

2024年7月26日 · Another example is in the Wikipedia article about the rules, with an example stating "$101.12003$ consists of eight significant figures if the resolution is to $0.00001$" which is, once again, consistent with what I stated.

2019年9月26日 · Some reports will provide additional rules on how to determine whether the uncertainty should have only one or may have two significant digits depending on whether the last digit is 4 or less. All counting numbers are infinitely precise and have an infinite number of significant digits.