Are zeros considered significant figures in scientific notation?

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    Significant figures
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SUMMARY

The discussion centers on the treatment of zeros as significant figures in scientific notation, specifically addressing two examples: 34,500,000,000 and 30.4. It is established that zeros in the middle of non-zero numbers are always counted as significant figures, while trailing zeros may or may not be considered significant depending on context. The importance of understanding these rules is emphasized, particularly the ambiguity present in large numbers without clear notation. Reference to Rule 5 from the provided link clarifies these conventions.

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gunblaze
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o:) ok...

So We got 2 number (i) 34500000000 & (ii) 30.4 <both to 3 sig fig>

is zero considered a significant figure in this case...? If it is, then why do we include the zeros in 34500000000, if it is not, why, 30.4 and not 30.44?
 
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zero in the middle of non-zero numbers is always counted as a sigfig
but if it's the last number.. then it may or may not be counted as sigfig
if it's the first one, it is not a sigfig (e.g 0.0002 --> 1 sigfig)
 
The basic idea behind the rules is that if zero is merely acting as a place-holder, it isn't counted as significant. The rules rely partially on convention to remove ambiguity, so there really is no substitute for just learning the http://www.swt.edu/slac/math/SigFigur.html .
As tigger said, (i) is ambiguous as written. See Rule 5 in the link.
 
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