Brian Ripley wrote:
'Unfortunately' you give no credentials for your ex cathedra pronouncement. E.g. http://en.wikipedia.org/wiki/Significant_digits says The situation regarding trailing zero digits that fall to the left of the decimal place in a number with no digits provided that fall to the right of the decimal place is less clear, but these are typically not considered significant unless the decimal point is placed at the end of the number to indicate otherwise (e.g., "2000." versus "2000"). To make things more clear, trailing zeros are only recognized as significant figures if the number they are a part of has a decimal point. For example, 450 only has two sig figs, but 450. has three. which directly contradicts you. So this is at best a matter of opinion, and credentials do matter for opinions.
In the elementary statistics text ``Statistics for the Life Sciences'' (Samuels and Witmer, Prentice-Hall, 3rd ed.; fairly respectable credentials) there is an appendix on Significant Digits which says, amongst other things: ``How many significant digits are in the number 23000? When the number is expressed in this way --- in ordinary rather than scientific notation --- it is not really possible to tell how many significant digits it has.'' .... ``Scientific notation removes the ambiguity.'' Determining the significance of digits from the presence of a decimal point is perhaps a ``reasonable'' convention, but it is certainly not one that is widely practiced or understood. Relying on an obscure convention is fraught with risk. cheers, Rolf Turner rolf at math.unb.ca