Steven D'Aprano wrote:
On Tue, 28 Jun 2011 01:16 pm Chris Angelico wrote:

On Tue, Jun 28, 2011 at 12:56 PM, Steven D'Aprano
<steve+comp.lang.pyt...@pearwood.info> wrote:
Zero sig figure: 0

Is 0.0 one sig fig or two? (Just vaguely curious. Also curious as to
whether a zero sig figures value is ever useful.)

Two. I was actually being slightly silly about zero fig figures.

Although, I suppose, if you genuinely had zero significant figures, you
couldn't tell what the number was at all, so you'd need to use a NaN :)

No, values with zero significant figures are just order of magnitude estimates. They're used fairly often when doing very vague estimates, but obviously they're subject to pretty atrocious rounding error.

For instance, let's do an order of magnitude estimate for the Planck energy. The most obvious method is to start with the Planck mass. In SI, it's about 2 x 10^-8 kg, or on the order of 10^-8 kg (zero significant figures). To convert to energy, multiply by c^2. c = 3 x 10^8 m/s, so c^2 = 9 x 10^16 m^2/s^2, or about 10^17 m^2/s^2, so the Planck energy is on the order of 10^9 J. That's a calculation to zero significant figures.

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