You've probably heard or used the word calibration in reference to the balances. I often ask you to check to be sure that they are calibrated. When I do, you look to see that when nothing is on the balance it reads zero. According to Wikipedia, (and yes, I am citing wikipedia, a thing I tell you never to do, but it just so happens, in this instance it gives a very good definition for calibration) calibration is:
"a comparison between measurements – one of known magnitude or correctness made or set with one device and another measurement made in as similar a way as possible with a second device. The device with the known or assigned correctness is called the standard. The second device is the unit under test (UUT), test instrument (TI), or any of several other names for the device being calibrated."
Calibration gives us a starting point or a point of comparison between measurements. We may have two different units of measurement calibrated to each other. This is where scales come in.
Angier is not talking about scales of a fish, or scales on a piano (although, scales on a piano are the same concept); she is talking about scales of reference or measurement of numbers. Something that is really tiny is on a small scale. Something that is really huge is on a large scale. All the metric conversions we have been doing are about changes of scale. Scientific notation provides a quick and easy way to change the scale of something.
OK, now that we have made sense of the title of the chapter, it is up to you to make sense of the rest of this. I invite you to post your thoughts.