----- Original Message -----
Sent: 05 Oct 17,Monday 16:56
Subject: [USMA:34930] Re: a prominent ratio in SI
 

As usual, legitimate applications can be found for common fractions but they are usually in technical applications that only specialists need to know. Would you want a 6th grade child to have to do arithmetic involving the fraction
1/(299 792 458) ?

How about subtracting it from 1/273.16 (which is another ratio used in the fundamental definitions of SI units -- for thermodynamic temperature unit, the kelvin).

Can anyone propose ANY situation where these two ratios would need to be used in the same arithmetic operation? (Of course not!)

The need for ratios in technical situations does not make it necessary to teach the arithmetic of common fractions to poor little 6th grade children.
 
No, Bill, I'm not advocating that at all. I mentioned this only as a continuation of the discussion about the usefulness of ratios in mathematics. I guess I should emphasize that I mean mathematics beyond the introductory level. And, as I also said, I personally could have done without trying to interpolate on a ruler among fourths and eighths of an inch as a child---or even now, occasionally, as an adult.

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