Roger Hui wrote:
>> I've often thought * before +, which is now
>> taught as 'standard', comes mostly from the
>> first Fortran which did use that order.
>
> On this topic, Falkoff and Iverson had this to
> say on page 326 of "The Design of APL".
> http://www.research.ibm.com/journal/rd/174/ibmrd1704F.pdf
>
> The rule that multiplication is executed before
> addition and that the power function is executed
> before multiplication has been long accepted in
> mathematics.

The increasing formalization of this rule over time is described in

http://members.aol.com/jeff570/operation.html

(section headed "Order of Operations").

John

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