```Date: Mar 14, 2006 8:53 AM
Author: matt271829-news@yahoo.co.uk
Subject: Re: Reason for operator precedence

Dik T. Winter wrote:> In article <1142342196.542632.294210@i39g2000cwa.googlegroups.com> matt271829-news@yahoo.co.uk writes:>  > Tony wrote:> ...>  > > I was wondering what the reason is for having multiple levels of operator>  > > precedence?> ...>  > As far as addition/subtraction vs multiplication/division is concerned,>  > one reason is to ensure that the distributive property of>  > multiplication works sensibly. For example, we want 3*(4 + 6) = 3*4 +>  > 3*6 = 3*(6 + 4) = 3*6 + 3*4.>  >>  > And for exponentiation we want, for example, 3*3^2 = 3^3, not (3*3)^2>> That is not the reason.  You could just as well have left to right> operation when you use sufficiently many parenthesis in the euqations.> E.g. 3*(4 + 6) = (3*4) + (3*6).Well, obviously any precedence can be enforced with parentheses. Imeant make it work *without* the need for parentheses, just as in yourexample below.>> But try to write the polynomial x^7 + 2x^6 - 3x^5 + 2x^4 +7x^3 - 3x^2 - 5x + 8> without assuming precedence.  It is to avoid large numbers of parenthesis.
```