Hi, all:

[Caveat emptor: All that follows is thoroughly tongue-in-cheek, to try and cheer up the Forum a little. V.]

There's been a number of recent posts praising how RPN makes the process of evaluating an algebraical expression easy and intuitive, without having to deal with parentheses and/or implicit rules of precedence, etc.

Well, let's put it to test. Suppose we're asked to evaluate these

expressions:

0.5 + 0.2 * 0.3Here's how I would do it algebraically:

and

0.312 * 0.437 + 0.251

Using the distributive property of addition over multiplication,For a more complicated test, let's suppose we're asked to

also known as the distributive law of sum: a + b*c = (a+b)*(a+c):0.5 + 0.2 * 0.3 =

= (0.5 + 0.2) * (0.5 + 0.3)

= 0.7 * 0.8

=0.56Similarly for the second one:

0.312 * 0.437 + 0.251 =

= (0.312 + 0.251) * (0.437 + 0.251)

= 0.563 * 0.688

=0.387344

evaluate the following expression:

(2+1/4)^(3/2)

Here's how I would do it algebraically:

Using the rule of exponents: (a+b)^c = c*(a+b):What ? You don't like these algebraically obtained values of mine ? Well, let's see if RPN gets you any better results. :-)(2+1/4)^(3/2) =

= (3/2) * (2+1/4)

= (3/2) * (9/4)

= (3*9) / (2*4)

=27/8

Best regards from V.

*Edited: 28 Mar 2006, 6:18 a.m. *