Casio anomaly or gremlin or bug...

[John Cadick]

(09-05-2017 06:20 PM)Matt Agajanian Wrote:  So, you're saying the TI and HP results are correct? What rules are present when +/- or x/: are on the same level in an expression?

All precedence of operations start with parentheses and then exponentiation. (PE) in some countries B (brackets) is used instead of P.

In some parts of the world (the US primarily) the whole sequence is PEMDAS. parentheses, exponentiation, multiplication, division, addition and subtraction. I believe that some European countries use PEDMSA instead.

The way that many people do it is to go through the entire expression and do anything in parentheses first. Then they go back to the left and go all the way through doing exponents

To be consistent they should then go back to the left of the expression do each of the operations individually from left to right.

Doing your example using PEMDAS the answer would be developed as:
6/2(1+2) => 6/2*3 => 6/6 = 1

If however the PEDMSA method is used:

6/2(1+2) => 6/2*3 => 3*3 = 9

Thus the "correct answer" depends on which precedence sequence you use and whether or not you go back to the left and work to the right for each of the six operations.

That is why I personally avoid ever entering an expression unless there are parentheses to to clarify.

John