Okay, I spent the last couple hours or more searching the internet for any information in support of thisnumberdisconnected and I came up completely empty. I found no support at all. Until now, I personally have never heard of anyone employing the same rule as thisnumberdisconnected. In my 20 years of working with industrial control and servo systems along with their various programming software I have never experienced a single system that does not employ the PEMDAS rule. In fact, it is when I neglect to apply the rule that I have put myself into trouble.
As another test, I entered the expression =(5+4*3-2) into a Microsoft Excel cell and the answer returned was 15, not 25 as would happen following the rule of thisnumberdisconnected.
I used the same expression to calculate an offset in my CAD software and it applied the value 15, not 25.
I know for a fact that our team of nearly 150 mechanical and electrical engineers and designers (some with PhD’s in engineering, physics, or chemistry) all use the PEMDAS order of operations rule.
Here are a few of the references I found in my online search. My search criteria was “Mathematical order of operations for engineers†and “College math order of operations.â€
H. Wu, emeritus professor of mathematics, University of California, Berkeley puts it this way: “exponents first, then multiplications and divisions, then additions and subtractions.â€
According to the SOPHIA standards applied at Capella University in Minneapolis, MN the correct order of operations is PEMDAS.
According to Noel Molloy the order is PEMDAS. His credentials: BSc in Applied Physics/Electronics, Specialized Diplomas in Medical Device Design and in Lean and Six Sigma Quality Science, Six Sigma Green Belt and a Masters in Business Administration backed up with 28 years supervisory and engineering experience in locally based multinationals (APC and Nortel).
According to TutorVista, the world's leading online education company with its diverse and highly educated tutor base of over 2000 teachers spanning India, United States, UK, Australia, China and South East Asia, the correct order is PEMDAS. The Company has grown rapidly with over 5 million online sessions served to students worldwide.
According to C++ programming standards PEMDAS is the order.
http://www.cplusplus.com
One final note. In defense of thisnumberdisconnected, I did find one document here,
http://www.math.vanderbilt.edu/~schectex/commerrs/ that did indicate there are some variations in the rule of order and in some cases these variations can cause problems. A simple example was when the expression 2^3^4 was entered into both a TI85 and TI89 calculator the results were different. In the TI85 it solved it this way (2^3)^4 however in the TI89 it solved it this way 2^(3^4), demonstrating that even within the same manufacturer the engineers don't agree.
It would seem there is some inconsistency in the math world but in my research the overwhelming majority use the PEMDAS rule.