- #71
ugeminorum
- 3
- 0
George Jones said:-16
which is correct
which is incorrect.
Have you not yet been taught the conventional order of operations?
George Jones said:Negation is an operation; it's an example of a unary operation.
No, according to the standard order of operations, -2^4 = 16.
There is no law that prohibits a company from marketing calculators or computer software (e.g, Microsoft Excel) that use a non-standard order of operations, but I think it is silly to do so.
This reminds me of a joke I once read. How many Microsoft employees does it take to change a burnt-out lightbulb? None. Microsoft declares darkness the standard.
A standard order of operstions aids communication; if everyone follows the standard, then everyone knows what a given expression means. In the standard order of operations, the power operation takes precedence over negation.
As an example, consider the equation
-x^2 + 16 = 0.
According to the standard order of operations, x = -4 and x = 4 are solutions to this equation. According to your non-standard order of operations, x = -4i and x = 4i are solutions to this equation, which seems quite bizarre.
I applaud TI for using the standard order of operations. Maple also follows the standard order of operstions and returns -2^4 = -16.
Agreed.
So, in the expression -2^4, -2 is not a number. What happened to the negative numbers? If negation is taken purely as an operation, then there are no such things as negative numbers. Whenever I encounter a number with a negative sign, I am to interprut it as a positive number with the negation operation applied? That is the conclusion your logic follows. I, for one, stand by the negative numbers.
In the equation -x^2+16=0, the - is understood to be -1 (- DOES NOT REPRESENT A NEGATION IN YOUR EXAMPLE). Read any elementary high school algebra text. So the equation actually reads -1*x^2+16=0. The solutions are x=4 and -4. This is quite different from -2^4, where -2 is a number. Your answer can only be derived if the expresion is rewritten as -(2^4). There is a big difference. It is not the order of operations you don't understand, it is the actual mathematical notation for which you have no grasp.
It is okay for TI and Maple to handle the expression the way the do, as long as it is documented.
And, for your infomration, I am following the ONLY order of operation.
Last edited: