What part of "divisions are done from top to bottom in the old ways" don't you understand?You do any math within brackets/parenthesis first. While within these brackets, you do any parenthesis in them first, then exponents, then (left to right) any multiplication or division(M and D have the same math priority!), and then (left to right) any addition or subtraction(addition and subtraction have the same math priority!). Do the same outside the brackets.
Er... what does the priority of multiplication relative to the priority of division have to do with this? This post summarizes the point of the thread nicely.There seems to be some mis-teaching which said multiplication took priority over division, but in actuality they have the same priority.
Would your equations be written in an ambiguous fashion though?Please explain those for us who does not have English as our first language.
And no, it is not mis-teaching, you have learned to calculate in a "modern" way, we who see it as the answer being one calculates with the old ways only.
If I am wrong then every formula I have learned in my occupation is wrong and many people are going to die because of it. When it comes to calculations involving power then a nine instead of a one is a big difference.
Source to back up your information? Every textbook and teacher/lecturer I've had prioritizes brackets before exponentials and I don't think they would all be wrong...Ah, then it is incorrect since Exponentials are prioritized before brackets.
I will send them to you in a PM tomorrow then.Would your equations be written in an ambiguous fashion though?
Also, some examples of these formulae you work with would be nice (just to quell my curiosity )
I think that you are thinking about this calculation as an equation, when you have all variables given you don't use exactly the same rules as you do when you have some none given variables.I think you're getting confused with fractions. 2 divided by 3 is the same as 2 over 3 or 2/3. When you have 2/3(4), the brackets simply mean multiplication. You'd do 2 divided by 3, and then that times 4. You only prioritize the math WITHIN the parenthesis, not its standing in the overall scheme of things.
133-100 75-(75-58)*--------- = 150-100
Where do you get your information from? I haven't seen anything to suggest that the order of operations changes under certain circumstancesI think that you are thinking about this calculation as an equation, when you have all variables given you don't use exactly the same rules as you do when you have some none given variables.
Since I'm not really bothered with trying to align numbers over a makeshift fraction bar...How would you calculate this one then?
133-100 75-(75-58)*--------- 150-100
133-100 75-(75-58)*--------- = 150-100
Where do people get this idea? Multiplication and division are of equal priority - if they are both found in the expression, then they are performed in the order they are found as you read the expression left to rightMultiply has priority over divide.
http://www.mathgoodies.com/lessons/vol7/order_operations.html said:Rule 1: First perform any calculations inside parentheses.
Rule 2: Next perform all multiplications and divisions, working from left to right.
Rule 3: Lastly, perform all additions and subtractions, working from left to right.
There's also...http://en.wikipedia.org/wiki/Order_of_operations said:The standard order of operations, or precedence, is expressed here:
terms inside parentheses or brackets
exponents and roots
multiplication and division As they appear left to right
addition and subtraction As they appear left to right
I think you ought to go back and take a look at Romek's earlier post, he pointed out something very interesting that actually has some evidence for it.2y and 2*y are the exact same thing.
I think the issue here is that only some calculators will group them into (2(1+2)) (or at least provide the same results for this case) for use in the equation. While 2(1+2) and (2+4) are equivalent, if you wish to use this value in an equation, you absolutely must put parenthesis around them for it to make sense.The issue is that calculators will assume 2(1+2) = (2+4) as it will distribute, if you don't put the *.