As a statistician, I'd have to say that the true value of my math skills resides in the 99% confidence interval of (pretty good, fucking amazing).
No because you always go left to right. Whilst parenthesis and exponents come first, for operations of equal rank (multiplication and division, addition and subtraction) you go left to right. The answer is always 288.Sargent Hoofbeat said:48 ÷ 2 * (9+3)= either 2 or 288 depending on whether you multiply or divide first
Multiplication and division hold no precedence over each other as division is simply the inverse function of multiplication (IE divide by two or multiply my .5 yield the same results), like how - 1 and + -1 mean the same thing.
Think of it this way, after the 3rd grade you never use the symbol ÷ again, rather you put what you want divided on top of a line, and what you want it divided by on the bottom of the line, and the line has a dual role as a parenthesis.
order of operations should be thought of more like this
Parenthesis AND Indices
Multiplication AND Division
Addition AND Subtraction
I have always been taught BEDMAS.barbzilla said:The Order of Operations is P.E.M.D.A.S.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
I suppose that might be a good reason. ^^Rabid Toilet said:It's not very often that I get a problem where I'm asked to do something simple like 9*27. It's always 3.592*12.735 or 34^(2/9).
I almost went as far as you. I dropped out of calculus 2 halfway through the semester when I realized it was taking up more of my time than all my other classes combined and that none of it was actually going be helpful for me as an IS major.Rednog said:I went up to and finished Calculus 2.
And all I have to say is...it was a huge fucking waste of time.
I honestly don't think I could even begin to try and use any of it since the last higher math class I took was 6+ years ago.
Seriously a significant chunk of us will never use anything past the basics in day to day life. Hell even though math comes up regularly in my job (I work in a clinical lab) it's all stat based and computers do the calculations for you. My only job is to know how to interpret the results computer spits out in the form of graphs/data.
So everyone should know it and do it in exact the same way? And this way happens to be better? Despite the fact that its a purely arbitrary descion?Mortai Gravesend said:But in some cases you don't need brackets if you know the proper order of operations. Presumably if you're learning math you should know it instead of trying to get around it.Mr_Spanky said:My point being that (assuming you know the definition of the + - x / operators) you dont need to know PEMDAS/BODMAS if you use brackets. Which makes it easier for a much larger number of people to know whats going on no matter what their background in mathematics. I didnt learn order of operations - I still havent to this day - and I cant think im the only one who didnt.Mortai Gravesend said:Just knowing the proper order of operations is a better solution. Because there is one and it is quite clear. If I were writing it as a genuine math problem I would expect people to know the order of operations as well as I do and find putting (1x2) to be utterly unnecessary.Mr_Spanky said:I personally never learnt the PEMDAS system in school at any point and I really dont like the way people write their mathematics to be deliberately confusing. Problems like these are only there to serve the purpose of somone being able to go "Hur hur hur - youre so dumb you cant even do basic maths".DoPo said:Yup, that's exactly it. And it is easy. Although, it's usually even simpler - only addition, for example. A favourite one to troll people with is something along the lines of 2+2+2*0=? (or add in some more 2s if you wish). Cue people answering 0...or even 6.A Raging Emo said:I haven't seen any trend like that. The trend with people on my List seems to be doing a really simple convoluted Maths problem.
(i.e. 1+1+1+1+1+1-1+1+1+1+1+1+1-1+1x2 = ?)
barbzilla said:The Order of Operations is P.E.M.D.A.S.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
An easy way to remember the order is with the phrase Please Excuse My Dear Aunt Sally (I thought everyone was taught this in elementary school).
If you do maths and want to make what youre trying to do clear you use brackets to show the exact order.
Hence you get:
1+1+1+1+1+1-1+1+1+1+1+1+1-1+(1x2)
or
(1+1+1+1+1+1-1+1+1+1+1+1+1-1+1)x2
and
2+2+(2*0)
OR
(2+2+2)*0
Its so simple to do that I cant help but think that the ONLY reason these exist is for peoples superiority complexes.
Im currently doing a degree in mathematics and I do modules in quantum physics and advanced electromagnetism. These problems sometimes trip me up not because im a bad mathmetician but because the writing of such problems is DESIGNED to trip you up. If I was writing this as a genuine mathematical problem I would not write it like that.
USE BRACKETS when writing equations. Simples.
When reading through a textbook or solving with pen and paper NOBODY (at least not in my textbooks, my coursemates or my proffesors) is going to write an expression in that manner. Thats not an accident. The way the above problems are written is confusing - thats their purpose. Their only place would be to test your knowledge of PEMDAS/BODMAS in an exam for a course you actually learnt it in. After that they become largley irrelevant.
Unless youre trying to put one over someone an equation written in that manner serves precisely no purpose.
Also in doing mathematical solutions to a problem it is very important to know exactly where everything came from. If (as I am atm) youre doing a problem that requires two full sides of A4 to solve having 2x1 instead of 2 helps you track back through the problem easier which is very helpful if you make a mistake.
Even when working through something fairly basic such as 3x3 matrix multiplication its often helpful to write in the 1s and 0s as you can easily track back through the problem and see what you did and where all your numbers came from. Its just good practise tbh.
And the x2 bit at the end isn't confusing at all. It's very clear IF you know everything you ought to.
And I'd write it that way because it's simple to do so and I wouldn't add parentheses because personally I don't find them necessary there, so it wouldn't even cross my mind to do so. Because it's clear.
It isn't VERY important to all know where it came from, that's merely your method of tracking. It is useful, like not substituting variables with the actual values until the end in many problems, but it is far from being vital. But it's merely a tool, not as important as you portray it. You can still go over the lines without it and it's quite possible to see where things came from without doing it as you do.
Actually if you take Euler's Constant into account for statistics it does mean that they have a greater chance the next day, but this goes off of the probability of the same event occurring multiple times. You should take a look at Euler's writings on lotteries.scw55 said:c) Understanding the probability of random drops. An example is the Reins of the Ravenlord in WoW (a mount). It had like a 4% drop chance? You could only do the thing which gave a chance of it dropping once per day.
It was correct to assume that statistically you had a better chance of obtaining it within the first 25 days then any days after that.
Unfortunately, when it came to 'coming back the next day', some people believe that magically they had a greater chance of getting the mount based on the facts of the first day. They thought that they will get it by x days. No. Sadly and depressingly, every-time you return and kill the boss, it's a fresh 4% chance and a fresh 25 days FROM THAT NEW TIME.
Statistics are constantly misunderstood by humans beings who subconsciously believe in an aspect of fate or luck. At the end of the day statistics are about perspective.
Again, it isn't really needed. If needed be, it can be easily re-learnt (and forgotten) when necessary.barbzilla said:I am sure you are right about me over thinking the issue. It just seems a bit off. It was drilled into my head through out school (though I didn't go through public school for most of it), and I am amazed at how few recognize the issue.mad825 said:If they can't budget then they're screwed for life, right? It means nothing and you're over looking the problem.barbzilla said:You don't come off as snobish here. It would be perfectly fine if people who are unable to complete basic math problems left it alone, but the issue is people think they are right. This means that our society is unable to process basic mathematical functions such as budgeting.
I am sure it probably has something to do with the school systems, given the level of aptitude I have seen lately.
Honestly, BIDMAS (P.E.M.D.A.S or whatever) is overrated and isn't used in day-to-day life for everyone therefore not many people care too much. It's the sort of thing you're taught in maths then forget about before the term is over when the exams are done.
I realize that the Order of Operations may not be a major day to day issue, but it is required for you to figure out things like interest and probability. So, unless people wish to go about trusting that all is well with the people that handle their money, they should really look into improving their math skills.
Don't get me wrong I am not a math whiz by any means, I just find it deplorable that people would neglect basic arithmetic to this level.
Ok dude. Since weve now descended to the level where you just want to insult me im gonna leave it there.Mortai Gravesend said:Snip