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Ok, so this is copying mathew compher, and he is using the same ridiculous page that you are using.. His hypothesis is that / and ÷ are not the same..
That in one point in time, maybe the 2 symbols had different meaning..
That 48/2(9+3) is not actually the same as 48÷2(9+3). This is not the view of the algebra as we see it... or in any math.
Why do the overwhelming majority of people, and we're talking technical people here, think it is 2 and not 288? Why does your mind want to see it wrong as you wrote above? It isn't easier to see 2 so it isn't a response driven by laziness. Why does everyone say 2? Smart, educated, technical people. The only people who say 288 are people like school teachers who are teaching the PEMDAS and absolutely have to be familiar with the rules and order of operations and the elementary mathematics (my 6th grader said 288 but my vanpool buddy, U of Michigan PhD Math, said 2).
I know 288 is correct - but we're approaching 100 posts here on something that 6th graders know. What the heck is going on here?
Why?
IMHO>>>>>>
After you are finished with formal schooling......I'd say that Algebraic rules are quickly forgotten.
I remember taking Calculus....which was relatively easy to understand versus remembering Algebraic operations sequencing etc.....
Some professors let the Algebra mistakes "slide" since most of "us students" made no errors in Calculus but with the subsequent Algebraic equations.
What I find most interesting in this thread is not that some people said "2" while others said "288", but that even after the rules of algebraic order of operation were trotted out and explained, some people continued to insist the answer was 2. There's really not much room for interpretation here folks; this is MATH, after all.
Perhaps it is time for a new, less controversial problem:
However, the use of symbols could produce some confusion as many of us that use math to earn a paycheck for decades are used to using excel, sas or any other variety of programming languages which have their own style of doing things.
Heck, my keyboard doesn't even have the olde fashioned dividey symbol.
I think the problem is like asking two people to look up the load capacity of a lift and one guy goes to look up forklifts and the brit goes to look at the elevator.
2/1(1+1) is NOT 1 in algebra...
2/1(2)
2(2)= 4
WHY you continue to ignore the rule of left to right... is a simple rule....
If you want it to be 1,,,
2/(1(1+1)), this is 1
Because /(1(1+1) means that everything is a denominator, but /1(1+1), means that only 1 is the denominator and then there is a *
You keep forgetting that ( means multiplication, so 2(2) means 2*2
so the equation is 2/1*(1+1), now if you see this why, do you still think that everything is a denominator?? is just because we add * changes things?
That's how I was taught.
You can turn anything with a "÷" to a fraction
http://en.wikipedia.org/wiki/Division_(mathematics)
"Any of these forms can be used to display a fraction. A fraction is a division expression where both dividend and divisor are integers (although typically called the numerator and denominator), and there is no implication that the division needs to be evaluated further. A second way to show division is to use the obelus (or division sign), common in arithmetic, in this manner:"
Find where it says that and it shows how fraction and division sign are interchangable
That's how I was taught.
You can turn anything with a "÷" to a fraction
http://en.wikipedia.org/wiki/Division_(mathematics)
"Any of these forms can be used to display a fraction. A fraction is a division expression where both dividend and divisor are integers (although typically called the numerator and denominator), and there is no implication that the division needs to be evaluated further. A second way to show division is to use the obelus (or division sign), common in arithmetic, in this manner:"
Find where it says that and it shows how fraction and division sign are interchangable
That's how I was taught.
You can turn anything with a "÷" to a fraction
http://en.wikipedia.org/wiki/Division_(mathematics)
"Any of these forms can be used to display a fraction. A fraction is a division expression where both dividend and divisor are integers (although typically called the numerator and denominator), and there is no implication that the division needs to be evaluated further. A second way to show division is to use the obelus (or division sign), common in arithmetic, in this manner:"
Find where it says that and it shows how fraction and division sign are interchangable
You are missing the point here, your problem is that you think that everything on the left of ÷ means that is a denominator, and that is not true...
beside, the subject is dead, you cant teach an old dog new trickts I guess.
Where in your link say that everything on the left and everything on the right of the symbe means it is a numerator and denominator.
Again
2 *3*4 ÷ 4*5*6 doesnt mean that everything is part of the division. only 4 ÷ 4 is part, everything else is not.
And yes you can turn ÷ into a fraction, 48÷2 can be turn to a fraction and in this case it would be 24, so not a fraction...
the problem is that (9+3) is not part of the division...
is like having 2 equation, you a division and a that division multiplied by a (9+3). the only way the result can be 2 is by adding another parenthesis.
48÷(2(9+3), in this case everything on the right of ÷ is part of the division...
Let me ask you this...
how much is this 1/2+3=??? if you say .2 then you are lost.. and nothing will change your mind...
if you say 3.5 then put the same principle to the original equation.
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