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You keep breaking the 2 away from the () with that darn *. Why!? The * is not there in the first place!
You have a typo but I follow what you and everyone else who got 288 are doing - you just did the arithmetic from L to R. I get that. I did that oo, but the only difference is I didn't put a darn * after the 2.
You can't tell me that you would take a function like
2(9+3)=24
Which simply translates to
(2(9+3))/2 = 24/2
and break that into
2/2 * (9+3)/2 = 24/2 !?
One more - Riddle me this. if you let (9+3)=x, you get
48÷2(9+3) = 48÷2x
48÷2x ≠ 24x
48÷2x = 48/2x
I don't follow. Explain to me what you just said in function form
2(9+3)≠(2(9+3))
You keep breaking the 2 away from the () with that darn *. Why!? The * is not there in the first place!
You have a typo but I follow what you and everyone else who got 288 are doing - you just did the arithmetic from L to R. I get that. I did that oo, but the only difference is I didn't put a darn * after the 2.
Do you really not understand that
β÷ϑ(x) = β÷ϑ * (x) ?
Let's say you have 1÷2(9+3) and replace (9+3) with (x):
1÷2(9+3)
1÷2(x)
1/2(x)
.5(x)
.5(9+3)
.5(12)
6
------
Do the same here
48÷2(9+3)
48÷2(x)
48/2(x)
24(x)
24(9+3)
288
-------
The () make a difference. Go to google and type in 1/3pi and 1/3(pi). Notice you will get two different answers? 1/3(x) is not the same as 1/3x . Riddle Solved.
LOL! I've pretty much moved stuff on the left, to the right. Get it? That's why I tried to make the vertical thing and the line at the top. It's how I learned to do division.
Don't want to read through 20 pages of comments...
I have an Aerospace Engineering Degree from an ABET accredited University, and a Minor in Mathematics.
No offense, but those who got 288 do their math at a grade school level.
Substitue 2 for x, then solve it that way.
48÷2(9+3) =48÷x(9+3)
48÷x(9+3) =48÷9x+3x
48÷9x+3x=48÷12x
48÷12x=48÷12(2)
48÷12(2)=48÷24
=2
On a serious note, who ever came up with this poorly written equation deserves to be smacked in the face with a calculus book.
I'm going to blow some minds or **** some grade school mathematicians off by saying 12÷2÷2=12.
Put that in your pipe and smoke it.
Isn't that wrong?... I just did that in my head and got 24(12)=288.
That equation is middle school math... at least private school, where I learned.
If the teacher tought you that, he is making it harder than it actually is.
a÷bc = (a/b)c = a/bc, simply because you divide before you multiply here.
That's why the sign ÷ is never NEVER NEVER used in Algebra. The horizontal bar is the ONLY algebraic symbol ever used to indicate division in an algebraic expression.
Please explain why you do not divide before you multiply in the expression:
a_
bc
Why did YOU use parentheses in writing (a/b)c ? Because you HAVE to use parentheses, in order to distinguish it from a/bc. Without the parentheses, which even you said need to be there to clarify the problem, a÷bc IS the same as a_
bc
Parentheses, absolutely imperative for clarity, is what makes it different from 48÷2x9+3. (which would be 219, by the way, not 2, and not 288).
The simple truth is, if any engineer or mathemetician ever wrote an algebraic expressiin with a ÷ sign in it, without clarifying parentheses, it would be thrown back in his face with derision, and that is where the problem lies in trying to resolve this question. It's like somebody asking what the word "gawt" means in English, and running to 212 posts arguing about whether it is a verb or a noun, without ever addressing whether it is an acceptable English spelling of anything at all.
Last edited by jtur88; 07-03-2011 at 11:01 AM..
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