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I said it doesn't solve the ambiguity, and people robotocally regurgitate a left to right rule without understanding the origins of it and without doing enough thinking, which as the author explains is not such a great idea. I'm agreeing with the author that it's not such a great idea.
C0bzz
reply to post by Arbitrageur
You keep stating that solving the problem left-to-right is incorrect, you reach this conclusion because you did not read your own source properly.
My point is that when you try to convert divide by c to multiply by 1/c, you still don't know whether c is 2, or whether c is 2(9+3), and if you're trying to pick one or the other, there are a lot better reasons to pick the 2(9+3), but at best it's still ambiguous. As the Berkeley author stated the left-to-right rule is of questionable value to more advanced students, and several things are better as already mentioned when they are understood, though they are not universally accepted (like multiplication before division in physics journals, or implied before explicit multiplication, which would lead you to define "c" as 2(9+3) when you choose to multiply by 1/c as an equivalent expression).
Division is not the same as multiplication in that regard, changing which way it is read does tend to change the answer unless you change division by c with a multiplication by (1/c).
It's not apparent to me you read the opening post, where I explained why in some physics journals the answer is unambiguously 2.
3mperorConstantinE
I can't believe that this question even made it to the internet.
288
We really do live in that universe where the movie “Idiocracy” becomes a true story.
Still, S&F for the thread~
—Mathematical Physicist
roadgravel
I have to go with what the majority of computer software does. If it were obvious wrong then it would get changed.
I keep finding refs to multiplication and division being of equal precedence.
i.e. 1/2x = 1÷2x ~being either~> (½)x ~or~> 1÷(2x).
NullVoid
reply to post by 3mperorConstantinE
i.e. 1/2x = 1÷2x ~being either~> (½)x ~or~> 1÷(2x).
From my rustic algebra..
i.e. 1/2x = 1÷2x = 1/(2x)
if I want this (½)x I would write it as (1/2)/x
Less beautiful than yours but look, you even have the () thrown in, just like mine.
Again, we have to accept this:
So, it should be written as either (48/2)(9+3) or 48/(2(9+3)) so as to remove all ambiguity.
Ok, I think we got the solution, so both proponents are wrong, the correct one should be as above.
The equation is wrong and ambiguous, to correctly arrive at 288 or 2, we have to put (), no matter which side you are fighting, you have to put (). The position then will determine either 288 or 2.
Now, who the goddamn person who so lazy to put () in the first place ? I got my pitchfork, burn all witches and their false teaching!
MrInquisitive
Hmm, in Spotlight on Mac OS X 6.8
48/2(9+3)=2
but 48/2*(9+3)=288
In Unix terminal using bc, the top expression yields a parse error, which makes some sense as Unix generally doesn't accept implied stuff
x/y(z+a) simplified =MAY EQUAL= (2) ~OR~ (288)
Arbitrageur
Here is the same formula 48/2(9+3) typed in two calculators from Texas Instruments, the TI-85 and the TI-86, and the answers are different:
GetHyped
reply to post by Korg Trinity
How Excel interpretations forumulas is completely non-standard and application-specific.