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Topic:
6÷2(1+2)= 1 or 9 ? [Locked] |
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Date Posted:
1/1/00 12:00am
Subject:
6÷2(1+2)= 1 or 9 ? |
Yukishiro1 posted:
The original notation in tenkly's title line is ambiguous. You don't know where the divided sign carries over to. As I said before, there's a reason one of the first things you're taught is not to write out equations that way but to actually use a numerator and denominator. That sign is only used in elementary division because of its ambiguity.
If you do your basic math properly, there is only one way to do this question.
After evaluating the parenthesis, you have 6÷2*3. There is only one way to evaluate this. 
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Yukishiro1  Posts: 3,243
Registered: 2002-9-20 23:52:57
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
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Yes, I get that's how we've decided to interpret bad, ambiguous notation. It's still bad, ambiguous notation.
It's stupidly awkward to have to designate whether something is in the denominator or numerator of a fraction by using a bunch of parentheses. There is a reason you don't actually write things that way when doing real math. Even a simple equation becomes a chore to write out and you end up with 4-5 sets of parenthses just to solve a relatively basic equation when they are totally unnessecary if you just do what you're supposed to do and actually write the fraction out properly so there's no ambiguity.
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Mastara Posts: 1,446
Registered: 2004-12-29 22:52:21
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
Your not even doing it right tenkly. Your turning a standard arithmatic problem into a factoring problem. The two are not the same.
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Cawlin Posts: 1,759
Registered: 2005-2-22 07:58:42
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
Yukishiro1 posted:
Yes, I get that's how we've decided to interpret bad, ambiguous notation. It's still bad, ambiguous notation.
It's stupidly awkward to have to designate whether something is in the denominator or numerator of a fraction by using a bunch of parentheses. There is a reason you don't actually write things that way when doing real math.
Um, "real" math is done by computers nowadays dude. You write it in one line.
Further, the whole use of extra parentheses was adopted to help reduce ambiguity from sloppy handwriting...
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Yukishiro1 Posts: 3,243
Registered: 2002-9-20 23:52:57
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
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Uh using your stupid notation even a basic equation like old:
p ....... r+5
_____ x ____
q+3 .... s-2
becomes ridiculously difficult. You have to write something absolutely stupid like (p/(q+3))((r+5)/(s-2)).
edit: worthless boards don't allow for good formatting so I had to put in some dots to fill space.
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
Amazingly, those symbols exist to clear up what you say is ambiguity.
I don't dispute that if you change the equation, or write it as a fraction, you get a different answer. The equation as written can only be interpreted one way.
What do I know, I've only taken the equivalent of 11 different post secondary math courses.
Actually it's 13 now that I count. Apparently all those courses didn't help me count any better.
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Cawlin Posts: 1,759
Registered: 2005-2-22 07:58:42
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
Yukishiro1 posted:
Uh using your stupid notation even a basic equation like old:
p ....... r+5
_____ x ____
q+3 .... s-2
becomes ridiculously difficult. You have to write something absolutely stupid like (p/(q+3))((r+5)/(s-2)).
edit: worthless boards don't allow for good formatting so I had to put in some dots to fill space.
It's not "my" notation. It's just the syntax of the language. In the case of math and just about every other language, syntax carries meaning. If you get the syntax wrong, you miss the meaning.
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If ignorance were painful, half the posters here would be on morphine drips.
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__Bonk__  Posts: 5,122
Registered: 2009-7-25 03:04:52
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
Its easy when you know the rules. I was taught those rules years ago but I forgot them lol
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Lyken-P  Posts: 453
Registered: 2006-1-14 18:41:19
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
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Yukishiro1 Posts: 3,243
Registered: 2002-9-20 23:52:57
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
Eternal_Midnight posted:
What do I know, I've only taken the equivalent of 11 different post secondary math courses.
Actually it's 13 now that I count. Apparently all those courses didn't help me count any better.
And none of them taught you not to use that notation because it's stupid and results in dumb amounts of parentheses to just clear up something as simple as what's on top of a fraction and what's on the bottom?
I find that unlikely. Or maybe they just really didn't do that back when you went to school in the middle ages.
edit: It really is just poor notation. To express even a problem of moderate complexity you end up using 4-5 sets of parentheses. At that point simply trying to match up sets of parentheses becomse a chore. Whereas if you use real notation using real numerators and denominators you end up with something that is crystal clear what you are trying to express.
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