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Topic:
6÷2(1+2)= 1 or 9 ? [Locked] |
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
Yukishiro1 posted:
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. 
Nope, not once was it ever said "Don't use this symbol! It confuses people!' because it doesn't.
It's a division sign. You divide what is before the sign by what is after it.
What is beautiful about math is that there isn't any ambiguity whatsoever, because the rules of math exist to interpret the symbols in exactly the same way no matter who does it. I also never heard of this 'implied multiplication' some other people speak about.
You might think it's dumb to have to write extra parentheses, but that's what you have to do to get the equation and answer you need. You can't just interpret it the way you think it was 'intended', you can only interpret it as it is written.
If you think having to write a few extra parentheses makes it confusing, you should see the symbols of used in mathematical proofs. Do a couple of those and you'll be longing to be able to write just a couple parentheses.
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We have not inherited the Earth from our parents, we have borrowed it from our children.
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the_great_intex Title: This is what cool looks like
Posts: 1,669
Registered: 2002-6-27 08:18:27
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
Hold on guys while I contact some scientists to solve this for us
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In the middle of difficulty lies opportunity
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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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Maybe I need to try again.
You can either use a notation system which requires 4-5 sets of parentheses to express even a moderately complex equation because you refuse to use numerators and denominators.
Or you can use a system which barely ever requires more than one set of parentheses to express a moderarely complex equation, because you actually use numerators and denominators.
It is pretty clear the latter is better. I am honestly shocked you were never taught that. You were seriously doing problems along the lines of
((2(2+3(3/7)))(7))(76/2(4-8(7/3)))
When you could have just written them out sensibly instead? I can't imagine how much time you all wasted just trying to decode parentheses that were completely unnesecary if you had just used more sensible notation to begin with. In fact, I can't imagine how you would even solve any variable equations you wrote out that way by hand. It would be so, so much more clumsy than using more conventional numerators and denominators to indicate your fractions instead of division symbols with tons of extra parentheses.
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Sansfear Posts: 757
Registered: 2008-8-31 05:04:52
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
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I'd like to see someone write out physics equations in a straight line without a numerator and a denominator and then try and solve it.
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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 ? |
Sansfear posted:
I'd like to see someone write out physics equations in a straight line without a numerator and a denominator and then try and solve it.
NO MAN EINSTEIN TOTALLY WOULD HAVE PREFERRED TO WRITE THINGS OUT IN ONE LINE AND USE A BAJILLION PARENTHESES INSTEAD!111
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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 ? |
You guys are cute.
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If ignorance were painful, half the posters here would be on morphine drips.
Everyone playing WoW knows everything about playing two classes: 1) their own and 2) Hunters
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
It's not a matter of convenience, or how easy it is to write out. This is a math problem, not a work of art. If you are doing fractions, then WRITE IT AS A FRACTION. You don't use the division sign if you intended a fraction.
And if you were writing the equation into code or Excel, that's exactly how you'd have to write it, or you'd get an incorrect answer. Computers don't do ambiguity, either.
By the way, your equation:
((2(2+3(3/7)))(7))(76/2(4-8(7/3)))
would actually be written like this:
{{2[2+3(3/7)]}(7)}{76/2[4-8(7/8)]}
Parentheses are used first (), then braces [], then brackets {}. It is precisely this reason that pretty much all programming languages match opening and closing brackets for you, as does Excel, because sometimes it's necessary to extensively nest them.
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We have not inherited the Earth from our parents, we have borrowed it from our children.
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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:
If you are doing fractions, then WRITE IT AS A FRACTION. You don't use the division sign if you intended a fraction.
...
...
/facepalm
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Date Posted:
1/1/00 12:02am
Subject:
6÷2(1+2)= 1 or 9 ? |
Just because people typing on computers play it fast and loose with symbols doesn't change their meaning, nor does it change the fundamental rules of math.
When you do math on paper, you write and interpret the equations as they are written. Clearly, you wouldn't write out a bunch of brackets for a fraction: you'd write a fraction.
We have to use those brackets here in this medium because it's not easy to write out an exact fraction, and the brackets and braces are used to remove ambiguity that arises from the medium.
Which brings it back to my point: you can only interpret the problems as they are written.
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We have not inherited the Earth from our parents, we have borrowed it from our children.
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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 ? |
Eternal_Midnight posted:
I also never heard of this 'implied multiplication' some other people speak about.
This link describes what I was trying to describe above:
http://knowyourmeme.com/memes/48293
KYM posted:
Implied Multiplication
However, the answer 2 could be justified by the principle of implied multiplication. For example, consider the problem "2/5x."
If one strictly follows the standard order of operations, the correct interpretation would be “(2/5)*(x).â€
But many calculators and textbooks state that a higher value of precedence should be placed on implied multiplication than on explicit multiplication:
Because “5x†is implied to be "5*x," it gets higher priority than "2/5." In this case, "2/5x" would be interpreted as "(2)/(5*x)."
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If ignorance were painful, half the posters here would be on morphine drips.
Everyone playing WoW knows everything about playing two classes: 1) their own and 2) Hunters
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