6÷2(1+2)

Post » Sat May 28, 2011 11:31 am

I have, but multiplication by juxtaposition as in 3(2) versus 3*2 has been valued differently in the order of operations in my experience. With the former being higher than the latter, and the latter being on par with division and read left to right (obviously).

What rule says you do 2*3 first? It looks like people are making problems more difficult than it needs to be.

6/2(1+2) = 6(1/2)(1+2) = 9
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Lewis Morel
 
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Post » Sat May 28, 2011 6:22 pm

Oh great. Now I'm an "it".

Is that you, Shale?

Nope, this is my only account.
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Karen anwyn Green
 
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Post » Sun May 29, 2011 1:29 am

If an expression (or an equation) is written properly (which this one is) and one can't see where an operator begins and ends, I'd say that the one svcks at maths.

It's preferred, at least where I've been taught, that the beginning and end of an operator is stated in a clear way. That is, it can be interpreted by anyone without misinterpretations. By writing say 1/2x, which I do see around the web, someone outside of the writer's mind might interpret it as 0.5*x, another 1/(2x), when the writer himself meant the latter. That's why it's important to clearly state where an operator begins and ends.
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Nicole Mark
 
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Post » Sat May 28, 2011 11:49 am

Nope, this is my only account.

http://dragonage.wikia.com/wiki/Shale


edit:
It's preferred, at least where I've been taught, that the beginning and end of an operator is stated in a clear way. That is, it can be interpreted by anyone without misinterpretations. By writing say 1/2x, which I do see around the web, someone outside of the writer's mind might interpret it as 0.5*x, another 1/(2x), when the writer himself meant the latter. That's why it's important to clearly state where an operator begins and ends.

It's preferred, at least where I've been taught, that people be taught how to properly read and interpret arithmetical expressions and equations. If someone misunderstands what "6÷2(1+2)" or "1/2x" is supposed to mean then it is his/her fault, not the writer's. Unless, of course, the writer him-/herself meant something different than what (s)he has written actually means, in which case they're both idiots.
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Jessica Raven
 
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Post » Sat May 28, 2011 5:18 pm

Why didn't you strike out "vast" instead of "hateful"? :stare:

:P

I struck out both, now you're just "the shape". :thumbsup:
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Matt Fletcher
 
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Post » Sat May 28, 2011 10:17 pm

Why didn't you strike out "vast" instead of "hateful"? :stare:

:P

It's not their fault your car has a giant television with a dancing Alizee playing on the screen mounted on it.
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Rozlyn Robinson
 
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Post » Sat May 28, 2011 2:08 pm

I got 9 and I forgot how to do anything but basic math, so obviously the simplest answer is correct!
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lisa nuttall
 
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Post » Sat May 28, 2011 1:38 pm

I got 9 and I forgot how to do anything but basic math, so obviously the simplest answer is correct!

Anyone have Occam's Razor I can borrow to /wrists with it?
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Suzy Santana
 
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Post » Sun May 29, 2011 1:55 am

9 init
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dell
 
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Post » Sat May 28, 2011 10:07 pm

PEMDAS says it's 9

Multiplication doesn't trump division, you go left to right.
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Franko AlVarado
 
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Post » Sat May 28, 2011 4:17 pm

It's obviously 1 :huh:

6/(2(1+2))

if you do this: (6/2)(1+2) then you should seriously consider going back to maths 101
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saxon
 
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Post » Sat May 28, 2011 10:35 am

It's obviously 1 :huh:

6/(2(1+2))

if you do this: (6/2)(1+2) then you should seriously consider going back to maths 101

You added a parenthesis.
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Albert Wesker
 
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Post » Sat May 28, 2011 11:19 pm

This thread should be continued and the next issue should be whether there are more rational or natural numbers. :meh:

Also, Exo, the only way that could've been blunter is if your avatar was a brick. edit: But, credit where it's due, people obviously fell for it.
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Melung Chan
 
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Post » Sat May 28, 2011 10:35 pm

It's obviously 1 :huh:

6/(2(1+2))

if you do this: (6/2)(1+2) then you should seriously consider going back to maths 101

:facepalm:

You can't just throw parenthesis around 2(1+2).

6/2(1+2)
6/2(3)
Then. By order of operations you get:
3(3)
9
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..xX Vin Xx..
 
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Post » Sat May 28, 2011 1:43 pm

It's obviously 1 :huh:

6/(2(1+2))

if you do this: (6/2)(1+2) then you should seriously consider going back to maths 101


6 / 2(1+2)
= 6 / 2(3) or [6 / 2 * 3]
= 3(3)
= 9
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sarah simon-rogaume
 
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Post » Sat May 28, 2011 7:53 pm

This thread should be continued and the next issue should be whether there are more rational or natural numbers. :meh:

Smurf that. Lets go REALLY crazy and use Imaginary numbers.
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April D. F
 
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Post » Sat May 28, 2011 8:24 pm

Smurf that. Lets go REALLY crazy and use Imaginary numbers.

Nah, let's have a debate about whether math is just all human crap or functionally real no matter what symbols we use.
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biiibi
 
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Post » Sat May 28, 2011 8:01 pm

You added a parenthesis.

I did that intentionally

You always remove all parenthesis before doing multiplication and division, therefore you must do 2(3) first and not 6/2
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Judy Lynch
 
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Post » Sat May 28, 2011 1:13 pm

Smurf that. Lets go REALLY crazy and use Imaginary numbers.

How exactly would you "use" them? You mean the issue should be whether there are more real or complex numbers?


edit: Exo, if you're serious....

http://4.bp.blogspot.com/_L7JSg_nsDxw/TDt8b3eDPKI/AAAAAAAADfU/JVwZxSiswWw/s400/RageFace.png
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jessica breen
 
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Post » Sat May 28, 2011 5:02 pm

The answer is indisputably 9, unless you are using a non-standard order of operations. The reason this problem gives people trouble is that they multiply numbers outside of parenthesis, but next to them, with an increased priority. You DO NOT divide 2 by (1+2) before dividing 6 by 2. Period. There is no wiggle room. PEMDAS works, as long as you remember that multiplication=division, and addition=subtraction. When two operations have equal priority, the priority is determined by left to right.

http://www.wolframalpha.com/input/?i=6%C3%B72%281%2B2%29


Explained perfectly.
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ANaIs GRelot
 
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Post » Sat May 28, 2011 7:49 pm

How exactly would you "use" them? You mean the issue should be whether there are more real or complex numbers?


edit: Exo, if you're serious....

http://4.bp.blogspot.com/_L7JSg_nsDxw/TDt8b3eDPKI/AAAAAAAADfU/JVwZxSiswWw/s400/RageFace.png

http://dl.dropbox.com/u/5459839/Photos/images.jpg
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Shelby Huffman
 
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Post » Sat May 28, 2011 7:06 pm

How exactly would you "use" them? You mean the issue should be whether there are more real or complex numbers?

I just remember working with Imaginary Numbers back in HS. It was terrible.
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Verity Hurding
 
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Post » Sat May 28, 2011 1:11 pm

I just remember working with Imaginary Numbers back in HS. It was terrible.

The only problem I've got is the name itself - "imaginary". As if other numbers are not imaginary. But that is a discussion for a different thread.
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jenny goodwin
 
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Post » Sat May 28, 2011 7:14 pm

Yay, math!
There's no conclusive answer because of the bad syntax in "6÷2(1+2)".

This is the only answer I can agree with.
We do not know the answer because the equation is not written correctly.

It's not bad syntax, it's proper syntax. Redundant parenthesis are not proper. There is only one way to properly interpret the given computation, and adding any more parenthesis would either change the meaning, or be redundant.

Disagreed. Parenthesis would not be redundant. I think the problem lies with the fact that some people believe that you should work from left to right. But I disagree on that.
An equation should be solvable in any order.

x*y = xy
xy = yx (commutativity)
So, in the case: 6 / (2(1+2)) we are allowed to switch (2(1+2)) with this ((1+2)2). Its the same, right?
In the case (6 / 2)(1+2) we are allowed to switch (6 / 2)(1+2) with (1+2)(6 / 2). Its the same, right?
The parenthesis tell you what you may commute and what not.

Since 6 / 2(1+2) does not contain any parenthesis that prohibit me from commuting 2(1+2), I should be able to do so. 6 / (1+2)2
And, we can all see that if we do so, following the left-to-right method does no longer work.
So I would say, that by these rules, if you would follow Veeno's rules, you're just placing imaginary parenthesis to help you out. Thus they are not redundant.

There is also a proof using binary trees. I wont draw it out, but it concludes that you can not write binary tree that contains the equation 6 / 2(1+2). It will either be 6 / (2(1+2)) or (6 / 2)(1+2)
(If you are willing to except that any valid equation can be writtin in a binary tree form)

Now, I would like to mention a few things.
1) Is commuting even a word? I just hope you all get me.
2) This is the view of a first year Computer Science student. Its all based that on the rule "An equation should be solvable in any order." we learn.
3) I will now hide from the wrath of Veeno

*Goes of running into the dark night, hoping he will not be found*
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Charlotte Buckley
 
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Post » Sat May 28, 2011 3:48 pm

The only problem I've got is the name itself - "imaginary". As if other numbers are not imaginary. But that is a discussion for a different thread.

Aren't they called "imaginary" because they don't really make any sense. I mean, how can you square something and get a negative, unless you're already squaring a negative. And negatives can't exist I think, I dunno...I hate math.
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Tiffany Carter
 
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