solve this problem

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Re: solve this problem

Postby Genoisawesome on Thu Apr 28, 2011 10:00 pm

Yeah, I realized that after I hit post so I thought I might as well keep in my fuck up, just so people could see how easy it would be to mess it up... Then I remembered about the distributive property :P
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Re: solve this problem

Postby NotChaosUnown on Thu Apr 28, 2011 10:01 pm

I would love to see someone cross-post this topic over to AiJ
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Re: solve this problem

Postby Genoisawesome on Thu Apr 28, 2011 10:02 pm

NotChaosUnown wrote:I would love to see someone cross-post this topic over to AiJ


on it
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Re: solve this problem

Postby Vashen on Thu Apr 28, 2011 10:16 pm

T-Dog! wrote:maybe the PEMDAS acronym should be amended to DFPEMDAS, meaning Distribute First, then Parenthesis Exponents Multiplication/Division (left to right) Addition/Subtraction (from left to right)


Where are you getting this from? Distributing is simply multiplication, it doesn't take precedence over what is inside the parentheses.
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Re: solve this problem

Postby Genoisawesome on Thu Apr 28, 2011 10:16 pm

Genoisawesome wrote:
NotChaosUnown wrote:I would love to see someone cross-post this topic over to AiJ


on it


http://aaronin.jp/boards/viewtopic.php?p=426845
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Re: solve this problem

Postby T-Dog! on Thu Apr 28, 2011 10:20 pm

Vashen wrote:
T-Dog! wrote:maybe the PEMDAS acronym should be amended to DFPEMDAS, meaning Distribute First, then Parenthesis Exponents Multiplication/Division (left to right) Addition/Subtraction (from left to right)


Where are you getting this from? Distributing is simply multiplication, it doesn't take precedence over what is inside the parentheses.


actually, it does. http://www.algebra.com/algebra/homework ... 49847.html

if i can find a more credible site (like a .org or .edu, as opposed to a .com, ill edit and repost)
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Re: solve this problem

Postby TYLR on Thu Apr 28, 2011 10:21 pm

T-Dog! wrote:
Genoisawesome wrote:DISTRIBUTIVE PROPERTY MOTHER TRUCKERS

6/2(1+2) = 6/(2+4) = 6/6 = 1


we have a loser.


Sorry. http://mathforum.org/library/drmath/view/66676.html

Dr. Math wrote:The order of operations tells us what an expression MEANS: if we
follow the rules, we will correctly evaluate the expression.

Properties like the distributive property tell us how we can REWRITE
an expression without changing its value.


The distributive property neither contradicts nor trumps the order of operations. By not properly following the order of operations, you're incorrectly evaluating the expression by inappropriate use of the distributive property. The order of operations states that what's inside the parentheses is to be calculated first, yielding 6/2(3), which, by the associative property, is the same as 6/2*3, (6/2)3, or even 6(1/2)3. Everything inside those parentheses is to be treated as a single number. The distributive property is a tool for calculating that single number, but it fails in this situation due to what's in front of the 2. Since 6/2(1+2) is the same as 6/2*(1+2), and (1+2) is the same as 3, this is also the same as 6/2*3, which association tells us can be rewritten as 3*6/2, because there are no parentheses grouping the 2*3. Dividing anything by 2 is the same as multiplying it by (1/2), by the distributive property, so we can even rewrite it as (1/2)*6*3, or (6*3)/2, or (6(1+2))/2. It always comes out to 9, no matter how you write it, as long as you follow all the rules correctly.

T-Dog, notice how in the example you linked, there's no "6/" in front of the 10. That makes a difference, because you'd have to distribute not 10, but 6/10, or 0.6.
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Re: solve this problem

Postby Vashen on Thu Apr 28, 2011 10:21 pm

T-Dog! wrote:
Vashen wrote:
T-Dog! wrote:maybe the PEMDAS acronym should be amended to DFPEMDAS, meaning Distribute First, then Parenthesis Exponents Multiplication/Division (left to right) Addition/Subtraction (from left to right)


Where are you getting this from? Distributing is simply multiplication, it doesn't take precedence over what is inside the parentheses.


actually, it does. http://www.algebra.com/algebra/homework ... 49847.html


Oh, you included a link now. Guess what happens if you solve that problem by solving inside the parentheses first? That really has nothing to do with the order of operations or the problem in the OP.
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Re: solve this problem

Postby NotChaosUnown on Thu Apr 28, 2011 10:22 pm

You know so far, people on AiJ are being a lot more flexible with this topic than on here.
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Re: solve this problem

Postby Genoisawesome on Thu Apr 28, 2011 10:23 pm

NotChaosUnown wrote:You know so far, people on AiJ are being a lot more flexible with this topic than on here.


Im actually suprised... Well then again Little Matt hasnt posted in the topic
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Re: solve this problem

Postby TYLR on Thu Apr 28, 2011 10:28 pm

Genoisawesome wrote:
NotChaosUnown wrote:You know so far, people on AiJ are being a lot more flexible with this topic than on here.


Im actually suprised... Well then again Little Matt hasnt posted in the topic


Little Matt hasn't learned about parentheses in school yet.

...But then, it looks like some of you might be in the same boat.
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Re: solve this problem

Postby NotChaosUnown on Thu Apr 28, 2011 10:32 pm

NotChaosUnown wrote:impending flame war and questions of one's education

Looks like my Future Sight is super effective.
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Re: solve this problem

Postby Vashen on Thu Apr 28, 2011 10:37 pm

NotChaosUnown wrote:
NotChaosUnown wrote:impending flame war and questions of one's education

Looks like my Future Sight is super effective.


Do you think the stuff you post is clever? I'm honestly curious.
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Re: solve this problem

Postby NotChaosUnown on Thu Apr 28, 2011 10:39 pm

I dunno, do you think you're a good troll? I'm honestly curious.
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Re: solve this problem

Postby T-Dog! on Thu Apr 28, 2011 10:42 pm

so, what is the main consensus then? does the distributive property only take precedence over PEMDAS if the terms inside the parenthesis cant be combined easily? [i.e (1+2) is 3, which is simplified, but (1+x) is 1+x, which is not simplified]

basically, if all terms inside parenthesis can be simplified, do you just follow straight PEMDAS (left to right)?
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