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-   -   48/2(9+3) (https://www.graalians.com/forums/showthread.php?t=9261)

Talon 08-08-2012 03:27 AM

48/2(9+3)
 
Curious about Graalians' take on this. Every forum I've asked this on (6Theory, HackForums, Head-Fi) has been split around 50/50.

PHP Code:

48÷2(9+3) = ? 

Solve the equation.

DragonRider 08-08-2012 03:33 AM

9+3= 12
48/2= 24
24x12= 288

HappyCat123 08-08-2012 03:36 AM

hmmmm. 2.

Talon 08-08-2012 03:37 AM

Poll added.

Dusty 08-08-2012 03:43 AM

48÷2(9+3) = ?

48 / (2*9 + 2*3) = ?
48 / (18 + 6) = ?
48 / 24 = 2

At least, that's how I remember it in math, but I always had a hard time with the subject. But as far as I know, distributive property and order of operations plays a key part in a problem like this.

Pimpsy G. 08-08-2012 03:45 AM

Order of operations people. It's 2. You distribute the parentheses first, making it 42/24. Which is 2. I don't see how this is controversial.

Rexx 08-08-2012 03:45 AM

I don't see why you would distribute if you're following order of operation.
@Pimpsy Order of operations doesn't tell you to distribute.

Pimpsy G. 08-08-2012 03:47 AM

Quote:

Posted by Rexx (Post 176217)
I don't see why you would distribute if you're following order of operation.

Because parentheses allways come first?

Talon 08-08-2012 03:52 AM

Here's how I solved it.

48÷2(9+3) = ?
48÷2(12) = ?
24(12) = ?
288

@Pimpsy: its so controversial around the internet due to people around the world being taught different order of operation methods. Some people stay strict to PEMDAS and do it in that order, which leads to an answer of 2. Other people follow another version of PEMDAS which states the operations in the groupings MD and AS have no precedence over each other, and should be taken out left to right. That method will lead you to 288.

That's why I'm so curious on everyone's take. Please vote in the poll everyone.

Blueh 08-08-2012 04:00 AM

PLEASE EXCUSE MY DEAR AUNT SALLY! Or whatever nursery rhyme they taught you in math class. Yes, PEMDAS like you said ^

Pimpsy G. 08-08-2012 04:02 AM

Quote:

Posted by Talon (Post 176220)
Here's how I solved it.

48÷2(9+3) = ?
48÷2(12) = ?
24(12) = ?
288

@Pimpsy: its so controversial around the internet due to people around the world being taught different order of operation methods. Some people stay strict to PEMDAS and do it in that order, which leads to an answer of 2. Other people follow another version of PEMDAS which states the operations in the groupings MD and AS have no precedence over each other, and should be taken out left to right. That method will lead you to 288.

That's why I'm so curious on everyone's take. Please vote in the poll everyone.

It's not controversial, you did it wrong still. 48/2(12) still has 2*12 as the dominating factor. Your other version is incorrect. Multiplication allways takes dominance, you can't have two different answers, that's a fact.

Talon 08-08-2012 04:04 AM

But why is 2*12 still the dominating factor?

iHot 08-08-2012 04:04 AM

Oh I remember in 5th grade they told us
P.E.M.D.A.S
Please Excuse My Dear Aunt Sally (LOL)
Parentheses Exponents Multiply Divide Add Subtract=PEMDAS.

Now breaking down the equation
48÷2(9+3)
First add whats in the parentheses. Your equation should look like this.
48÷2(12)
Now Divide. Equation should look like this.
24(12)
Multiply.
288 is the answer.

Pimpsy G. 08-08-2012 04:05 AM

Quote:

Posted by Talon (Post 176225)
But why is 2*12 still the dominating factor?

PEMDAS M>D. Thats it. Theres no alternate version that favors left to right since that would result in multiple impossible answers like this. End of thread. The answer is two.

Talon 08-08-2012 04:07 AM

I was taught differently, that M=D and should be done in chronological order. Matlab and Python both output 288, a Texas calculator I own outputs 2, but another revision of the same Texas calculator outputs 288.


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