What Is The Answer To This Math Problem?

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What is the answer to this math problem?
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 Sylph.Tigerwoods
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By Sylph.Tigerwoods 2011-04-10 17:48:31
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The answer is 288 for sure
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 Pandemonium.Andypoole
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By Pandemonium.Andypoole 2011-04-10 17:48:50
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I'd get 2 if it was:

48÷[2(9+3)]

But I get 288 any other way.
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 Alexander.Xgalahadx
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By Alexander.Xgalahadx 2011-04-10 17:48:57
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Quetzalcoatl.Xueye said:
Multiplication and division go in l-> r order. One does not take priority.
Qft. I'm not sure why this is so hard to understand.
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 Asura.Karbuncle
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By Asura.Karbuncle 2011-04-10 17:49:17
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No but srsly, This guy makes me feel dumb with his awesome explanations.

Woozie said:


vs



Like I said, it has nothing to do with PEMDAS and everything to do with how you interpret the equation. It's not clear which of those are meant in the original expression. Normally, people would put an extra parenthesis in the equation if they meant the first one. But in handwritten math, people will often write the above two expressions the same way (as it is written in the original image).

(This is from the conversation had over at BG, I'm pretty much just stealing his awesome to post here.)
 Bahamut.Bojack
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By Bahamut.Bojack 2011-04-10 17:53:00
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It's 2. The Parenthesis should be dealt with first. 48 divided by 2 multiplied by 12 isn't the same thing as 48 divided by 2(12).

With 48 divided by 2 multiplied by 12 you just go from left to right and the answer is 288.

With 48 divided by 2(12) you wouldn't do the division before getting rid of the parenthesis. After the parenthesis are gone, then you finish the problem by going left to right. Doing 2(12) is the next step in the problem leaving with 48 divided by 24.

The answer is 2.
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 Quetzalcoatl.Xueye
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By Quetzalcoatl.Xueye 2011-04-10 17:53:07
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It has everything to do with PEMDAS. If you can't follow PEMDAS you will be unable to interpret how to do it o_O
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 Alexander.Xgalahadx
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By Alexander.Xgalahadx 2011-04-10 17:55:46
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Bahamut.Bojack said:
It's 2. The Parenthesis should be dealt with first. 48 divided by 2 multiplied by 12 isn't the same thing as 48 divided by 2(12).

With 48 divided by 2 multiplied by 12 you just go from left to right and the answer is 288.

With 48 divided by 2(12) you would do the division before getting rid of the parenthesis. After the parenthesis are gone, then you finish the problem by going left to right. Doing 2(12) is the next step in the problem leaving with 48 divided by 24.

The answer is 2.
Look up pemdas please.
During pemdas you take these steps.
1. Parenthesis
2. Exponets
3. Multiply and Divide. In left to right order.
4. Add and Subtract. In left to right order.
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 Quetzalcoatl.Xueye
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By Quetzalcoatl.Xueye 2011-04-10 17:56:43
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That's what most people don't get. MD and AS are the same step, as they are the same function
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 Alexander.Xgalahadx
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By Alexander.Xgalahadx 2011-04-10 17:57:13
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Yea It's sad.
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By kcunningham 2011-04-10 17:57:24
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It is most certainly 2. 48/2(9+3)even if you did the /2 first it would leave 24/(9+3). It is a denominator just cuz the 2 got divided out doesnt mean the 12 turns into a numerator.
 Leviathan.Phixion
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By Leviathan.Phixion 2011-04-10 17:58:05
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mathway.com
 Bismarck.Altar
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By Bismarck.Altar 2011-04-10 17:58:25
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Fairy.Spence said:
BEDMAS!!!!!

/RAAAAAAAAAAAAAAAAAGE!!!!

I'm not sure if this is a canadian thing or not, But I was thinking bedmas as well, and have no idea what this pemdas business is all about.
 Fenrir.Nightfyre
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By Fenrir.Nightfyre 2011-04-10 17:58:33
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Bahamut.Bojack said:
It's 2. The Parenthesis should be dealt with first. 48 divided by 2 multiplied by 12 isn't the same thing as 48 divided by 2(12).

With 48 divided by 2 multiplied by 12 you just go from left to right and the answer is 288.

With 48 divided by 2(12) you wouldn't do the division before getting rid of the parenthesis. After the parenthesis are gone, then you finish the problem by going left to right. Doing 2(12) is the next step in the problem leaving with 48 divided by 24.

The answer is 2.
No. The parenthesis rule in PEMDAS means you do the stuff inside the parenthesis. Once that's done, parenthesis like 2(12) are equivalent to 2*12, meaning that it really is 48/2*12.

As mentioned previously, ambiguous notation means the answer is unclear. I'd go with 288 given the problem as written but meh.
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 Sylph.Tigerwoods
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By Sylph.Tigerwoods 2011-04-10 17:58:41
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Bahamut.Bojack said:
It's 2. The Parenthesis should be dealt with first. 48 divided by 2 multiplied by 12 isn't the same thing as 48 divided by 2(12).

With 48 divided by 2 multiplied by 12 you just go from left to right and the answer is 288.

With 48 divided by 2(12) you wouldn't do the division before getting rid of the parenthesis. After the parenthesis are gone, then you finish the problem by going left to right. Doing 2(12) is the next step in the problem leaving with 48 divided by 24.

The answer is 2.
The P in pemdas isn't the parenthesis itself, its the terms inside the parenthesis. Other than that () is another term for multiplication when its next to something.

Once everything inside is added up/divided up etc etc, then its just another term for multiplying.

Edit: beaten
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 Bahamut.Bojack
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By Bahamut.Bojack 2011-04-10 18:04:06
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Yea I actually said 288 first lol. Like I said, I'm pretty rusty on the math. I was once actually quite good at math...like 9 years ago in grades 11 and 12 lol. The parenthesis thing kinda threw me off. In my head it's like I'm reading it like 48/(2x12)
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 Asura.Karbuncle
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By Asura.Karbuncle 2011-04-10 18:04:30
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More things to make me feel stupid while i read them
Someguy said:
In PEMDAS multiplication and division are considered the same rank. If you have multiple calculations of the same rank, you then decide priority by going left to right.

So, the (9+3) is highest priority, so you then have 48/2x12. The division has higher priority over multiplication now because it is to the left, so you then have 24x12. The correct answer is 288.

Elesirdur said:
See, this is the kind of thing you learn in elementary/secondary school but later on learn isn't that true. Woozie's explanation is bang on as the question itself is ambiguous using infix notation. Certainly to my knowledge, there's no "order of precedence" when reading an equation right to left or left to right, even with infix notation. Postfix or prefix notation solves that issue, but I gather those syntax systems are unknown outside of the fields computer science and mathematics.

Using your explanation Mellema would make teaching order of operations to grade-schoolers much easier. Much like how you get taught in high school chemistry that an atom is made up of a nucleus with some electrons orbiting around it like planets to a star. It's only when you get to your first-year chem class do you learn that explanation was right 80 years ago (and "untrue" today), but is still taught that way for the sake of simplicity.
 Sylph.Tigerwoods
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By Sylph.Tigerwoods 2011-04-10 18:09:26
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 Sylph.Tigerwoods
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By Sylph.Tigerwoods 2011-04-10 18:09:36
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Bahamut.Jetackuu said:
the answer is two.
lol
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 Alexander.Xgalahadx
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By Alexander.Xgalahadx 2011-04-10 18:13:08
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Bahamut.Jetackuu said:
48/2(9+3)

48/(18+6)

48/24

2

take some algebra
lol
 Bismarck.Maxse
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By Bismarck.Maxse 2011-04-10 18:16:22
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Bahamut.Jetackuu said:
48/2(9+3)

48/(18+6)

48/24

2

take some algebra

Take some preschool math.
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 Ifrit.Rikiyame
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By Ifrit.Rikiyame 2011-04-10 18:19:44
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 Asura.Daleterrence
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By Asura.Daleterrence 2011-04-10 18:22:08
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Why are people even arguing over this? I was doing this in school when I was 9. >.>
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 Sylph.Tigerwoods
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By Sylph.Tigerwoods 2011-04-10 18:22:16
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Bahamut.Jetackuu said:
48/2(9+3)

48/(18+6)

48/24

2

take some algebra
You didn't even follow the regular rules of pemdas, even if it was left to right.

You do what's IN the parenthesis first, lol.

Even if the answer was 2, if the question was "use pemdas to answer this problem", you'd have gotten it wrong
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 Ifrit.Zerovirus
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By Ifrit.Zerovirus 2011-04-10 18:23:40
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HOLY ***!
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 Sylph.Tigerwoods
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By Sylph.Tigerwoods 2011-04-10 18:28:32
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Bahamut.Jetackuu said:
48/2(9+3)

48/(18+6)

48/24

2

take some algebra
Another reason your answer is wrong.

Parenthesis don't carry over after you distribute.

2(9 + 3) = 18 + 6, not (18 + 6). The act of multiplying them would get rido of the parenthesis.

So you'd have

48/18 + 6

not
48/(18 + 6)
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 Shiva.Flionheart
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By Shiva.Flionheart 2011-04-10 18:30:39
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