# 48÷2(9+3)=?

##### New member
Devious, im glad i left all that crap behind

#### theklng

##### New member
4li3n said:
theklng said:
There are two sets of (9+3), not a half set of 48. Clearly this isn't going to help, so let me explain it another way. If the question wasn't 48 ÷ 2(9+3) and was instead 48 ÷ (9+3)^2 then we wouldn't have 16 because we have a squared set of brackets, not a squared overall answer. Similarly, we have two sets of (9+3) shown by having a 2 immediately outside of the brackets.
Actually dude as plenty of high schools do use 2(x+y) to mean 2*(x+y), and in the end the symbols themselves are just an agreed upon writing system neither interpretation is so much wrong then SH or an S with a ceddila being used for the same sound.
dude... you just quoted the wrong person.

##### New member
Ok let me put it this way.
You have
48÷2(9+3) witch means that 48 is divided by twice the result of the operation inside the brackets.
If it was (48÷2)(9+3) it would be a different case , but it's not.
Brackets can be expanded by a common multiplier in this case 2 , so it actually could be written like this 48÷(18+6) or hell it can even be 48÷6(3+1) and it would be the same thing.

I'm way too tired for this, so peace , I'm out.

#### bob1052

##### New member
theklng said:
stomping all over everyone's faulty answers: http://en.wikipedia.org/wiki/Reverse_Polish_notation

gonna edit this post to put in faulty answerer(erer)s:

TiefBlau said:
There is no ambiguity.

Division and multiplication are interchangeable operators and in the notation that we all use, it goes left to right. There's no argument about this. There just isn't any. It's like arguing over whether or not "you're" and "your" are different words. They just aren't. That's just the language we use, and no amount of semantic bullshit is going to change that.

wrong. brackets > division. check the wiki link.

No the problem is when it is written as shown here there is no ambiguity like with the other equation. What you really have after brackets have done which you have stated is 48÷2*12=288. In this case you solve the equation from left to right as division comes before multiplication so 48/2 = 24. Then 24*12= 288.
wrong. brackets are STILL more important than division, especially when it comes to multiplying into brackets. check the wiki link.
The 2 is not inside the bracket. You are wrong.

Solving the bracket involves evaluated the terms inside the brackets. The term placed next to the bracket is not a part of the bracket, it is implied multiplication. You evaluate those terms as if they had a multiplication sign between them, which has equal precedence as the division sign and as such you go left to right.

The answer is 288 and anyone who says otherwise does not understand the most basic of maths.

#### Emphasis

##### New member
Baron_Rouge said:
They say BODMAS over here in Aus, or that's what I was taught anyway. Going by that, it's 288. Brackets first, (9+3)=12. So it becomes 48/2(12), or 48/2x12 to put it another way. Whether division comes first or you do division/multiplication at the same time, left to right, it works out the same. 48/2=24. 24*12=288.
Thats kind of funny, because I also live in Australia, and I just sat 2 top level math exams for year 12 (last year of high school, next will be university ie. college)

We learn it this way: BIMDAS

Brackets, Indicies, Multiplication, Division, Addition, Subtraction.

My CASIO calculator tells me 2

My brain who earns me marks of atleast 70% in math tests tells me 2

Im sure its just a way people learn it, but as far as I can tell, the answer is 2..

I also cringe to read other posts that say 288 :[

#### roostuf

##### New member
ill be the first to admit that im retarded at maths but even i saw the flaw, it all reaaly depends on the equation you are using.

#### Thomas Rembrandt

##### New member
The Unworthy Gentleman said:
Nimcha said:
The Unworthy Gentleman said:
The 2 is a part of the brackets
Right, that's why it's outside of them. :O

Nice try, though.
Patronising, nice.

There are two sets of (9+3), not a half set of 48. Clearly this isn't going to help, so let me explain it another way. If the question wasn't 48 ÷ 2(9+3) and was instead 48 ÷ (9+3)^2 then we wouldn't have 16 because we have a squared set of brackets, not a squared overall answer. Similarly, we have two sets of (9+3) shown by having a 2 immediately outside of the brackets. Because it is immediately the equation cannot be rewritten as such:

48 ÷ 2 x (9+3)

but can be rewritten as this:

48 ÷ (9+3)2

It makes no difference to the way the equation works in the second form, but makes drastic changes to the way the equation works in the first one.
The Unworthy Gentleman said:
Nimcha said:
The Unworthy Gentleman said:
The 2 is a part of the brackets
Right, that's why it's outside of them. :O

Nice try, though.
Patronising, nice.

There are two sets of (9+3), not a half set of 48. Clearly this isn't going to help, so let me explain it another way. If the question wasn't 48 ÷ 2(9+3) and was instead 48 ÷ (9+3)^2 then we wouldn't have 16 because we have a squared set of brackets, not a squared overall answer. Similarly, we have two sets of (9+3) shown by having a 2 immediately outside of the brackets. Because it is immediately the equation cannot be rewritten as such:

48 ÷ 2 x (9+3)

but can be rewritten as this:

48 ÷ (9+3)2

It makes no difference to the way the equation works in the second form, but makes drastic changes to the way the equation works in the first one.
Um, 48 / (9 + 3)^2 would be 48 / (12 * 12) but not 48 / 12 * 12 .

48 / (1+1)^2 would be 48 / (2 *(1 +1)) but not 48 / 2 * 2 . See? As in 48 / 2*(9+3) ?

x / y *z is not the same as x / (y*z).

##### New member
The Unworthy Gentleman said:
Nimcha said:
The Unworthy Gentleman said:
The 2 is a part of the brackets
Right, that's why it's outside of them. :O

Nice try, though.
Patronising, nice.

There are two sets of (9+3), not a half set of 48. Clearly this isn't going to help, so let me explain it another way. If the question wasn't 48 ÷ 2(9+3) and was instead 48 ÷ (9+3)^2 then we wouldn't have 16 because we have a squared set of brackets, not a squared overall answer. Similarly, we have two sets of (9+3) shown by having a 2 immediately outside of the brackets. Because it is immediately the equation cannot be rewritten as such:

48 ÷ 2 x (9+3)

but can be rewritten as this:

48 ÷ (9+3)2

It makes no difference to the way the equation works in the second form, but makes drastic changes to the way the equation works in the first one.
Both answers are fine more brackets are needed it doesn't get much simpler than that. You can do the brackets first then do order of operation or the way you are doing it.

#### Baron_Rouge

##### New member
Emphasis said:
Baron_Rouge said:
They say BODMAS over here in Aus, or that's what I was taught anyway. Going by that, it's 288. Brackets first, (9+3)=12. So it becomes 48/2(12), or 48/2x12 to put it another way. Whether division comes first or you do division/multiplication at the same time, left to right, it works out the same. 48/2=24. 24*12=288.
Thats kind of funny, because I also live in Australia, and I just sat 2 top level math exams for year 12 (last year of high school, next will be university ie. college)

We learn it this way: BIMDAS

Brackets, Indicies, Multiplication, Division, Addition, Subtraction.

My CASIO calculator tells me 2

My brain who earns me marks of atleast 70% in math tests tells me 2

Im sure its just a way people learn it, but as far as I can tell, the answer is 2..

I also cringe to read other posts that say 288 :[
Hmmm...that is odd, given that I sat my top level year 12 maths exams as well, although in 2009...which state are you from? I'm in SA, maybe it's not standardised across the country.

#### imperialreign

##### New member
Sgt. Sykes said:
42 is the answer to life, the universe and everything. But not mathematics.

As far as math goes, every number equals 47.

http://www.47.net/47society/
Well, see, that's how I figure 42 - as mathematics doesn't fall into the categories of "Life" nor "the universe," it does fit quite nicely into the umbrella of "Everything." #### Henkie36

##### New member
Brackets have priority, but then you just have to do in which ever order it stands. So:
9+3=12
48/2=24
24*12=288

#### TheKwertyeweyoppe

##### New member
luke10123 said:
BODMAS
brackets of divide multiply add subtract.
that's maths for a ten year old I'm kinda sick of the people who come into this thread thinking it's simple maths and boasting about dumb we are while completely missing the point of the thread because I can only assume they didn't bother to read it.

#### Emphasis

##### New member
Baron_Rouge said:
Emphasis said:
Baron_Rouge said:
They say BODMAS over here in Aus, or that's what I was taught anyway. Going by that, it's 288. Brackets first, (9+3)=12. So it becomes 48/2(12), or 48/2x12 to put it another way. Whether division comes first or you do division/multiplication at the same time, left to right, it works out the same. 48/2=24. 24*12=288.
Thats kind of funny, because I also live in Australia, and I just sat 2 top level math exams for year 12 (last year of high school, next will be university ie. college)

We learn it this way: BIMDAS

Brackets, Indicies, Multiplication, Division, Addition, Subtraction.

My CASIO calculator tells me 2

My brain who earns me marks of atleast 70% in math tests tells me 2

Im sure its just a way people learn it, but as far as I can tell, the answer is 2..

I also cringe to read other posts that say 288 :[
Hmmm...that is odd, given that I sat my top level year 12 maths exams as well, although in 2009...which state are you from? I'm in SA, maybe it's not standardised across the country.
WA.. And to confirm this, we sit Math Specialist 3C/D and Math 3C/D exams.. However yours would have been different as this only came in a year ago, in 2010. Id say you would have done Calculus, G + T etc?

48/2(9+3)
= 48/2(12)
= 48/24
= 2

#### intheweeds

##### New member
well if it were a statement in java, the brackets resolve first, leaving you with:
48/2(12)
now you have division and multiplication left to resolve. Since they are equal in priority, they resolve left to right. So:

24*12 = 288

I would assume programming languages use the same math as math, but i haven't been in high school for a very long time, i wouldn't remember exactly.

#### Emphasis

##### New member

I am clever and am therefore correct and better than you.

Other half:

I am correct and better than you, here is the site that proves it:
www.Iamcorrectandbetterthanyou.com
Can you see how I am better than you now?

#### JoshGod

##### New member
The Unworthy Gentleman said:
48 ÷ (9+3)2

It makes no difference to the way the equation works in the second form, but makes drastic changes to the way the equation works in the first one.
There is something you are missunderstanding which is that the 2 and the (9+3) are not glued together, they do not have brackets around them, the problem is due to peoples misinterpretation with the divide, however if we rewrite the equation to change it all into multiplication it becomes clearer.
48÷2(9+3)
=48÷2*(9+3)
as ÷2 = *0.5
48÷2*(9+3)
=48*0.5*(9+3)
=48*0.5*12
=48*6
=288

##### New member
Emphasis said:
Baron_Rouge said:
They say BODMAS over here in Aus, or that's what I was taught anyway. Going by that, it's 288. Brackets first, (9+3)=12. So it becomes 48/2(12), or 48/2x12 to put it another way. Whether division comes first or you do division/multiplication at the same time, left to right, it works out the same. 48/2=24. 24*12=288.
Thats kind of funny, because I also live in Australia, and I just sat 2 top level math exams for year 12 (last year of high school, next will be university ie. college)

We learn it this way: BIMDAS

Brackets, Indicies, Multiplication, Division, Addition, Subtraction.

My CASIO calculator tells me 2

My brain who earns me marks of atleast 70% in math tests tells me 2

Im sure its just a way people learn it, but as far as I can tell, the answer is 2..

I also cringe to read other posts that say 288 :[
So? The problem is we need another set of brackets and even though I am in another country than you have a high aggregate mark in your knowledge makes that person more right I was right with going with standard order
• terms inside parentheses or brackets
exponents and roots
multiplication and division As they appear left to right
addition and subtraction As they appear left to right
The thing just needs more brackets so there can be no different interpretation.

#### ACman

##### New member
The question is algebraically written.

A = 48 ÷ 2(9 + 3)

Let (9 + 3) = x = 12

A = 48 ÷ 2x
= 48 ÷ 24
= 2

Or

A = 48 ÷ 2(9 + 3)
=48 x 1/(2(9 + 3))
=48/24
=2