48÷2(9+3) = ??

imirk wrote: I say it is 288 becarze: you cannot distribute the 2(9+3) without first dealing with the division sign so you get 48/2(9+3)=24(9+3)=216+72=288

Not to nitpick, but you messed that up.

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

Treating the (9+3) as it's own entity as you did (even out of order ) gets you that.

Problem is you just made a fraction as your starting problem.

92CelicaHalfTrac wrote:

imirk wrote: I say it is 288 becarze: you cannot distribute the 2(9+3) without first dealing with the division sign so you get 48/2(9+3)=24(9+3)=216+72=288

Not to nitpick, but you messed that up. 48/2(9+3) = 24/(9+3) = 24/12 = 2

Huh?

Where did you get the 24? Answer: you did 48/2. The "/" is gone. You have 24*(9+3)

lol ok not being a lazy arse and whipping out the charmap:

48÷2(9+3)=24(9+3)=216+72=288

vs.

48÷2(9+3)=48÷(18+6)=48÷24=2

imirk wrote: I say it is 288 becarze: you cannot distribute the 2(9+3) without first dealing with the division sign so you get 48/2(9+3)=24(9+3)=216+72=288

Argh! If you write it like that you've taken all the ambiguity out and then done exactly the wrong thing. You would never, ever evaluate 42/2(9+3) as (42/2)(9+3), which is equivalent to ((42)(9+3))/2. That's something completely different. (Again, 42/2x ≠ (42/2)x !!) If you write it as 42/2(9+3) what you actually have is, 42/(2(9)+2(3)) = 42/(18+6) = 42/24 = 2.

There can be no questions!

...

both answers are right it's just how you write the original equation...and in this case it's 288, don't make me get the youtube videos!

http://www.youtube.com/watch?v=bwpWw-iVKHc

mtn wrote:

92CelicaHalfTrac wrote:

imirk wrote: I say it is 288 becarze: you cannot distribute the 2(9+3) without first dealing with the division sign so you get 48/2(9+3)=24(9+3)=216+72=288

Not to nitpick, but you messed that up. 48/2(9+3) = 24/(9+3) = 24/12 = 2

Huh? Where did you get the 24? Answer: you did 48/2. The "/" is gone. You have 24*(9+3)

You can totally do that. He simplified the fraction by evaluating the numerator by one multiplicand in the denominator. The "/" goes nowhere at all because the rest of the denominator stays where it is. It's the same thing as

8        4
----- = ---
2×3     3

Jay wrote:

mtn wrote:

92CelicaHalfTrac wrote:

imirk wrote: I say it is 288 becarze: you cannot distribute the 2(9+3) without first dealing with the division sign so you get 48/2(9+3)=24(9+3)=216+72=288

Not to nitpick, but you messed that up. 48/2(9+3) = 24/(9+3) = 24/12 = 2

Huh? Where did you get the 24? Answer: you did 48/2. The "/" is gone. You have 24*(9+3)

You can totally do that. He simplified the fraction by evaluating the numerator by one multiplicand in the denominator. It's the same thing as 8        4 ----- = --- 2×3     3

Ah. Fractions vs. division (which are the same thing), and it leads us back to the original question.

all this is making my brain do the dougie haha

NickF40 wrote: both answers are right it's just how you write the original equation...and in this case it's 288, don't make me get the youtube videos!

Both answers could be right if you wrote the original question as 48 ÷ 2 × (9+3). The way it is written, 48 ÷ 2(9+3), the only right answer is 2.

The way I was told, by my math teacher, was switched from what you said.

Jay wrote:

NickF40 wrote: both answers are right it's just how you write the original equation...and in this case it's 288, don't make me get the youtube videos!

Both answers could be right if you wrote the original question as 48 ÷(2(9+3)), The way it is written, 48 ÷ 2(9+3), the only right answer is 288.

Fixed

2

2 AND 288

instead teach me how to dougie

mtn wrote: Fixed

I got 2 and was convinced I had done it wrong after reading all of the 288s, but now Jay has given me hope

umm 2? I got that the first time but was afraid to post after all the 288 fanatics.

I flunked math but got an A in cutting torch, what was the question.

I'll be in the Chamber of Understanding...

If you type this in to Mathcad the way it is written it will give you 288 because MathCad will automatically multiply the 2 to the 9+3 and it is programed this way because that is how the order of operations that was learned in 4th grade is done. 48/2x(9+3)=48/2x(12)=24x12=288.

Edit: I guess what this really proves is that with bad notation you can mess up anything.

I would have said 2 doing it in my head, but on my TI89 (which allows you to enter it in the exact same format as the question posed) says 288. iPhone says 288 also.

EvanB wrote: umm 2? I got that the first time but was afraid to post after all the 288 fanatics.

Don't sweat it. The smart people know it's 2.

http://www.mathgoodies.com/lessons/vol7/order_operations.html

Rule 1: First perform any calculations inside parentheses. Rule 2: Next perform all multiplications and divisions, working from left to right. Rule 3: Lastly, perform all additions and subtractions, working from left to right.

So the answer is 288

Also my teacher gf agrees that it is 288.

In written math notation (for anyone who has taken math) that problem works like this:

forty eight over two parentheses nine plus three.

Or...

48
2(9+3)

which equals

24
(9+3)

which equals

24
12

The law of distributive properties applies. Its a math equation. You can't simply plug it in to a calculator from left to right. Or we can look at it another way:

___48____
(2x9) + (2x3)

which equals

48
24

Each entity must be taken in course. You can't solve for the incorrect set first and expect it to work. Anyone who doesn't get 2 as the answer has taken something out of order.

Sorry to disagree with the 288's, but 4 years of AP calculus and an engineering degree tells me otherwise. I read every post, and I can see how you are getting 288, but regardless of how you got it, its incorrect. Each person who got 288 did something out of order. I'm not saying everyone has to know the rules of math, but any way you slice it, there is no way to properly attack that formula and not get 2 as the answer.

93EXCivic wrote: http://www.mathgoodies.com/lessons/vol7/order_operations.html

Rule 1: First perform any calculations inside parentheses. Rule 2: Next perform all multiplications and divisions, working from left to right. Rule 3: Lastly, perform all additions and subtractions, working from left to right.

So the answer is 288 Also my teacher gf agrees that it is 288.

thank you haha and Travis too. The way THIS one is written, it's 288