48÷2(9+3) = ????

Your Answer?


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seriously, there is nothing to simplify with the 9.

(9) = 9

2(9) = 2 * 9

so 36 ÷ 2(9) = 36 ÷ 2 * 9
if there are no other numbers/factors or equations, you are correct. That is because there is no higher order if there is no multiplication/division/addition/subtraction sign. You put in 1 sign and there is still no prioritization....2 + (9) = 2 +9. As soon as you have 2 or more signs [5(2+9) does not equal (5*2+9)], then you have to prioritize...parentheses being the highest priority...do you see the difference? if not I can give you other examples
http://www.math.com/school/subject2/practice/S2U1L2/S2U1L2Pract.html

This is the problem I just got on math.com 79/48*4= 6.58 was the answer from left to right. 48/2*12= 288

Example 3: Evaluate 9 - 5 ÷ (8 - 3) x 2 + 6 using the order of operations.

Solution: Step 1: 9 - 5 ÷ (8 - 3) x 2 + 6 = 9 - 5 ÷ 5 x 2 + 6 Parentheses
Step 2: 9 - 5 ÷ 5 x 2 + 6 = 9 - 1 x 2 + 6 Division
Step 3: 9 - 1 x 2 + 6 = 9 - 2 + 6 Multiplication
Step 4: 9 - 2 + 6 = 7 + 6 Subtraction
Step 5: 7 + 6 = 13 Addition

http://www.mathgoodies.com/Lessons/vol7/order_operations.html
in this problem (79/48*4= 6.58), you can go left to right because multiplication and division do not take priority over each other.....in the next example, you finish the parentheses FIRST, GET RID OF THEM, then you can do the division & multiplication left-to-right, and then the addition & subtraction left-to-right...
 
fuck y'all i'm going to bed. :lol:

this thread better not be twice as big when i wake up. :lol:

yeah man...I´m out too 3:00 here.... I had plans for finishing up some other stuff..

been cool though....different from the normal BGOL stuff..:yes:
 
i always thought u had to distribute thru parentheses to get rid of them. thats why u do that so you wont get a wrong answers. its understood that a 1 is in front of them unless and an exponent of 1 is behind them otherwise stated. i.e. (9+3) = 1(9+3) too the 1st power. but if ur given something like 2(9+3) squared you have to solve all this 1st before you move on. kinda like whole numbers are understood be be over one when multiplying them by fractions. But I been wrong b4 and this is BGOL no one is ever right. . .
well in this case YOU are right :D
It can be 2 or 288 depending on the intentions

Its more common to write 1/2(4) and get 2 instead of 1/8
unfortunately, not the way it is typed with those parentheses...
Followup,

The very premise of your argument is implying a single term for [2(9+3)].

Because otherwise, the order of operations is from left to right once you compute inside the parenthesis as the distribution holds the same weight as multiplication in the order of operations because the distributive property is multiplication.

So again, where is the explicit rule for x(y) > z/x. ?

The only way to prove your case is to find a rule in support of the above otherwise you have to go against order of operations to get your solution. Because nowhere does it state you have to first distribute across the data inside the parenthesis. You complete INSIDE of the parenthesis. However, whether you distribute to the parenthesis depends on the order of operations. The multiplication does not over-ride the division to start the equation. That distributive function (multiplication in this case) holds the same weight as the division so you must start from left to right.


If that were the case, you would be able to easily find the specific rule for it.

Your solution is 100 percent correct if you imply [2(9+3)].
I can't explain it any better than I already have. My suggestion for you would be to find someone in an algebra class and have them take the equation to their instructor. And that could be elementary school, high school, or college algebra. The answer is 2 every time. :)
 
I meant commonly 1/2(8) I always 4 because when people type it in thats what they are generally referring too. You rarely run into a problem where (2*8) comes before 1/2
 
Intentions meaning someone wrote it the wrong way.

This shit is beyond stupid all of a sudden. I cant believe Ive even argued this shit for this long...


The answer is 2 if you learned to Simplify and the Distributive Property in grade school, if you want to take the equation literal in an invalid form its 288. Whatever.
 
Am I the only one still up just to see how long this is going to go?

Sent from my HTC HD2 using Tapatalk
 
This shit is beyond stupid all of a sudden. I cant believe Ive even argued this shit for this long...


The answer is 2 if you learned to Simplify and the Distributive Property in grade school, if you want to take the equation literal in an invalid form its 288. Whatever.

You taking it out of context.
 
asiansq.jpg
 
My suggestion for you would be to find someone in an algebra class and have them take the equation to their instructor. And that could be elementary school, high school, or college algebra. The answer is 2 every time. :)

I doubt it followup. It would probably be as split as it is here. You have explained your point repeatedly, however, you still have not produced the explicit rule that addresses the last sentence in this post.

I understand your position without a problem. That is not the issue.

I´ve followed this on about 10 different message boards tonight. From just general ones like BGOL to physics boards,etc....it is a pretty heated.

There is a professor who teaches math who posted the answer of 288 in this very thread. I know him personally. So I think even taking this to math professors would produce a pretty decent split of answers.

I did notice one thing (and the rule is the argument...Im not saying this in an indication of correctness as I dont make arguments based on logical fallacies) that the more technically inclined the message board, the more the poll starts to show a higher percentage voting for 288 as their solution.

I still think this is the key issue:

the order of operations is from left to right once you compute inside the parenthesis as the distribution holds the same weight as multiplication in the order of operations because the distributive property is multiplication.
 
Thanks for answering this. In your own answer you just grouped from Right to Left (WRONG). (2 * 9) is NOT bracketed 1st.
He is 100% correct...once again it comes down to order of equations and then simplifying--which all must happen before you move on...
Am I the only one still up just to see how long this is going to go?

Sent from my HTC HD2 using Tapatalk
It's 11pm out here & I am finishing my last show....I promise it won't be too much longer from me. I just figured I could do some math tutoring while I shake my head LOL
I meant commonly 1/2(8) I always 4 because when people type it in thats what they are generally referring too. You rarely run into a problem where (2*8) comes before 1/2
I see what you are saying, but technically
(1/2)8 = 8(1/2) = 4
and 1/2(8) = 1/16......
 
I doubt it followup. It would probably be as split as it is here.

I´ve followed this on about 10 different message boards tonight. From just general ones like BGOL to physics boards,etc....it is a pretty heated.

There is a professor who teaches math who posted the answer of 288 in this very thread. I know him personally. So I think even taking this to math professors would produce a pretty decent split of answers.

I did notice one thing (and the rule is the argument...Im not saying this in an indication of correctness as I dont make arguments based on logical fallacies) that the more technically inclined the message board, the more the poll starts to show a higher percentage voting for 288 as their solution.

I still think this is the key issue:

the order of operations is from left to right once you compute inside the parenthesis as the distribution holds the same weight as multiplication in the order of operations because the distributive property is multiplication.
your choice :) a message board is not a good reference, nor is your calculator or excel.
 
your choice :) a message board is not a good reference, nor is your calculator or excel.

I already stated that in my initial reply. I don´t make arguments with logical fallacies. My point was against a logical fallacy that you inadvertently supplied (an appeal to a supposed authority: taking the equation to a math professor). Like I´ve said, professors have responded in this very thread with the answer 288. Being a math professor does not presuppose their calculation serves as proof. and Ive certainly not given a calculator or excel response....however, you will get 288 more than 2 with either of those as well.

There is a necessity for you to provide some type of rule...a mathematical axiom that negates this:

the order of operations is from left to right once you compute inside the parenthesis as the distribution holds the same weight as multiplication in the order of operations because the distributive property is multiplication.
 
It depends on if the person who made this problem up thought that
2(9+3) == 2*(9+3)

Thats what I meant by intentions.
 
It depends on if the person who made this problem up thought that
2(9+3) == 2*(9+3)

Thats what I meant by intentions.

Yep. Because the people arguing in support for 2 as the solution are treating it as a single term [2(9+3)].

They are implying the brackets.
 
Im going with this dude's answer and calling it a night
Both answers are correct/wrong because the question is ambiguous. Both subtraction and division are non-commutative, which means to ye laymen out there that order matters. 3 - 2 != 2 - 3. 4/2 != 2/4.

We can normally solve this issue by using unit inverses as part of the term, so instead of thinking as 3 - 2, we think of 2 + -1(2) = -1(2) + 2. Equally, for division we can turn 4/2 into 4 * (1/2) = (1/2) * 4. Another approach is polish notation, as previously noted, which is incapable of ambiguity. Operator precedence is a third way of solving the ambiguity, but is somewhat arbitrary and could be easily reversed (it'd just change the 'normal' way of writing things). Finally, braces were introduced as a catch-all ambiguity breaker. Unfortunately, for this expression, none of these were used.

Algebraically, the ambiguity can be expressed by:

48/2(9+3) -> a = 48, b = 2, c = (9+3) = 12,

This gives a/bc, which can be read as both:

a/(bc) = 48 / (2 * 12) = 2 <-- this answer makes more sense algebraically
(a/b)c = (48 / 2) * 12 = 288 <-- this answer makes more sense looking at the numbers, and using the standard taught operator precedence, e.g. BODMAS or equivalent

http://www.escapistmagazine.com/forums/jump/18.275879.10713555
 
so if the question was better 48÷x(9+3). would it 48÷12x or 48 ÷ x*12?
48/x(9+3) = 48/(9x+3x) = 48/12x = 4/x
if x=2, then the equation is 4/2 = 2....

48/x*12 = 48/12x = 4/x...
unfortunately, you can not separate the x and the 12...BUT...
48/3*12 = 16 * 12 = 192
 
Damn....29 pages :lol: Good shit.

I'm riding with 288. Somebody get a text to Stephen Hawking so he can get a 15 day membership and give us the deciding vote.
 
The person who wrote this problem is either a genius or a jerk.

The only way to solve this problem is to ask him.

I say Jerk.

:D

 
He is 100% correct...once again it comes down to order of equations and then simplifying--which all must happen before you move on...

Order of equations
Rule 1: First perform any calculations inside parentheses.
The ONLY thing inside parentheses IS (9)
Rule 2: Next perform all multiplications and divisions, working from left to right.
left to right would be (36 ÷ 2) * 9
Rule 3: Lastly, perform all additions and subtractions, working from left to right.
 
Im going with this dude's answer and calling it a night


http://www.escapistmagazine.com/forums/jump/18.275879.10713555
almost, but the person made a mistake....
he should have included one more term "d"...inside the parentheses could be ANY EQUATION...it just so happens that there are 2 numbers in the equation....THIS is what he should have typed a/b(c+d)...I'll let you work it out...

Lastly, even HE admits that
a/(bc) = 48 / (2 * 12) = 2 <-- this answer makes more sense algebraically
 
Order of equations
Rule 1: First perform any calculations inside parentheses.
The ONLY thing inside parentheses IS (9)
Rule 2: Next perform all multiplications and divisions, working from left to right.
left to right would be (36 ÷ 2) * 9
Rule 3: Lastly, perform all additions and subtractions, working from left to right.
Ok. :)
 
I'm not sure if it's been said, but:

48 ÷ 2(9+3) is NOT the same as:

48 ÷ 2 * (9+3)

Which seems to be the mistake that you brothas are making.

It's not as simple as "doing" what's IN the parentheses, you have to resolve WHATEVER IS TOUCHING the parentheses first.

48 ÷ 2(9+3) = 48 ÷ (2*9 + 2*3) = 48 ÷ (18 + 6) = 48 ÷ 24 = 2 :yes:

48 ÷ 2 * (9+3) = 48 ÷ 2 * 12 = 24 * 12 = 288 :smh:

You have to distribute the 2 before you can continue solving the equation.
 
I'm not sure if it's been said, but:

48 ÷ 2(9+3) is NOT the same as:

48 ÷ 2 * (9+3)

Which seems to be the mistake that you brothas are making.

It's not as simple as "doing" what's IN the parentheses, you have to resolve WHATEVER IS TOUCHING the parentheses first.

48 ÷ 2(9+3) = 48 ÷ (2*9 + 2*3) = 48 ÷ (18 + 6) = 48 ÷ 24 = 2 :yes:

48 ÷ 2 * (9+3) = 48 ÷ 2 * 12 = 24 * 12 = 288 :smh:

You have to distribute the 2 before you can continue solving the equation.
It has been said AT LEAST 20 different ways....but it is falling on blind & indignant eyes :dunno:
 
Thanks for answering this. In your own answer you just grouped from Right to Left (WRONG). (2 * 9) is NOT bracketed 1st.

The parenthesis are dealt with first.
The fact that you wrote your equation as 2(9) signals you want the 2 to be multiplied by 9 before anything else..
 
The parenthesis are dealt with first.
The fact that you wrote your equation as 2(9) signals you want the 2 to be multiplied by 9 before anything else..

Um no...2(9) = 2 * 9.

Order of equations
Rule 1: First perform any calculations inside parentheses.
The ONLY thing inside parentheses IS (9)
Rule 2: Next perform all multiplications and divisions, working from left to right.
left to right would be (36 ÷ 2) * 9
Rule 3: Lastly, perform all additions and subtractions, working from left to right.
 
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