48÷2 (9+3) argument

Ok first off what I want to say is

these listed below all mean the same thing:
2(9+3) = 2.(9+3) = 2x(9+3) = 2*(9+3)
Click to expand...

I disagree.

2.(9+3) , 2x(9+3) , 2*(9+3) all equal 2x1(9+3) right?

2(9+3) however is not the same as the 2 here is replacing the 1 in the above. Thus in my opinion forming part of the brackets.

The answer then will be 2 following BODMAS. As it is part of the brackets.

The others will be apart from the brackets and that's why you get 288.

The Casio fx-82ES PLUS gets both answers. 2 by using the exact equation in the title and 288 by using a x sign.
 
KalMaverick said:
Ok first off what I want to say is



I disagree.

2.(9+3) , 2x(9+3) , 2*(9+3) all equal 2x1(9+3) right?

2(9+3) however is not the same as the 2 here is replacing the 1 in the above. Thus in my opinion forming part of the brackets.

The answer then will be 2 following BODMAS. As it is part of the brackets.

The others will be apart from the brackets and that's why you get 288.

The Casio fx-82ES PLUS gets both answers. 2 by using the exact equation in the title and 288 by using a x sign.
Click to expand...
^^
This is what me and a few other have been arguing, but people don't understand it... sigh
 
I think it's what we were taught in school wasn't it? I might not do what-what engineering maths like the other guy but I do agree with Casio over Google.

I also want to add my Sharp EL-738 shows the same.
 
Last edited:
No wonder our education is down, people need to argue about basic mathematics
 
right.. so I asked dr math about it. http://mathforum.org

heres the reply
The debate has been going on for years, but for some reason it heated
up yesterday, and we have heard from at least four other people about
it.

Here are some of our comments on this issue from years past:

Order of Operations Dispute
http://mathforum.org/library/drmath/view/57025.html

Order of Operations
http://mathforum.org/library/drmath/view/54341.html

More on Order of Operations
http://mathforum.org/library/drmath/view/57021.html

If you have any further questions, feel free to write back.
Click to expand...

I`m going with both answers being correct, and the question being wrong.
 
Jabberwocky said:
right.. so I asked dr math about it. http://mathforum.org

heres the reply


I`m going with both answers being correct, and the question being wrong.
Click to expand...

That is indeed the case. The question is purposefully ambiguous and should have been stated as either 48 / (2(9+3)) or (48 / 2) * (9+3). It's all a prank I tell you!!

<but I still say the answer is 2 :p>
 
Factorization & Simplification
48÷2(9+3)
=9(48÷2) + 3(48÷2)
=9x24 + 3x24
=24(9+3)
=24x12
=288

To end up with an answer of 2 you would have had to say:

48÷2(9+3)
=48÷((2x9)+(2x3)) (incorrect step, see below)
=48÷(18+6)
=48÷24
=2

A÷B(C+D) = C(A÷B)+D(A÷B)
A÷B(C+D) NOT= A÷(BC+BD)
A÷B(C+D) NOT= A÷BC÷BD
A+B(C+D) = A+BC+BD
 
DanH said:
Factorization & Simplification
48÷2(9+3)
=9(48÷2) + 3(48÷2)
=9x24 + 3x24
=24(9+3)
=24x12
=288

To end up with an answer of 2 you would have had to say:

48÷2(9+3)
=48÷((2x9)+(2x3)) (incorrect step, see below)
=48÷(18+6)
=48÷24
=2

A÷B(C+D) = C(A÷B)+D(A÷B)
A÷B(C+D) NOT= A÷(BC+BD)
A÷B(C+D) NOT= A÷BC÷BD
A+B(C+D) = A+BC+BD
Click to expand...

look at it this way to end up with 2

48
------
2(9+3)
 
Using BODMAS, equation will solve as 2.


2(9+3) will always be given precedent. 2 will form part of initial calculation when working out brackets FIRST.

48/24 = 2.
 
SinghDude said:
Using BODMAS, equation will solve as 2.


2(9+3) will always be given precedent. 2 will form part of initial calculation when working out brackets FIRST.

48/24 = 2.
Click to expand...
Nope you wrong BODMAS = Brakets of Divison and Multiplication (before) Addition (and) Subtraction

48 / 2(9+3)
First we must do division so we simplify
48/2 (9+3)
24(9+3)
Next in BODMAS is multiplication
24X (9+3) = (216+72)
finally your Addition
216+72= 288
Can anybody explain this better?
 
mmmig said:
Nope you wrong BODMAS = Brakets of Divison and Multiplication (before) Addition (and) Subtraction

48 / 2(9+3)
First we must do division so we simplify
48/2 (9+3)
24(9+3)
Next in BODMAS is multiplication
24X (9+3) = (216+72)
finally your Addition
216+72= 288
Can anybody explain this better?
Click to expand...

All I can say is do you understand the brackets part of bodmas?
 
48÷2(9+3)

(48)(9+3)
=_________
2

You can't just multiply the 2 into the brackets, the whole 48/2 must be multiplied into the brackets.

Did we not learn in std6: 2x3=2(3)=2.3


Work out the what's inside the brackets first.

48÷2(9+3)
=48÷2(12)
=48÷2x12
=24X12 (Left to right)
=288
 
DanH said:
You can't just multiply the 2 into the brackets, the whole 48/2 must be multiplied into the brackets.
Click to expand...

Ahh but you see there lies the argument, due to the multiplier not being explicitly defined, the implied 2 multiplication forms part of the bracket for initial consideration.

Mathematically, it's ambiguous and dangerous.
 
cbrunsdonza said:
Dude, Standard 6 was many moons ago for me, 1989, thats why I redid my High School maths at UNISA. And yes I do agree the real number in front of the parenthesis implies multiplication but immediately to the values inside the parenthesis/brackets.

(The reason why I redid my maths was because I sucked at geometry but loved algebra)
Click to expand...

okay im with you. yes i know the flaming starts here :). im of the opion that the 2 is part of the bracket. but possibly stating the question more correctly is
48÷2 (9+3)
9 = y
3 = z

answer =x

x = 48/2(y+z)
x = 48/(2y + 2z)
x = 48/(2(9) + 2(3))
x = 48/(18 + 6)
x = 48/24
x = 2

olrite its monday.
 
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