48÷2 (9+3) argument

It's BODMAS

Brackets
Of
Division
Multiplication
Addition
Subtraction

In that order so the answer is 2. At least that's what I learnt in primary school.
 
My old maths lecturer used to say mathematics is actually easy. You just musn't be greedy and try to eat the whole "sweet" first. Unwrap it and enjoy like a decent human being.

BODMAS is also what I was taught at school but going on the principal above that I learnt from tertiary and higher mathematics, you process the equation by doing the brackers first, adjacent to the bracket next and then applying bodmas to the balance.

49/2(9+3)

as someone pointed out

=48/(2x(12))

=48/24

=2

One cannot use the argument 2(a+b) = 2a+2b as a,b in this case are not variables but constants that can be added directly.

Nice question op btw.
 
The things I miss when I go out drinking! I solved pg 1 like b/a(x+y) = b/ax+ay = 2 and then read pages and pages of 288 and various claims of levels of education in the science of maths. Then I remembered the correct answer from page one: 5318008
 
48x2(9+3) = 48/2x(9+3)
48/2x(9+3) = 288

http://math.about.com/library/weekly/aa040502a.htm
Rules

1. Calculations must be done from left to right.

2. Calculations in brackets (parenthesis) are done first. When you have more than one set of brackets, do the inner brackets first.

3. Exponents (or radicals) must be done next.

4. Multiply and divide in the order the operations occur.

5. Add and subtract in the order the operations occur.
Click to expand...
 
Jabberwocky said:
48x2(9+3) = 48/2x(9+3)
48/2x(9+3) = 288

http://math.about.com/library/weekly/aa040502a.htm
Click to expand...
Deb Russell

Deb is now Principal of a school with over 500 students. She has taught math for many years in all grades and is passionate about students developing positive attitudes with math and reaching their potential.
Experience:

Deb is an experienced teacher having taught both elementary, middle and high school students. Deb has presented math implementation and math exemplar inservices to hundreds of teachers throughout her school board and educational jurisdiction. Deb has also been seconded to the ministry to support math implementation of key resources and materials. Deb has also reviewed and provided feedback to core math text publishers.
Education:

Deb holds a BA, B.Ed., 2 Specialists as well as her principal's qualifications. Deb has been trained in numerous ministry iniatives to support numeracy.
Click to expand...
Teachers are not always right.

This is not a clear cut problem, but the general consensus among proper mathematicians is that the real number preceding the brackets forms part of the brackets if the '*' operator is not explicitly specified.
 
48/2(9+3)

well thats easy, you first do the brackets, you get 12. than. always multiplication before devision. so 12 x 2. which is 24. 48 / 24 equals to 2. and everyone else saying its 288, well you're wrong.
 
Mike Hoxbig said:
This is not a clear cut problem, but the general consensus among proper mathematicians is that the real number preceding the brackets forms part of the brackets if the '*' operator is not explicitly specified.
Click to expand...

This.
 
R1ECKO said:
with my CASIO ƒx-82ES PLUS i get 2, Google vs Casio; ill go with my CASIO
Click to expand...

thedutchman said:
48/2(9+3)

well thats easy, you first do the brackets, you get 12. than. always multiplication before devision. so 12 x 2. which is 24. 48 / 24 equals to 2. and everyone else saying its 288, well you're wrong.
Click to expand...

The calculator never lies. Typed in the question exactly like that. I also get 2.
 
My word...

I'm not going to quote everyone on their errors directly but here are a few points:
Division is not before multiplication or visa versa - they are simultaneous. You can write it in any order and it means the same.
Ditto with addition and subtraction - no matter what order the numbers are in you will end up with the same result.

Now - there have been multiple bastardisations of the distributive law as well in this thread. The distributive action is split on an addition or subtraction - NOT on a division. The correct application of the distributive law would be:
48/2(9+3)
= (48/2)(9+3)
= (48/2)(9)+(48/2)(3)
= (24)(9)+(24)(3)
= 216+72
= 288
 
ambo said:
My word...

I'm not going to quote everyone on their errors directly but here are a few points:
Division is not before multiplication or visa versa - they are simultaneous. You can write it in any order and it means the same.
Ditto with addition and subtraction - no matter what order the numbers are in you will end up with the same result.

Now - there have been multiple bastardisations of the distributive law as well in this thread. The distributive action is split on an addition or subtraction - NOT on a division. The correct application of the distributive law would be:
48/2(9+3)
= (48/2)(9+3)
= (48/2)(9)+(48/2)(3)
= (24)(9)+(24)(3)
= 216+72
= 288
Click to expand...

I disagree...

If it was 48/2*(9+3) then you would be correct.
But it's 48/2(9+3) hence this 48/(2(9+3))

So it basically comes down to those arguing

http://www.wolframalpha.com/input/?i=48/(2(9+3))

vs

http://www.wolframalpha.com/input/?i=48+divided+by+2(9+3)
 
nakedpeanut said:
I disagree...

If it was 48/2*(9+3) then you would be correct.
But it's 48/2(9+3) hence this 48/(2(9+3))
Click to expand...
There is ALWAYS an implicit multiplication. By adding the brackets you are changing the formula - not clarifying it.

nakedpeanut said:
http://www.wolframalpha.com/input/?i=48/(2(9+3))
Click to expand...
This is a completely different formula


nakedpeanut said:
http://www.wolframalpha.com/input/?i=48+divided+by+2(9+3)
Click to expand...
This is the correct result... since you haven't added your own decorations.
 
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