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Dr.Math ....hes a doctor...of MATH
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Posted 4/13/11

michaelbritton wrote:

I prefer the answer 288 (refer to the large paragraph from my last post), though the answer is actually undefined.

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I'm pretty sure it's not undefined
Posted 4/13/11
I suck at math, but I went by order of operations.
Posted 4/13/11
P.E.M.D.A.S.

48÷2(9+3)

9+3= 12

48÷2= 24

24 X 12=

...I got 288 OH NO LOL
Posted 4/13/11
Since 48÷2(9+3) gives rise to two possible answers (due to ambiguity of the equation), it is undefined. This is because the equation only has one answer, yet in this instance two exist. Sorry how sloppy this is written.

Posted 4/13/11

michaelbritton wrote:

Since 48÷2(9+3) gives rise to two possible answers (due to ambiguity of the equation), it is undefined. This is because the equation only has one answer, yet in this instance two exist. Sorry how sloppy this is written.



It's 288 =.= The people who said "2" got it wrong. Even I know that!
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Posted 4/13/11
48 / 2 (9 + 3)

Step 1: (Do inside of the parenthesis.)

48 / 2 (12)

Step 2: (Do Multiplication and Division from left to right. Multiplication does not take precedence, don't let people fool you.)

24 (12)

Step 3: (Do The Multiplication again.)

288 is the answer.
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Posted 4/13/11

michaelbritton wrote:

Since 48÷2(9+3) gives rise to two possible answers (due to ambiguity of the equation), it is undefined. This is because the equation only has one answer, yet in this instance two exist. Sorry how sloppy this is written.


that doesn't make sense. It like saying
48÷2 x 12 is undefined because it has two answers: 288 and 2
how would you go about a question like that? It's the same exact thing as 48÷2(9+3)
the answer is 288
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Posted 4/13/11 , edited 4/13/11
48÷2(9+3)
can also be
48÷(18+6) "using distribution"
48÷24
=2
a wrong does make a right LOL wrong way of working out the problem but end result is the same(correct)
I feel dumb distribution isnt wrong, I just dont find myself using distribution since i use PEMDAS
so I stand corrected LOL using distribution is legit
*Using Order of Operation*
48÷2(9+3)
48÷2(12) *if you type this in your calculator you will get 288 that is because the calculator doesnt really follow the PEMDAS "Order of Operation"* instead type 48 ÷(2(12) or 48/(2(12))
48÷24 * You MULTIPLY before you DIVIDE
=2
Posted 4/13/11 , edited 4/13/11
The equation was written in such a way, that depending on what rules you apply (OOO, BIDMAS, or w/e), will influence the way the problem is read.

Below are images of the two possible calculations, to which people might see.

http://latex.codecogs.com/gif.latex?\frac{48}{2(9+3)}

http://latex.codecogs.com/gif.latex?\frac{48}{2}(9+3)

Basically the equation was written to create rage lol. Prof. will always make clear what they're asking in an equation.
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Posted 4/13/11

PhoenixBlaze wrote:

48÷2(9+3)
can also be
48÷(18+6) "using distribution"
48÷24
=2
a wrong does make a right LOL wrong way of working out the problem but end result is the same(correct)

*Using Order of Operation*
48÷2(9+3)
48÷2(12) *if you type this in your calculator you will get 288 that is because the calculator doesnt really follow the PEMDAS "Order of Operation"* instead type 48 ÷(2(12) or 48/(2(12))
48÷24 * You MULTIPLY before you DIVIDE
=2

the calculator actually does follow the order of operations
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Posted 4/13/11

michaelbritton wrote:

The equation was written in such a way, that depending on what rules you apply (OOO, BIDMAS, or w/e), will influence the way the problem is read.

Below are images of the two possible calculations, to which people might see.

http://latex.codecogs.com/gif.latex?\frac{48}{2(9+3)}

http://latex.codecogs.com/gif.latex?\frac{48}{2}(9+3)

Basically the equation was written to create rage lol. Prof. will always make clear what they're asking in an equation.

.....just so you know, (9+10) over one is not the same as one over (9+10)

Posted 4/13/11
thanks...
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Posted 4/13/11

blue_banana wrote:



You should be able to solve this.


This isn't a super-formal proof but it gets the point across

the expression is (1+n)^p - n^p - 1. The translation is just plain wrong with the formula.
this is equal to (1+n)^p - (n^p+1)
since p is prime it must be >= 2. So we can always expand this to at least three terms.
expand out the first part out
1 + p*(1+n)+ ... + p*(1+n)^(p-1)+ n^p - (1+n^p)
rearrange
*(1+n)+ ... + p*(1+n)^(p-1) + (1 +n^p) - (1+n^p)
leaving
p*(1+n)+ ... + p*(1+n)^(p-1)
since all terms have a p in it it is divisible by p

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Posted 4/13/11

FlyinDumpling wrote:


PhoenixBlaze wrote:

48÷2(9+3)
can also be
48÷(18+6) "using distribution"
48÷24
=2
a wrong does make a right LOL wrong way of working out the problem but end result is the same(correct)

*Using Order of Operation*
48÷2(9+3)
48÷2(12) *if you type this in your calculator you will get 288 that is because the calculator doesnt really follow the PEMDAS "Order of Operation"* instead type 48 ÷(2(12)) or 48/(2(12))
48÷24 * You MULTIPLY before you DIVIDE
=2

the calculator actually does follow the order of operations


If the calculator follows the order of operation then
when type 48 ÷2(9+3) you wouldnt get "288" instead you would get "2"
the only way you can get 288 is if you solve from left to right(which in this case means not using the order of operation)
the answer can not be 288
48÷2(9+3) is the same as 48/(2(12)) *48 is the numerator and (2(12)) is the denominator*
Posted 4/13/11
I have 6 calculators, not including excel, computer software, mobilephones. 3 of them say 288 when i inputed 48 ÷2(9+3).

"Calculators have somewhat different needs than mathematicians, since they have to take input linearly, one character after another, so they are forced to make a decision about it."
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