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You solve the denominator first then divide the numerator by it
You just have proven that you dont know what you are talking about...
again, read the rules of algebra, why should I continue if you ignore the rules...(9+3) is not a denominator in the equation, you are very confused on how to write equations in algebra...
48/2(9+3) is not the same as 48 over 2(9+3), why is this so difficult to understand..
48/2(9+3) is 48 over 2, multiplied by (9+3). very different..
48 over 2(9+3)= as 48/(2(9+3)), but this is not the equation, for some reason you see an extra parenthesis when there is non..
It wasn't vague, confusing, or ambiguous for Excel, Matlab, and Google.
Using those you are inputting the data into a program. Programs do not "think" as humans do, they follow semantic rules of the programming language. Therefore, they follow the order of operations rules for algebra as have been posted by others.
The point is that whoever wrote that problem either wasn't thinking or just simply is not a mathematician because it is poorly written lending itself to humans interpreting incorrectly just as has happened in this thread. Anyone with a mathematics background would have used parentheses for clarity. Also, no one with a math background would have used the divisor symbol, they would have used a slash and besides that a divisor symbol isn't even on a standard keyboard. Computer programs will interpret it correctly simply because they simply follow the rules and cannot think independently.
you just have proven that you dont know what you are talking about...
Again, read the rules of algebra, why should i continue if you ignore the rules...(9+3) is not a denominator in the equation, you are very confused on how to write equations in algebra...
48/2(9+3) is not the same as 48 over 2(9+3), why is this so difficult to understand..
48/2(9+3) is 48 over 2, multiplied by (9+3). Very different..
48 over 2(9+3)= as 48/(2(9+3)), but this is not the equation, for some reason you see an extra parenthesis when there is non..
48
2(9+3)
is the same as
48/2(9+3)
Which is the original question.
And it results in 2
Which is the original question.
And it results in 2
How you do not see that is beyond me.
only in your world, but in our world that decide to follow the rules (like the rules of algebra) it is not...
48/2(9+3), by the rules of algebra this represent 48 * (9+3)= 288 very very different...
2
How do you not see this is beyond me, beyond algebra...
Again, what we are discussion is something simple...
the rules of algebra are the same as rules of english, how do you write, left to right... how do you read left to right..
so how do you write algebra?? as A-L-G-E-B-R-A or do you write it as A-R-B-E-G-L-A?
But if you want in the math of arbegla, then you are correct... but in the world of algebra you are wrong...
48/2 * (9+3)= 48/2(9+3), just like 5(3) is the same as 5 * 3.
But it will never be 48/(2(9+3))
Can you see the difference between this 2????
48/2(9+3) is not the same as 48/(2(9+2))
48/2(9+3) follow rule 1, do parenthesis first...
48/2(12), follow rule 2, do all multiplication and divisions IN THE ORDER OF LEFT TO RIGHT,
24(12), follow rule 2, again, do all multiplication and divisions left to right...
288...
simple, just follow the rules of algebra....
BUT, if you can find me in ANY webpage that state that the order is right to left, then I would say you are correct...
only in your world, but in our world that decide to follow the rules (like the rules of algebra) it is not...
48/2(9+3), by the rules of algebra this represent 48 * (9+3)= 288 very very different...
2
How do you not see this is beyond me, beyond algebra...
Again, what we are discussion is something simple...
the rules of algebra are the same as rules of english, how do you write, left to right... how do you read left to right..
so how do you write algebra?? as A-L-G-E-B-R-A or do you write it as A-R-B-E-G-L-A?
But if you want in the math of arbegla, then you are correct... but in the world of algebra you are wrong...
48/2 * (9+3)= 48/2(9+3), just like 5(3) is the same as 5 * 3.
But it will never be 48/(2(9+3))
Can you see the difference between this 2????
48/2(9+3) is not the same as 48/(2(9+2))
48/2(9+3) follow rule 1, do parenthesis first...
48/2(12), follow rule 2, do all multiplication and divisions IN THE ORDER OF LEFT TO RIGHT,
24(12), follow rule 2, again, do all multiplication and divisions left to right...
288...
simple, just follow the rules of algebra....
BUT, if you can find me in ANY webpage that state that the order is right to left, then I would say you are correct...
Tomorrow, when we all go to work tomorrow, ask a few of your colleagues this. I'll bet 95% of them will say 2 (and be wrong).
Using those you are inputting the data into a program. Programs do not "think" as humans do, they follow semantic rules of the programming language. Therefore, they follow the order of operations rules for algebra as have been posted by others.
The point is that whoever wrote that problem either wasn't thinking or just simply is not a mathematician because it is poorly written lending itself to humans interpreting incorrectly just as has happened in this thread. Anyone with a mathematics background would have used parentheses for clarity. Also, no one with a math background would have used the divisor symbol, they would have used a slash and besides that a divisor symbol isn't even on a standard keyboard. Computer programs will interpret it correctly simply because they simply follow the rules and cannot think independently.
The person who wrote was mathematically inclined and understood the order of solving such equations. What that person didn't realize is that a lot of people don't know simple math. The divisor symbol and slash are interchangeable. It doesn't matter what the symbol is.
Quote:
Originally Posted by Alacran
48
2(9+3)
is the same as
48/2(9+3)
Which is the original question.
And it results in 2
How you do not see that is beyond me.
It's beyond you because you don't have an understanding of the order of operand. What makes you think that you would multiply the 2 against (9+3) before you would divide the 2 into 48? How you don't understand left to right, is beyond me.
Last edited by ShadowCaver; 09-25-2011 at 08:49 AM..
Tomorrow, when we all go to work tomorrow, ask a few of your colleagues this. I'll bet 95% of them will say 2 (and be wrong).
Why is that?
I am an accountant, so most of them have taken algebra in college and calculus, but that doesn't matter, the problem here is simple..
Is a visual problem, where your mind wants to see something that goes against the rules...
This is more of a mental and visual problem then an math problem...
Here you have to teach your mind to follow the rules VS follow what your brain tells you. In other words, is a perception problem..
give you another example, more simple...
1/2(2+2)=???
This is simple, since most people see 1/2 as a whole number and not as a division, they recognize it as .5 automatically...
So taking Alacran way of thinking this would be
1/2(2+2)=
1/2(4)=
1/8=
0.125
but I hope people see this, and recognize this is wrong...
1/2(2+2) is
1/2(4)
.5(4)
2
See the difference now,, in this example I used the illusion or perception the other way around..
so 1/2(2+2) is the same thing as .5(2+2), there is no difference.
Sames goes with 48/2(9+3),
48/2(9+3) is the same as 24(9+3)
Last edited by ShadowCaver; 09-25-2011 at 08:50 AM..
It's beyond you because you don't have an understanding of the order of operand. What makes you think that you would multiply the 2 against (9+3) before you would divide the 2 into 48? How you don't understand left to right, is beyond me.
Because 48 would become a numerator and the rest after the division sign would become a denominator.
What is in the numerator is done separately from the denominator and vice versa, then you divide the results by each other
Because 48 would become a numerator and the rest after the division sign would become a denominator
The "/" does not indicate that everything that follows the "/" is a denominator. The "/" is just a simple division sign.
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