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Started By
Message
Posted on 4/15/15 at 4:09 pm to TheOcean
quote:
Did anyone else get 27
quote:
Florida State Fan
Posted on 4/15/15 at 4:12 pm to TheOcean
quote:
Did anyone else get 27?
"I Did!"
Posted on 4/15/15 at 4:14 pm to Chad504boy
Whoops. Actually got 53 the second time. Time to end this thread. 53 is the answer
Posted on 4/15/15 at 4:15 pm to TigerPox
Cal Berkeley prof. on why there is no single answer
ETA
ETA
quote:
A problem that hit the Internet in early 2011 is, "What is the value of 48/2(9+3) ?"
Depending on whether one interprets the expression as (48/2)(9+3) or as 48/(2(9+3)) one gets 288 or 2. There is no standard convention as to which of these two ways the expression should be interpreted, so, in fact, 48/2(9+3) is ambiguous. To render it unambiguous, one should write it either as (48/2)(9+3) or 48/(2(9+3)). This applies, in general, to any expression of the form a/bc : one needs to insert parentheses to show whether one means (a/b)c or a/(bc).
This post was edited on 4/15/15 at 5:31 pm
Posted on 4/15/15 at 4:16 pm to TheOcean
It's actually 8.67 (rounded), but I don't have time to teach you plebs.
Posted on 4/15/15 at 4:19 pm to NYNolaguy1
quote:
Cal Berkeley prof. on why there is no answer
well i'm an LSU Alum and I say 2.
Posted on 4/15/15 at 4:26 pm to KosmoCramer
48
--------
2 * (9+3)
or
48
------- * (9+3)
2
*poops diaper repeatedly*
--------
2 * (9+3)
or
48
------- * (9+3)
2
*poops diaper repeatedly*
Posted on 4/15/15 at 4:27 pm to gar90
quote:
Except for the fact that M and D are on the same playing field and you're supposed to go left to right. Same with A and S.
I think I shite myself a bit deciphering this.
Posted on 4/15/15 at 4:49 pm to KosmoCramer
It's obviously 288. Will Hunting already wrote the 2 and is still writing.
Posted on 4/15/15 at 5:05 pm to THRILLHO
quote:
hey are always written out in a form that no one would ever use IRL.
This!!!~ ^ They are always stupid.
Posted on 4/15/15 at 5:25 pm to NYNolaguy1
quote:There is not "no answer." Two answers may be "technically" correct, but 288 is a superior answer to 2.
Cal Berkeley prof. on why there is no answer
Posted on 4/15/15 at 5:32 pm to buckeye_vol
quote:
There is not "no answer." Two answers may be "technically" correct, but 288 is a superior answer to 2.
That's a fair point. I agree that there is no single solution.
Posted on 4/15/15 at 5:58 pm to buckeye_vol
quote:
t 288 is a superior answer to 2
People get bent out of shape about this with the whole left to right thing. It's easily interpreted as both answers, but you were taught to read math problems like sentences (left to right) in third grade, so screw what a math professor says. Miss Johnson taught me it was PEMDAS when I was 9, so everyone else is stupid.
Posted on 4/15/15 at 6:23 pm to NYNolaguy1
quote:
There is no standard convention as to which of these two ways the expression should be interpreted, so,
I'd like to see what he's seeing.. As far as I understand it there is absolutely a standard convention used to interpret this and it occurs naturally.
It's the most basic form of arithmetic, addition.
You can literally read this problem from left to right.
The whole purpose of PEMDAS is to simplify and shorten problems from addition. If you break it down left to right, while understanding the reasoning, PEMDAS isn't even needed.
First step:
48÷2 is glorified subtraction, a short and neat way of saying that I have a whole (48) and I want it split into 2 halves (24+24), and one thrown in the garbage ((24+24)-24=[24]). I now have 24.
Second step:
24×(9+3). The parentheses specifically say "don't multiply by 9 and then add 3, add 9 and 3 together first." We've acknowledged the fact that order of operations exist, and we are inserting an exception.
This is the only step in which we have specified that the sum of two specific numbers is a single operand so as to fit our problem.
And so we come to step 3:
24x(9+3), or 24x12, or even more specifically 24+24+24+24+24+24+24+24+24+24+24+24.
Which equals 288.
The entire problem can be rewritten in it's longest form using only addition as 48+(-24)+24+24+24+24+24+24+24+24+24+24+24=288.
The order of operations is naturally ocurring because, simply put, all of PEMDAS aside from parentheses is addition.
5^3 is short for 5x5x5, 5x3 is short for 5+5+5. Division is a form of multiplication and subtraction is a form of addition.
One operation always follows the next unless we specifically create a scenario in which it does not in parentheses.
Arithmetically speaking, the positioning of the operators is what locks the order, but once you properly break it down to addition it doesn't matter if you read it right to left from the bottom up, you're getting 288.
Now I think I'm done with all math for a good while...
tl;dr I may have to disagree
Posted on 4/15/15 at 6:43 pm to DanW1
The flaw in your logic is that you feel you must perform operations left to right. This is not a rule. If you write an equation that purely relies on that, you have written an equation incorrectly, as this one has. I can work a math problem from the middle out or from right to left if I so choose. As long as I work it in such a way that it is accurately solved as intended by its construction. If you don't specify, the equation is constructed incorrectly. Left to right is a convention that you picked up blowing through practice problems that meant nothing in your elementary school math book. It isn't really a thing.
Someone is going to spout off that their calculator or computer solver says its definitely one answer and not the other. That's only because the program reads the input function like a sentence as well or was input by a programmer who imparted their particular interpretation.
Someone is going to spout off that their calculator or computer solver says its definitely one answer and not the other. That's only because the program reads the input function like a sentence as well or was input by a programmer who imparted their particular interpretation.
Posted on 4/15/15 at 6:55 pm to KG6
So left to right never comes into play? IYO, 5-2+3=x can be calculated accurately in any direction? Or would you say it's written wrong because it lacks proper notation beyond the fake implicit rule of left to right?
Posted on 4/15/15 at 7:07 pm to GRTiger
In my opinion, that is another equation written without enough info.
Technically you can solve it starting om the right though. Its actually 3 + negative 2. Which gives you positive 1. Combined with 5 is 6. Same as solving it left to right.
Technically you can solve it starting om the right though. Its actually 3 + negative 2. Which gives you positive 1. Combined with 5 is 6. Same as solving it left to right.
Posted on 4/15/15 at 7:08 pm to KosmoCramer
If you use order of operations you easily get 2.
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