48÷2(9+3) = ???
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That's not what I was talking about.
I see where you guys are coming from, since juxtaposition is used to prioritize the order of operations, mostly when variables are used.
For example when I write X/YZ, it is assumed that X is over (YZ).
But I personally haven't come across this practice when dealing with numbers, because this equation would be assumed to be a poorly constructed example.
And why do we not use juxtaposition with numbers?
Because 2^3 is not 222.
And this is where the whole debate started, because in 48/2(9+3) you don't have numbers right next to each other.
But if you treated 2(9+3) as it's own entity, you could break it up right? 2(9+3) = 18+6. Now if we go back to the original equation and plug this number in, without parenthesis, that weren't present in the first place, this is what we get:
48/18+6.
Which equals to 8.667.
As I mentioned earlier, I know where you guys are coming from, but this equation is set up incorrectly, and shouldn't be used in the professional field.
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Google doesn't think so. I doubt they left it to random chance. Texas Instruments only thinks so some of the time, they have made a conscious decision to treat it either way in different calculators. Perhaps that is because this is not a universally accepted rule.
From wikipedia: An expression like 1/2x is interpreted as 1/(2x) by TI-82, but as (1/2)x by TI-83. While the first interpretation may be expected by some users, only the latter is in agreement with the standard rules stated above.
See: http://en.wikipedia.org/wiki/Order_of_operations
Mathematicians do not agree this is true.
From knowyourmeme (fine physicists, I know):
Returning to the original problem, if one utilizes the principles of implied multiplication, then “2(9+3)” gets higher precedence than the explicit “48/2,” and would be solved like this:
48 ÷ 2(9+3)=
48 ÷ 2(12)=
48 ÷ 24=
2
Nevertheless, there is a lack of consensus on the value of implied multiplication.
See: http://knowyourmeme.com/memes/48293
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Huzzah! 2(9+3) can be viewed as 2*(9+3)
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I really can't believe there is a 16 page thread ALL ABOUT A SIMPLE MATH TASK!!!
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