6÷2(1+2)=?

6÷2(1+2)=?
Controversial? No, not really. At least I don't think so.
Since division and multiplication are equal in priority, you move from left to right when doing the work and it becomes (6 ÷ 2) * (1 + 2).
Someone please correct me if this is mistaken.
Yeah. There's a reason that most people don't use that symbol, but if you type that in to any calculator, it'll work as inow said. Nothing controversial about it.
According to Inow, the answer would be 9. I believe it is 1.
The way I read the equation would be akin to 6/[(2*1)+(2*2)= 6/6= 1
I believe the equation is showing 6/(2+4) with the 2 factored out of the denominator to reach the 6/2(1+2)
The basic rule in mathematics is to be clear. The expression 6÷2(1+2) is not clear. To be clear, use parentheses (6÷2)(1+2) or 6÷(2(1+2)).Originally Posted by whoisjohngalt
Arguing over what it "should" mean is futile and requires one to be clairvoyant and to use that faculty to divine the intent of the writer.
This argument is taking place in several forums. It is pointless in each and every one.
Yep, and I saw it in another forum. That was a photography forum. I just figured I would see what a math section of the science forum would think. I still say the answer is 1.
Hmmmm...
I just typed 6 divided by 2(1+2) into my calculator and the answer is indeed 1. I suppose it means you do the 2(1+2) first giving 6 and them divide 6 by this equalling 1.
So, yes, written as that the answer is 1.
6÷2(1+2)=Math salad.
I just noticed that my keyboard doesn't have one of those crappy, kindergarten, arithmetic division symbols. Good!
It's the / key. It's the same thing for all intents and purposes.
I suppose what you get would depend on which calculator or programming language you use, if you use one. (If you're just doing it on paper, it's as DrRocket said and would be considered poorly written.) For most calculators and programming languages (places where you might actually type something like that in) multiplication and division are resolved left to right in the absence of parenthesis and the answer would be 9.
Try opening your desktop calculator and typing 6/2*(1+2) in that order. Mine gives 9. I know C, C++, Java, Excel and PERL at least would also give 9.
But the question does not ask:Originally Posted by MagiMaster
It asks:
Which is the same as:
Thus the answer is 1.
Then it should have been written 6/(2(1+2)). If you write it wrong, you will get the wrong answer.
Indeed. The question/expression is written in a very unorganised way (as DrRocket stated), there's no disagreement there. But I'm just saying that if you type it like that into a calculator, then you will obtain 1 due to BIDMAS (Brackets, Indices, Division...) most likely.Originally Posted by MeteorWayne
It wasn't written wrong. It was written the way it was because it was intended to be ambiguous.Originally Posted by MeteorWayne
Well by the basic BODMAS rule I've learnt the answer is 9
You evaluate the bracket ,division,multiplication
Also, you can't actually type 6/2(1+2) into many calculators or programming languages. Mathematica is one of the few I know that'll do multiplication by concatenation like that, but even that gives a 9.
While brackets do take precedence, the implied multiplication is not a bracket.
Typing "6/2(1+2)" on my TI 84plus SE I obtain 9.
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