But if the operations in brackets are done first that gives us 6 / 2(3), and any way you spin it, 2(3) = 6. You don't just do the operation that is in the brackets - 2(1+2) is the operation, which = 6.Hugh Januss said:9
Operations in brackets are done first after that it just goes from left to right.
6 divided by 2= 3 X 3 = 9
That's not what an operation is. An operation is an exponent or a root.Libertine Seguros said:But if the operations in brackets are done first that gives us 6 / 2(3), and any way you spin it, 2(3) = 6. You don't just do the operation that is in the brackets - 2(1+2) is the operation, which = 6.
But it isn't.Mambo95 said:That's not what an operation is. An operation is an exponent or a root.
2(3) is just a different way of writing 2 x 3.
The answer is 9.
6/2x3 = 9.Hugh Januss said:OK then what is the answer to this equation?
6/2 X 3 = ?
because that is what the other equation becomes the moment you complete the portion in brackets, once that part is done, and operations in brackets are always completed on their own first, then all other operations are simply carried out in the order that they occur from left to right
No, you're right. they're wrong.Libertine Seguros said:But it isn't.
That's what the whole crux of the problem is. It is ambiguous, and both readings are correct under different systems. One system says it's 9, one system says it's 1. The one I've been taught says it's 1, the one you've been taught says it's 9. Neither are wrong.
As I posted, and Cobblestones pointed out, it's an inherently flawed equation because of the ambiguity and would be better solved by an additional parentheses indicating which format it should use.
To you, the operation is (6/2) (1+2) i.e. 3 x 3 = 9
To me, the operation is 6 / (2(1+2)) as "2(1+2)" is one item. i.e. 6 / 6 = 1.
Neither you nor I are wrong.
If you do that then the problem has gone away though and there is no fun... well if this is fun :SCobblestones said:Actually it would be better to pose the problem either as a fraction or with one additional set of parentheses. Usually chains like 6/2*3 are discouraged precisely because they can be interpreted wrongly.
The system I use is the BODMAS system.Libertine Seguros said:But it isn't.
That's what the whole crux of the problem is. It is ambiguous, and both readings are correct under different systems.
If you were writing it in a book you'd do it as eitherSparta said:The answers 9. You work from left to right as if you were reading a book.
I think that last may well be the correct answer in which case it's hardly even fun anymore.Libertine Seguros said:If you were writing it in a book you'd do it as either
6
_ (1+2) = 9
2
or
6
______ = 1
2 (1+2)
and then save us all the trouble.
If, as Captain Cavman points out, it was expressed algebraically as 6/2a where a is (1+2) (therefore 3), your first reading would be that it is 6 / (2x3) and therefore the answer is 1. This is the system that I learnt. You may have learnt the other system, and the logic behind the answer 9 is persuasive.
Basically, it's a poorly written equation that invites argument by being unclear. And that's the whole point of it.