So then you're saying 6/2(1+2) is a shorthand method of writing 6/2*(1+2)?
What I'm saying is that a lot of teachers / others will forego the necessity of putting the required parenthesis to represent distribution the way some people write it on homework / tests / etc., provided you have additional steps / a solution that show what you meant. That doesn't mean they aren't really required.
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Think about it like this:
John: Where do you want to go?
Frank: I want to go to the pool.
(Frank thinks to himself... I want to go to the park when I say I want to go to the pool.)
John: Sounds like a plan, let's go to the park.
You are John, and Frank is the problem in the above fictitious representation.
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Anyways, even if some indication were there and the parenthesis were not around the "2(1 * 2)" part, it is still technically wrong without the parenthesis. There is no alternative to the answer being nine in this particular problem as it is provided, and even if there were through some accepted time-saving technique that is applicable when further information is available to deduce the intention, it would technically be wrong anyways.
We already proven that those with ph.d in mathematics can get different results on this and that only an idiot would write it like that.
There is no problem with the problem. The problem is clear. There is a problem with some of the solutions that are being given -- all solutions given that are not nine.
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