Doesn't matter.
(2)(3) is the same thing as 2(3). Everything dealing with a () must be resolved before you can move on to the other parts of the problem.
You keep saying that the parentheses are nothing but a multiplier, and so it's relegated to being counted as multiplication, but I think that's kind of the point. You use a parenthesis in place of a multiplication sign specifically to dictate it's order, hence why you do those as part of P in pemdas.While I'm I haven't done this math in quite some time. I remember nothing about the rules saying anything about a multiplier next to the brackets having to be done first. It really is nothing more than a multiplier, so once again following the rules, that I posted earlier it's done after the division.
Unless you or anyone else can actually find that rule in writing, then I'll retract my answer, but as it stands and from what I remember of my ancient schooling then I stand by my answer of 9.
Like someone else on online calculators and it comes up with 9.
You keep saying that the parentheses are nothing but a multiplier, and so it's relegated to being counted as multiplication, but I think that's kind of the point. You use a parenthesis in place of a multiplication sign specifically to dictate it's order, hence why you do those as part of P in pemdas.
The answer is 9. Unless of course it's 6 OVER 2(1+2), in which case it's 1... but you said DIVIDED BY; ergo, answer is 9.
This thread is why I hate math with every fiber of my being.
I hope I can end this with this example from this page. I post the example below. According to the rules, the answer is one. The author admits that there is always arguing when applying this rule to such problematic equations.
From the article:
This next example displays an issue that almost never arises but, when it does, there seems to be no end to the arguing.
Simplify 16 ÷ 2[8 3(4 2)] + 1.
16 ÷ 2[8 3(4 2)] + 1
= 16 ÷ 2[8 3(2)] + 1
= 16 ÷ 2[8 6] + 1
= 16 ÷ 2[2] + 1 (**)
= 16 ÷ 4 + 1
= 4 + 1
= 5
The confusing part in the above calculation is how "16 divided by 2[2] + 1" (in the line marked with the double-star) becomes "16 divided by 4 + 1", instead of "8 times by 2 + 1". That's because, even though multiplication and division are at the same level (so the left-to-right rule should apply), parentheses outrank division, so the first 2 goes with the [2], rather than with the "16 divided by". That is, multiplication that is indicated by placement against parentheses (or brackets, etc) is "stronger" than "regular" multiplication. Typesetting the entire problem in a graphing calculator verifies this hierarchy:
(graphic on page)
Note that different software will process this differently; even different models of Texas Instruments graphing calculators will process this differently. In cases of ambiguity, be very careful of your parentheses, and make your meaning clear. The general consensus among math people is that "multiplication by juxtaposition" (that is, multiplying by just putting things next to each other, rather than using the "×" sign) indicates that the juxtaposed values must be multiplied together before processing other operations. But not all software is programmed this way, and sometimes teachers view things differently. If in doubt, ask!
Never.YAY! The 9'ers admit defeat.
You use the parenthesis to dictate the order of what is inside them, not what is outside or beside it. The only thing the parenthesis does is tell you that function first. Anything outside whether it's multiplier or not is still done in the standard order. So in the sample provided the multiplication comes after the division even though it's beside the bracket.
This thread is why I hate math with every fiber of my being.
As some of you have probably seen, one of those new Facebook apps where you can take polls is asking people the answer to this solution:
6 divided by 2(1+2)=?
Possible answers are 1 and 9. I can't find a division symbol on my keyboard, so... just imagine it in between the 6 and 2.
I have people very vehemently insisting to me that the answer is 9. Now, when I was in grade/middle school, they always had us use the PEMDAS order, which would have the answer be 1. To this point, I've gotten several condescending remarks about not trusting my education, and people straight up saying PEMDAS (parantheses, exponents, multiplication, division, addition, subtraction as the order to work out equations) isn't right.
I feel the whole thing is a little silly, but people are REALLY starting to annoy me over it.
Now, now. Don't hate math. This is the fault of an imprecise mathematical notation, and a poorly written problem. If there's ever ambiguity in a math problem, that a sign it's poorly written.
It's funny how many people say they hate math, when they do it every day. One of my professors used to teach an adult math class for beginners. He noticed that very few people could properly do a problem like:
653 + 288
But, if he gave them this problem
$6.53 + $2.88
most of them could do it without issue.