Ioannes
Oh man, I shot Marvin in the face.
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Wrong! It's from left to right! (once brackets and exponents are completed)It is always multiplication before dividing
Wrong! It's from left to right! (once brackets and exponents are completed)It is always multiplication before dividing
You need to read my post, as well as tooltiperror's. Multiplication and Division both have the exact same precedence. You do not pick one or the other, you merely work them left to right. Read also the wikipedia article. Parenthesis only state that operations INSIDE them are done first. 1 * (2) has the EXACT same meaning as 1 * 2.Xienoph, you are correct so far so that it is "2 * 3", but then you are doing the dividing before your multiplying which is a big no.
It is always multiplication before dividing! And most certainly in this case since you have this:
Code:2 ( 3 ) they belong together, you can't just take away the two and divide it with the other crap. the two has to be multiplied into the parenthesis before you can remove it, thus making it like this: 6 / 2 * ( 1 + 2 ) = 6 / 2 * ( 3 ) = 6 / 6 = 1 Do you see it? You can't just remove the parenthesis without putting the number two there. Even my damn calculator did not get it and it was really damn expensive, that is probably what is so funny with the equation to begin with, the fact that all calculators get it wrong I mean.
How can I be wrong when I have said nothing different? The 2 before the brackets belong to the brackets, it has to be multiplied in before the brackets can be removed at all.Wrong! It's from left to right! (once brackets and exponents are completed)
___[U]6[/U]___
2*(1+2)
Nope.jpgThe 2 before the brackets belong to the brackets
Try adding brackets around a single pair of equations in the correct order. Your mind is playing tricks on you, the rest of that equation is not automatically bracketed together.How can I be wrong when I have said nothing different? The 2 before the brackets belong to the brackets
6/2(1+2) =
6
----------
2(1+2)
=
6
----------
6
I may have misspoken when I told Samael88 to reread your post. Yes, PEMDAS is leading, but not because you have to group Division before multiplication, or addition before subtraction. PEMDAS is misleading because for precedence, Parenthesis > Exponents > Multiplication = Division > Addition = Subtraction. This is the way it's stated everywhere, even in Wikipedia.Smith, you are wrong, we are right.
The stem of the debate is notation. In math there is only one right answer, but many ways of writing it.Code:6/2(1+2) = 6 ---------- 2(1+2) = 6 ---------- 6
1 + 1 = 2
1 + 1 + 1 - 1 = 2
1 + 1 + 1 + 1 - 1 - 1 = 2
6/2(1+2) =
6
----------
2(1+2)
=
6
----------
2(3)
=
6
----------
6
=
1
It depends on what calculator you are using. According to the wikipedia article I linked earlier, Windows Calculator will work in different ways, depending on if you have scientific mode on or not. It also states that with physical calculators, you will get different answers, depending on if the calculator has a stack or not (e.g. if it is implemented using a stack, you will get the answer following order of operations, if it does not, you might get a different answer, depending on the equation).I don't have to do any research. My math teachers (of whom have degrees in Mathematics) have taught me to treat division as grouping, and I will. What you say to my on these forums does not matter, and regardless of your qualification, I will do math the way my teachers have taught me.
3 / 4 * 2 is not 1.5, it is 0.375, because that is how I've learned grouping is done. That is how I get problems right on my quizzes, that is how I'm graded, and that's how I'll do my math.
If you are using the standard I have been taught with, that division indicates fractions and therefore they must be treated specially, then the answer is 1.
If you have been taught with the standard that Multiplication and Division are done left to right with no precedence given to either, then it is 9.
(is it worth noting my calculator spits out "6/2(1+2) = 1"?)
You are imagining a parenthesis, where it does not exist. In my entire education, which has been largely based on Math, no teacher (including College professors) ever said something like what you just said. Multiplication and Division are done left to right, with no precedence.I don't have to do any research. My math teachers (of whom have degrees in Mathematics) have taught me to treat division as grouping, and I will. What you say to my on these forums does not matter, and regardless of your qualification, I will do math the way my teachers have taught me.
3 / 4 * 2 is not 1.5, it is 0.375, because that is how I've learned grouping is done. That is how I get problems right on my quizzes, that is how I'm graded, and that's how I'll do my math.
If you are using the standard I have been taught with, that division indicates fractions and therefore they must be treated specially, then the answer is 1.Code:6/2(1+2) = 6 ---------- 2(1+2) = 6 ---------- 2(3) = 6 ---------- 6 = 1
If you have been taught with the standard that Multiplication and Division are done left to right with no precedence given to either, then it is 9.
(is it worth noting my calculator spits out "6/2(1+2) = 1"?)
if we could get some examples or some links which support a certain order or that describe a set of rules which are unambiguous, especially if specifically describe the case of juxtaposition, that would be great. (although if they specifically mention it, it is likely they have special precedence for it)perkeyone said:my question to you all is...
since this method of representing multiplication can be ambiguous, what changes, if any, do you think could be made to either the syntax of multiplication or (the wording of) the order of operations to avoid said ambiguity.
i am not asking whether you think the answer is 1 or 9. i am not asking for your math professor's expert opinion. i am asking for a set of rules for which such an equation would have only one valid interpretation.
Exactly, that is what makes that particular equation so funny.If you are using the standard I have been taught with, that division indicates fractions and therefore they must be treated specially, then the answer is 1.
If you have been taught with the standard that Multiplication and Division are done left to right with no precedence given to either, then it is 9.
Thanks, that is the only calculator I have heard of yet that have the correct way of handling this.(is it worth noting my calculator spits out "6/2(1+2) = 1"?)
_[U]6[/U]_
2 * (1+2)
Please explain those for us who does not have English as our first language.PE(MD)(AS)
P: Parenthesis (Brackets)Please explain those for us who does not have English as our first language.
Ah, then it is incorrect since Exponentials are prioritized before brackets.P: Parenthesis (Brackets)
E: Exponential (Indices)
(MD): Multiplication/Division - They both have the same priority so are read from left to right.
(AS): Addition/Subtraction - The same as (MD).