Whether it's your first Bonnaroo or you’re a music festival veteran, we welcome you to Inforoo.
Here you'll find info about artists, rumors, camping tips, and the infamous Roo Clues. Have a look around then create an account and join in the fun. See you at Bonnaroo!!
I dont think I knew multiplication and division order were interchangeable. That makes more sense.
Yeah. I just learned today that in England they call it BEDMAS: brackets, exponents, division, multiplication, addition, subtraction. You can think of division and multiplication as sort of the same thing. Division is just multiplying by a fraction. Similarly, subtraction is just the addition of a negative number.
Post by piggy pablo on May 9, 2019 14:01:16 GMT -5
A lot of people don't like math, but I like that there's a right answer that you can end up with (usually, or at least in non-graduate-level math). And yeah, the problem solving aspect of it can be fun!
I think we just sorta teach it the wrong way and society (starting with parents) tells kids, especially girls, that it's hard. As someone who tutors occasionally that's cool for me because it's lucrative, but I'm always sorta looking at parents like "didn't you go to high school? Shouldn't you be able to tutor your kids a little bit?" But when I taught Precalculus it was really tough because so many students came in not really knowing fundamental stuff that we were trying to build on.
Multiplication and division are interchangeable in terms of order, and you work left to right. I think some people, myself included, psychologically just want to multiply/distribute the 2 after doing the addition inside the parentheses. Or they view it as a fraction, like 6 over the rest. But yeah, it's 9.
Don't you do the parenthesis ones first? That would make it 1. I don't math anymore. I know it's either 9 or 1 but I think it is 1, but snowman got me second guessing myself since he maths.
You do what’s inside the parentheses first, but then you do the division and multiplication left to right. So you dive 6 by 2, and then multiply that by the 3 that’s in the parentheses.
I dont think I knew multiplication and division order were interchangeable. That makes more sense.
Yeah. I just learned today that in England they call it BEDMAS: brackets, exponents, division, multiplication, addition, subtraction. You can think of division and multiplication as sort of the same thing. Division is just multiplying by a fraction. Similarly, subtraction is just the addition of a negative number.
There’s isn’t actually a correct answer because it’s written ambiguously intentionally so people will argue about it.
6÷2(1+2) written this way it’s 1.
6/2(1+2) written this way it’s 9, but most people will still say 1.
what? Are those signs not synonymous?
No, the bottom one is more ambiguous than the top. The ÷ more clearly delineates the numerator from the denominator. Most humans would read / the same way but a computer will churn out 9 instead of 1. But syntax is not math.
You said it was written ambiguously earlier and now you're saying the / is more ambiguous than the ÷. It was written with the ÷.
But everyone was using the two interchangeably, which is what makes it ambiguous. The fact that can’t be entered into a computer as written is also a mark in ambiguity’s favor.
What do you mean it can't be entered into a computer?
I put it into Wolfram Alpha with both symbols and both gave me 9.
Also, you made a distinction between the two symbols, in terms of their relative ambiguity.
Fine, not recognized in most languages. Wolfram is basically the only exception.
You’re getting caught up on the wrong thing here. I’m arguing the correct answer is that it’s ambiguous. As an example, I’m using the fact that I think one way people were writing it gives a different answer than another way. But the correct answer is still “it’s ambiguous”
Post by piggy pablo on May 9, 2019 14:35:28 GMT -5
I mean, clearly the Berkeley professor knows more about math than I do, but PEMDAS(IO) is taught basically everywhere. So, whether whatever definitive mathematical book of laws has it as a convention or not, I think it's pretty well-established for most people through their primary education that you would go in order. In that sense, I do not think it's ambiguous.
Also, I was just asking what you meant by that. I know what your overriding point is.
the number next to the parenthesis, 2(1+2), is an implicit way of writing 2*(1+2) , which would behave according to the standard order of operations. people may be confused because they remember the distributive property from algebra, which says that x(1+2) = 1x+2x ; but if you apply the distributive property to this equation as written (6÷2(1+2)) you are violating the order of operations (which are the social construct). In order for the distributive property to apply you would need another set of parentheses: 6÷(2(1+2)).
the "/" does make it more ambiguous from a computer text standpoint. with pencil and paper you can clearly draw the numerator/denominator. On the computer, most mathe programming languages (matlab, python) require explicit mathmatical operators. if I typed 6/2(1+2) into matlab, I get an error (due to the ambiguity). if I type 6/2*(1+2) I get 9.
I could get 1 is if you have 6/(2*(1+2).
as written though, it may be tricky, but the answer unambiguously 9 if you know how to apply your order of operations.
the number next to the parenthesis, 2(1+2), is an implicit way of writing 2*(1+2) , which would behave according to the standard order of operations. people may be confused because they remember the distributive property from algebra, which says that x(1+2) = 1x+2x ; but if you apply the distributive property to this equation as written (6÷2(1+2)) you are violating the order of operations (which are the social construct). In order for the distributive property to apply you would need another set of parentheses: 6÷(2(1+2)).
the "/" does make it more ambiguous from a computer text standpoint. with pencil and paper you can clearly draw the numerator/denominator. On the computer, most mathe programming languages (matlab, python) require explicit mathmatical operators. if I typed 6/2(1+2) into matlab, I get an error. if I type 6/2*(1+2) I get 9.
I could get 1 is if you have 6/(2*(1+2).
as written though, it may be tricky, but the answer unambiguously 9 if you know how to apply your order of operations.
the number next to the parenthesis, 2(1+2), is an implicit way of writing 2*(1+2) , which would behave according to the standard order of operations. people may be confused because they remember the distributive property from algebra, which says that x(1+2) = 1x+2x ; but if you apply the distributive property to this equation as written (6÷2(1+2)) you are violating the order of operations (which are the social construct). In order for the distributive property to apply you would need another set of parentheses: 6÷(2(1+2)).
the "/" does make it more ambiguous from a computer text standpoint. with pencil and paper you can clearly draw the numerator/denominator. On the computer, most mathe programming languages (matlab, python) require explicit mathmatical operators. if I typed 6/2(1+2) into matlab, I get an error. if I type 6/2*(1+2) I get 9.
I could get 1 is if you have 6/(2*(1+2).
as written though, it may be tricky, but the answer unambiguously 9 if you know how to apply your order of operations.
My argument is that when you use the obelus, it delineates what follows as the entire denominator, and is an implicit way of writing 6/(2(1+2))