Edit: Guys the point is this isn't newsworthy and that the News is posting clickbait, you don't have to solve the maths lmao
why is there so much math content on chapo dot chat. i never expected to get mileage out of this username except in that one circumstance I made it for.
Mainly because this is a fuckin stupid article
To Millenials the answer is 1 and to Zs the answer is 9. Aren't numbers wild when put in confusing math problems.
The people bitching about postmodernism should poiint to this neoliberal clickbait BS.
I liked the revolutionary economic BS one.
Maybe all us nerds are celebrating pi day for a week because we don't drink.
yes because we were taught PEMDAS but 90% of us remembered it wrong, a lot think that multiply comes before division and addition before subtraction but it’s multiply OR divide (whichever comes first) and so on
i have no idea tbh, i’m gen z so i’ve seen a lot of people my age make that mistake and remember PEMDAS incorrectly
Oh same, I thought you were saying millennials are the ones misremembering PEMDAS because they haven't been in school in like 20 years.
I was taught whatever is in () first then multiply divide, then addition subtraction. [()] [X,/] [+,-] There was no hiarchy between multiplication and division or addition or subtraction.
, so distribute the two 2(1+2) = (2x1) + (2x2) or 2+4=6 or solve and distribute 2x3=6 and 6/6 =1
I've never heard of "pemdas."
a lot think that multiply comes before division and addition ... but it’s multiply OR divide (whichever comes first)
Wait how is it not 9 following in that case? Following what you described I don't see how you could get 1
Starting equation: 6 ÷ 2(1+2)
Step 1, parenthesis first: 6 ÷ 2(3)
Step 2, division, because it comes first: 3(3)
Step 3, multiplication: 9
If you assume multiplication should always comes before division then you get 1: 6 ÷ 2(3) = 6 ÷ 6
The answer is 11.
I respond to all badly written tricky math questions by simply adding all the numbers together :gigachad:
These are always annoying cause the way its written is just invalid from a strict notation/algebra sense and thats why there are "2 answers". But maths arent up to interpretation and notations shouldnt either and you would never find something written like this in a math textbook or problem . You will find
6/(2(1+2)) =1 or (6/2)(1+2) or 6(1+2)/2
Mnemonic rules are useless when the notation isnt clear on whether the (1+2) is multiplied with the denominator or the numerator of 6/2 or worse yet if you use a division sign no one uses for even simple maths
got you
as other commenters have said, it's ambiguous whether to multiply before dividing or vice versa. I multiplied first and tbh i forgot whether that is correct or not
i did too before reading this thread, then I had doubts
Every time you see one of these, know the intention is to be deliberately vague with notation so that the answer becomes ambiguous.
There isn't a soul on this planet who uses the division symbol when representating anything serious mathematically...they would opt for fractional notation which includes implicit parenthesis that make the calculation unambiguous.
You should associate the division symbol with this artificial ambiguity.
This is why graphing calculators usually come with a booklet explaining how they process order of operations and sometimes tell you to reduce ambiguity by breaking the expression down into multiple calculations.
I hate these so much because no one would write an equation that unclear.
Usually fractions are used instead of a division sign, and usually implicit multiplication (the part with 2(1+2) ) is done first in how things are normally written.
My first reflex is 6÷2(1+2) = 6÷2(3) = 6÷6 = 1, even though that's wrong.
If it was written as 6÷2×(1+2) everyone would get it right.
Normally it'd probably be (6/2)(1+2). Or 6(½)(1+2).
So it’s (1+2) first, which is 3. Now you open the brackets, which means 2*3, which is 6. Then 6%6 is 1.
I know if it was written like 6%2*3 then it would be 9 because you divide first.
Im confused.
We were taught when you put a number in front of brackets 2(1+2) it means to distribute it as in (2x1)+ (2x2) = 2+4 = 6
Since it is written 6/2(1+2) it is also written as
6
2(1+2)
Thus the separation. So the end 6/6 = 1
You're treating the ÷ (aka /) like everything on the left of it is the numerator (top) and everything to the right is a denominator (bottom).
When equations like this are written in a single line, you don't assume this, you only assume that the numbers touching the division are part of the fraction. So the 6 is the top, 2 is the bottom. What you did is 6/(2(1+3)). The trick part is that you'd probably know this if the original was written as (6/2)×(1+2)
You were taught to use the distributive property first, which is weird because it makes these calculations harder. It makes later algebra (with letters instead of numbers) easier which I'm guessing is why you were taught that way.
The distributive property comes from how addition and multiplication interact with each other, since the 2(1+2) is actually the same as 2×(1+2), we just don't usually write the × explicitly.
You should do operations IN the brackets first, but your distributive thing is equivalent if you're careful. The distribution is equivalent to doing a ×, and it doesn't take priority over other × operations, or the ÷ operation. × and ÷ are done in order as they appear left to right if using BEDMAS.
Brackets first, then exponents, then division/multiplication (in order as they appear left to right) and then addition/subtraction (in order as they appear)
In this bullshit trick question, the ÷ and the implied × in 2(1+2) are the same 'priority' in the usual order of operations, so you just do them in order as they appear left to right.
Way I was taught to do BEDMAS (order of operations):
= 6÷2(1+2) = 6 ÷ 2 × 3 = 3 × 3 = 9
If I wanted to use your distributive property with fractions then I'd do:
= 6÷2(1+2) = (6/2)(1+2) = 1(6/2) + 2(6/2) = 6/2 + 12/2 = 18/2 = 9
Distributive property no fractions:
= 6÷2(1+2) = 3(1+2) = 3(1)+3(2) = 3+6 = 9
Brackets exponents division multiplication addition subtraction
Division and multiplication are on the same order of operations, so after you solve the equation in the brackets you can just do the sum from left to right. 6/2 *3 = 9.
At least that's what I remember from school
Where people get confused is that they believe that multiplication should be done before division or vice versa, usually because of the acronym they used to memorize the order of operations. Or they try expand the brackets. Or they see everything to the right of the division sign as part of the denominator. Or they grew up in the 80s when calculators were programmed incorrectly because of something called implied multiplication. (I'm not sure about the calculator one, I wasn't alive back then).
It’s common convention in mathematics to do implied multiplication before explicit ones… but this question is a troll so let’s not get trolled
It's an easy mistake to make, I've added what I think are the main reasons people get it wrong. I'm definitely guilty of seeing everything to the right of a division sign as part of the denominator of a fraction of I don't focus.
You're too modest! You got it right. 2 correct answers. It’s also 1 which is what I got. The problem is in the way it's written.
my confusion is more of a notation one here, like i know the order but you could read this as 6 divided by 2 times 1 plus 2 so 6/2*3 and then 1 , if they just used they fraction symbol this wouldn't be so confusing
Yeah that's the one I learnt. But I think there's another one called PEMDAS or something
Correct answers are 1 and 9. It's a division problem with an additional 1 kn the problem. So the correct answer is 9/11
The lesson here is that any notation system with operator signs for multiplication and division is shit.
frankly the division sign is why this is dumb. its 9. normal people write it with a slash. its because they treat the 6/2 as a fraction that it is 9.
This isn't so much a math problem but rather a problem with math.
Not a problem with mathematics, it's a problem with notation
I really don't feel like this one is even ambiguous. Without further information why would you ever divide before multiplying? And even then it's not ambiguous, it's just a matter of what order of operations you prefer (arbitrary, a matter of notation rather than math).
If you're a weirdo who does prefer to divide first then it's 9. Otherwise it's 1. Where's the confusion?
If you’re a weirdo who does prefer to divide first then it’s 9.
The way I was taught the order of operations (BEDMAS: Brackets Exponents Division Multiplication Addition Subtraction) makes me divide first :kitty-cri:
I was taught that division/multiplication were the same step and you do them left to right. But I also never saw that dividing symbol again after 8th grade
I don't get why we're ever taught to use ÷
They should just start by teaching it as /
:farquaad-point: everyone look at this weirdo dividing first, I love bullying :sicko-pig:
:kitty-cri-screm: I'M BAD AT MATH OKAY MY AREA IS ECOLOGY
I learned BEMDAS in school, so I always multiplied first, but also I would just do this wrong anyway by counting multiplying as brackets
It is alone. It's a 6 which you divide either by 2 or by the result of 2(1+2) depending on order of operations. All you're saying is "divide first and then you get 9" which I already said.
But those mean the same thing. The problem is six divided by two times three. The problem is that regardless of what symbols you use to represent it. The only question is whether you treat it as (six divided by two) times three or as six divided by (two times three) which is purely a question of order of operation.
This is why public education is bad. Children could be working and covering the cost of their own meals, but instead they waste all day learning math memes and acting entitled to food.
Regardless of getting the oRdER oF oPErAtiOnS right, why would knowing how to do this ever actually matter in real life? I've made it 20 years in my professional life and don't need to know shit like this. It's like expecting people to remember what color the curtains were in novel