Sorry I read the / like a large division sign, saying that 6 was divided by 3(2+1) rather than just 3. That's why you don't type **** like this but write it down.
your math in wrong, the answer is 2/3
distribution into brackets take place before anything outside the brackets
6 / 3 ( 2 +1 ) => 6 / 3 ( 3 ) => distribute => 6 / 9 => 2/3
I'm an electrical engineer i know math
What the hell is wrong with you. Everyone is telling you distribution doesn't get any precedence. It's not "in" the brackets. it's normal multiplication.
The fact that you're an electrical engineer scares me.
actually you're incorrect because multiplication/division go at the same time from left to right, same with addition/subtraction so 6/3(2+1)=6/3*3=2*3=6, google it if you don't believe me, the last 4 letters of pemdas are put into 2 groups M/D and A/S
@ ohshoot no he didn't, i have no idea what he did but he didn't do that because 6/(3(2+1) = 6/(3*3)= 6/9=1.5 I think what he did was divided twice somehow, (6/3)/(2+1) which would give him 2/3.
for the love of christ you always move from left to right while keeping PEMDAS in mind, parenthesis go first, then exponents, multiplication/division go at the same time as do addition/subtraction. 6/3(2+1)= 6/3*3=2*3=6
the 3 touching the parentheses must be distributed before the division. it's not simply a multiplication. all interactions with the parentheses must be done first
It is a simple multiplication, the 2+1 is not in the denominator, it's in the numerator.
6 / 3 * (2 +1)
becomes 6 / 3 * (3)not 6 / (3 * 3)
now left to right
2 * (3)
and finally
6
canichaikait is right. If you want to distribute, you are doing it incorrectly. You don't just distribute the 3, you distribute 6/3, which is 2. This is due to Order of Operations.
Therefore: 2(1+2) = 2+4 = 6.
Or you don't have to distribute:
6 / 3 (2 + 1) = 2 (3) = 6
I think you are getting confused with distribution. People think its a separate operation, when it's not. Just normal multiplication. That's why you can write 2 x 2 as 2(2). Or (2)(2). Brackets tend to throw people off, as in this case.
You can use Wolfram Alpha to validate (as other commenters have done). It's a highly intelligent type of calculator, capable of doing complex (somewhat) things like matrix operations. I think the paid version even does a little calculus, though I'm not sure.
IT"S NORMAL MULTIPLICATION YOU ******* MORON.
The fact that you don't even check your facts after everyone is telling you is pissing me off.
Actually, I wouldn't be so damn angry if you didn't say you were an electrical engineer.
Well, you must be one dumb electrical engineer. I'm a computer scientist and math minor. It's 6.
You think distribution gets some sort of precedence when it doesn't. It counts as normal multiplication.
(3(2+1)) is the same thing as (3*2)+(3*1) your problem is that there isn't that extra set of parenthesis and you have to take the whole problem into account MD are the same importance so you do both multiplication and division on your same run through left to right so 6/3(2+1) if you wanted to distribute then you'd have to resolve the outer division before you distribute 6/3(2+1) = 2(2+1) = (2*2)+(2*1) = 4+2 = 6 if you didn't have to divide by 6 then yeah you could easily distribute and get 9, but 6/3(2+1) is the same as (6/3)(2+1)
Both ways will result in the same answer (Following PEMDAS, Namely Multiplication before division)
you only use distribution if the value is unknown.
now some calculators work differently that they read from left to right without order of operations except parenthesis
6÷(3×(2+1)), you need to write this to force the calculator to do PEMDAS, since caluclators only knows that parenthesis goes first before their chained input (left to right computing)
advanced calculators don't have these problems
By using the proper method, Parenthesis first, then exponents, then division/multiplication (from left to right), addition and subtraction (from left to right)
6÷3×(2+1)
6÷3×3
2×3
6
so yeah its not their fault, its PEMDAS's fault
since im a programmer, i learned to deal with it by slapping the formula with tons of parenthesis to avoid confusion
like getting a percentage, n/100xpercent, in which if pemdas'ed will result in the wrong answer, so i will make it (n//100)x(percent), which is non-confusing to read
anyways pemdas is kinda confusing since MD and AS means multiplication before division, and addition before subrtaction. which is wrong since Multiplication and division has the same precedence. and addition and subtraction has the same precedence, you will just have to calculate them from left to right
like our dear example (your solution)
6÷3×(2+1) [parenthesis first]
6÷3×3 [multiplication and division from left to right, here division goes first because its closer to the left]
2×3 [Then multiplication]
6
Thank you for explaining it, I was gone for a while so I only came back to this mess.
I don't understand that these people never had any algebra I learned this in my first year of highschool. If it wasn't true basic math rules like the following wouldn't be true.
3(x+1) = 3x+3
Yeah I guess it's true there should be a parenthesis, but most sane people leave it out when doing algebra because there is no reason to write it like this. It actually says:
6/3 * (2+1), but at first glance I didn't read it like that since I'm used to read division symbols like in the picture.
I do it differently and still does it right 6/3*3 = 6, division and multiplication have the same priority so why would I make it 2*3=6, at first I got confused by your answer because of the number 2
the problems is people are taking PEMDAS too strictly, they feel that you first do multiplication in all problems, then you can do division so in their mind they're doing
P
6/3(2+1)=6/3*3
M
6/3*3=6/9
D
6/9=2/3
when in reality MD and AS are grouped and done at the same time from left to right which would be
MD
6/3*3 = 2*3=6
which is correct
Oooooh, so thats why.
We don't have that **** in switzerland, they say if you're too stupid to remember the sequence, you're too stupid for it anyway and should write it down.
yeah here in the U.S. they teach order of operations as Paranthesis, exponents, multiplication, division, addition, subtraction with Multiplication and division, and addition and subtraction grouped but i guess people forget that MD are supposed to be done at the same time.
huh, in first grade they just thaught us "dots before lines", but our division sign was ":" not the same with the vertical line in the middle. Im not even sure if my keyboard has that button.... i sure can't find it
oh, yeah often times we use * for multiplication where we can't get just a middle dot too * and : before + and -, that's a pretty good system, though when i was first taught, they told me x was multiplication which just made it annoying when X became a variable later in my education.
Yeah, believable. Hell, when i entered advanced education, we even had an asshole that just left an empty space and expected us to know that it meant to multiply.
I mean, its basic that when there's nothing, it usually means it gets multiplied, like in the brackets, but **** that guy.....
Clearly there are different interpretations for the picture. That alone makes the picture unclear and ****** . More Parenthesis could have solved that problem.
yeah, that or you know, a basic understanding of the order of operations. the entire reason for the order of operations is so you don't have to have a million parenthesis to do a problem.
There is always someone who can't get the answer right, and won't budge when people tell them the correct answer. So people keep trying to explain it to them.
As you can see below, this is one of those cases.
It's tricky, if you don't remember, a proper order of mathematical operations. At first - operations in brackets. At first
divide and multiply, then adding and subtraction.
After solving operations in brackets, you must solve divide and multiply at first. (They are equally, their the order is from left to right). And at the end, you make a adding and subtractions ( They are equally too, their the order is from left to right .)
i can see it. fun fact if you didn't notice: that's an elongated version of myopicprophet's nipples. the areola looked surprisingly like a dick head when warped, so i decided to treat it as such.
Funnyjunk formula:
1. Post un-funny comic about guy and hot girlfriend
2. Nearly every single comment is a crappy photoshop of people circlejerking to nipples.
The fact that you believed this was funny enough to create and then post shows such a massive lack of judgement that this seems like a plausible real life scenario for you.
I feel like Legacy Control is the worst comic I've seen. Like wow, guy with weird burnt marshmallow nipples is dating is extremely attractive woman and does weird, barely laughable antics. Oh boy. This comic is like the abortion in CAD translated into an entire series.
It's easy to go after people who make and share things. Much easier than making things yourself. If you dislike what Myopic is doing, and I'll be honest sometimes his strips are hit or miss but they make me happy anyway, go make something that is subjectively better to you and move on with your life anon. The world would be an awesome place if even half the population made things themselves. **** I know my stuff needs work but at least I'm putting myself out there and trying to improve.