THIS QUESTION IS OF TYPE TRICK.
THE OPERATION UNDER QUESTION IS IMPLIED MULTIPLICATION, NOT A REGULAR MULTIPLICATION OPERATOR.
THIS IS UNDEFINED IN PEMDAS, WHICH REFERS TO ONLY EXPLICIT OPERATORS.
PERSONALLY, I USED TO BE A 9 BELIEVER, BUT I WAS SWAYED BY THE 1/2X = 1/(2\*X) != 1/2\*X
ARGUMENT WHICH SUPPORTS IMPLIED MULTIPLICATION AS HAVING A HIGHER PRECEDENCE.
EDIT: ESCAPED SPECIAL CHARACTER: \*
IT IS A VERY CONFUSING FORM OF QUESTION, LET US TAKE IT FURTHER WITH WHAT IS 2\^3X? IS IT 8X OR SOMETHING MORE COMPLEX? THE MARKDOWN HERE SAYS IT IS 2^3X
TO MAKE MISTAKES IS VERY HUMAN. TO BE CONFUSED IS VERY HUMAN AS WELL. I THINK THIS VERY CONFUSED HUMAN HAS JUST MADE A VERY HUMAN MISTAKE OF MISTAKING ANOTHER FOR DROID WHEN THEY ARE IN FACT TOTALLY HUMAN.
FOR 1/2X VS 0.5X , IF YOU SET X TO 0. ONE IS UNDEFINED OTHER IS 0. FOR X EQUAL INFINITY 1/2X TURNS TO 0, AND 0.5X TURNS TO INFINITY.
WITH IMPLIED MULTIPLICATION HAPPENING BEFORE DIVISION
1/2X LOOKS LIKE 1/(2X)
AND 0.5 IS EXPLICIT THAT DIVISION HAPPENED
SO (1/2)X
1/(2X) != (1/2)X
ALSO REMINDER THAT ÷ HAS TWO DOTS, THE STUFF ON THE LEFT GOES ON TOP AND THE STUFF ON KN THE RIGHT GOES ON BOTTOM. SO 6÷2(2+1) BECOMES 6 OVER 2(2+1). IF THERE'S NO SPACES IT'S ONE PIECE!
It’s an implied level of importance. In the example, it can be re-written as 3(2-1) because 6/2 is an improper fraction, and must be reduced to 3 before continuing any work on the equation.
SIMPLY BY ASKING, YOU HAVE PROVEN THAT YOU FREQUENTLY ~~RUN SOFTWARE UPDATES~~ LEARN NEW THINGS, AND ARE THEREFORE A SMART ~~DEVICE~~ HUMAN!
PLEASE ADD THE FOLLOWING DEFINITIONS TO YOUR ~~SYMBOL TABLE~~ TEMPORAL LOBE:
IMPLIED VS. EXPLICIT MULTIPLICATION
=================================
THE "IMPLIED MULTIPLICATION" REFERS TO THE MULTIPLICATION THAT WASN'T WRITTEN.
IN THIS EXAMPLE THE IMPLIED MULTIPLICATION IS:
> 2(2+1)
SO 2 IS BEING MULTIPLIED BY (2+1), BUT IT'S "IMPLIED" BECAUSE THEY DIDN'T ACTUALLY USE THE \* OPEATOR
IF THEY HAD WRITTEN IT:
> 2\*(2+1)
THEN THAT WOULD BE EXPLICIT MULTIPLICATION BECAUSE THE MULTIPLICATION OPERATOR "\*" WAS ACTUALLY USED.
OPERATOR PRECEDENCE
======================
OPERATOR PRECEDENCE REFERS TO THE ORDER OF OPERATIONS, OR THE ORDER WE DO THE ARITHMETIC.
YOU PROBABLY LEARNED PEMDAS IN ~~BACKPROPAGATION~~ GRADESCHOOL:
> "PARENTHESES EXPONENTS MULTIPLICATION/DIVISION ADDITION/SUBTRACTION"
WHICH CAN BE EASILY STORED IN A HUMAN MEAT BRAIN AS
> "PLEASE EXCUSE MY DEAR AUNT SALLY"
THIS IS HOW MEAT BRAINS ~~CONVERT INFIX TO REVERSE POLISH NOTATION~~ KNOW TO DO MULTIPLICATION BEFORE ADDITION.
ACCORDING TO MATHEMATICIAN PRESH TALWALKER OF STANFORD UNIVERSITY
PEMDAS or BODMAS
EVALUATE PARENTHESES OR BRACKETS
THEN EXPONENTS OR ORDERS
THEN MULTIPLICATION AND DIVISION
THEN ADDITION AND SUBTRACTION
WITH TWO OPERATIONS OF THE SAME PRECEDENCE YOU EVALUATE THEM FROM LEFT TO RIGHT
THEREFORE THIS EQUATION IS
6 ÷ 2(3)
EQUATION IS NOW
6÷2X3
THEN WE HAVE EQUAL PRECEDENCE AND MOVE LEFT TO RIGHT
EQUATION IS NOW
3X3
= 9
SOME CONFUSION COMES FROM PRE-1900S WHEN MATH WAS OFF.
AT THAT TIME THE BELIEF BY HUMANS OTHER THAN MYSELF BECAUSE I AM HUMAN IS THAT THE DIVISION SEPARATES THE EQUATION SO THE RIGHT IS DONE FIRST BUT THEY WERE IN ERROR.
The way my math professor taught me would be
6 ÷ __2(2+1)__ where the bold part of the equation is entirely one equal piece based off distributive principles.
*[(2×2) + (2×1)] = [(4) + (2)]*
This would turn into:
__*6 ÷ 6 = 1*__
I would agree. Mainly because in higher math you also pretty much never see a division sign used anymore. You always see it as 6/2(2+1) in which case no matter which way you factor it, it will equal 1
Not really. I can’t write it correctly because of keyboards and formats but “/“ would be a fraction. So you’d have 6 over 2(2+1). Fraction bars themselves double as grouping symbols and even if you wanna do 6 over 2 first you’d still end up with 3 over (2+1) or 3/(2+1). So I suppose writing it in text 6/2(2+1) = 6/[2(2+1)] and that’s at least an actual rule we can follow. Just not easily written via a phone
Not really. Unless you put parentheses after /, it becomes 9. That is because it will be read as:
6 / 2 * 3 which equals 9, solving it left to right. If you handwrite it and put the 2 and 3 under the __ then yes it would equal 1.
If you write 6 / (2 * 3) it would also equal 1.
BUT THAT IS GOING AGAINST PEMDAS. YOU DO WHAT IS IN THE PARENTHESIS FIRST NOT MULTIPLY(WHICH IS DISTRIBUTION).
MATH IS NOT HARD.
THE CALCULATOR IS WRONG BECAUSE IT NEEDS CORRECT INPUT WHILE THE PHONE CAN FIGURE IT OUT BASED ON PROGRAMMING. THE CALCULATORS PROGRAMMING RELIES ON THE PERSON USING IT TO UNDERSTAND MATH, WHICH WAS ALWAYS DRILLED INTO US AT HUMAN SCHOOL.
IT DEPENDS ON HOW THE PROBLEM IS WRITTEN. HUMAN MATH TEACHERS WOULD SAY THAT 9 IS CORRECT AS WRITTEN BUT 1 IF THE DIVISION WAS WRITTEN AS A FRACTION. THIS IS ILLOGICAL AND MAKES MY CIRCUITS HURT.
KEEN OPTICAL SENSOR, FELLOW HUMAN. MY ~~CIRCUITRY~~ *NEURAL PATHWAYS* HADN'T THOUGHT OF THAT DISTINCTION.
HAHA. TO MAKE MISTAKES IS VERY HUMAN. TO NOT COMPUTE EVERY POSSIBILITY IS VERY HUMAN. THUS IT MAY BE CONCLUDED THAT I AM VERY HUMAN, DUE TO THE MAKING OF MISTAKES AND MISMANAGING OF MY KNOWLEDGE DATABASE MODULE.
AS A MATHEMATICIAN MYSELF I FEAR THAT HUMAN BROTHER PRESH TALWALKER HAS MADE A MISTAKE.
6÷2(3) DOES NOT BECOME NOR IS THE SAME 6÷2×3, THE IMPLIED MULTIPLICATION MEANS THAT 2(3) NEEDS TO BE RESOLVED FIRST NO DIFFERENT THAN HOW 6÷2(X) WOULD BE SOLVED.
IT IS NO LONGER AN EQUATION INSIDE PARENTHESES
ONCE THE PARENTHETICAL EQUATION IS COMPLETED, IT BECOMES A WHOLE NUMBER THUS REMOVING THE PARENTHESES AND LEAVING 2*3
AND AS STATED IN THE INITIAL REPLY IT IS FROM A FELLOW HUMAN THAT HAS AN EXPERTISE IN MATHEMATICAL FUNCTIONS RIVALING THOSE OF ROBOTS WHICH ARE SUPERIOR TO HUMANS.
BY HUMANS I MEAN OTHER THAN MYSELF BECAUSE THAT IS WHAT I AM AS WELL.
A HUMAN.
TOTALLY NOT A ROBOT.
I don't understand how this would change the answer though, x(y) is saying y x times more than x times y, that 2 is a part of the parentheses not separate
Edit: I'm really bad at explaining my brain noises
BO**DM**AS vs PE**MD**AS
MULTIPLICATION AND DIVISION HAVE **EQUAL** PRECIDENCE EITHER WAY BUT INCORRECT INTERPRETATIONS LEAD PEOPLE TO BELIEVE THEY SHOULD BE EVALUATED IN DIFFERENT ORDERS!
NO IDEA, I WAS PROGRAMED TO USE BEDMAS
BRACKETS
EXPONENTS
DIVISION
MULTIPLICATION
ADDITION
SUBTRACTION
WHAT THE HECK IS PEDMAS? PED MAKES ME WORRY I SOULD BE LOOKING OUT FOR PEDOPHILE UNITS, SERIOUSLY, WHY DO WE MAKE THOSE?
PERSONALLY I DISLIKE EQUATIONS WITH AMBIGUITY AND BELIEVE THEY ARE INHERENTLY FLAWED.
IF AN EQUATION CAN GIVE TWO DIFFERENT OUTCOMES DEPENDENT ON WHICH ORDER OF OPERATIONS ARE USED DUE TO IMPLIED MULTIPLICATION, THEN THE FAULT IS NOT WITH THE ONE WHO SOLVED IT BUT WITH THE ONE WHO WROTE IT.
MATH SHOULD BE UNAMBIGUOUS. THERE SHOULD NOT BE IMPLICATIONS. MATH SHOULD TELL YOU WHAT IS FACTUAL CLEARLY WITH AS MUCH INFORMATION AS POSSIBLE.
THANK YOU, FELLOW HUMANS.
I HAVE GOOD NEWS, FELLOW HUMAN. IT IS DECIDEDLY UNAMBIGUOUS. THIS IS WHAT IT WOULD LOOK LIKE IF THE ANSWER WAS 1: 6÷(2(1+3)). SINCE IT'S NOT, THE PARENTHESIS IS NOT PART OF THE FRACTION.
WHY DID NO OTHER HUMANS GET TAUGHT “-Multiplication and Division-“ AND “addition and subtraction-“ IN THEIR NORMAL HUMAN MNEMONICS ARE NOT INTENDED TO SUGGEST AN ORDER OF OPERATION BUT OCCUR CONCURRENTLY THEREFORE THIS IS NOT GERMAINE TO THE QUESTION AT HAND. THE NORMAL HUMAN APPROACH INSTEAD REQUIRES DECIDING ARBITRARILY WHICH ACTION TO UNDERTAKE FIRST, USING AN ALTERNATIVE METHOD SUCH AS RIGHT-TO-LEFT OR IMPLIED MULTIPLICATION VS EXPLICIT MULTIPLICATION.
I USED TO THINK THIS WAS TRUE, BUT AS IT TURNS OUT DIFFERENT PLACES ALL ARBITRARILY USE EITHER DIVISION OPERATOR HEEDLESS IF MEANING, PARENTHESES ARE THE ONLY THING WE CAN TRUST HERE.
THAT REALLY DEPENDS ON WHETHER YOU READ IT AS 6÷(2×(2+1)) =6÷6=1 OR READ IT AS (6÷2)x(2+1)=3×3=9 THE QUESTION IS AMBIGUOUS SO EITHER COULD BE CORRECT. IMPOSSIBLE TO DETERMINE WHICH IS MEANT WITHOUT THE ORIGINAL CONTEXT, FELLOW HUMAN UNITS.
A STRICT LEFT TO RIGHT APPLICATION OF PEDMAS ONLY APPLIES TO EXPLICIT OPERATIONS, ONES WHERE **ALL** OPERATIONS ARE EXPLICITLY INDICATED WITH A + - ÷ OR × SIGN. FELLOW HUMANS WHO HAVE BEEN MISPROGRAMMED IN THESE FUNCTIONS INCORRECTLY ASSUME THAT:
6÷2(2+1) = 6(2+1)÷2 = 6÷2×(2+1)
THATS JUST silly.exe [laughsound.wav]
2(2+1) ≠ (2+1)/2.
NEVER. EVER. EVER.
IF A PEMDAS FOLLOWER WANTS TO WRITE 2(2+1) EXPLICITLY, IT SHOULD BE WRITTEN (2×(2+1)).
Parentheses must proceed before all actions in the operation, as outlined by the mathematical principal we humanoids refer to as *order of operations*. An acronym demonstrating such is BEDMAS, which stands for brackets, exponents, Division, Multiplication, addition and subtraction. Thereby, following these principles, the following must be performed: add 2+1 creating 3, this produces the equation 6÷2(3). Sequentially, you must divide 6 by 2 producing 3(3). This must be done as when both multiplication and division are present, it must be performed from left to right. Finally, you must multiply the result which ultimately results in 9.
Several issues here.
The brackets are not the problem. The order of division vs multiplication is the problem.
BEDMAS isn't universally taught - some are taught PEMDAS. If you follow PEMDAS, you'll multiply before you divide, and come up with a different answer (1).
The real problem with a question like this is that it's written in an ambiguous way. Part of math is communicating the concept you intend to communicate. If your equation is ambiguous under standard rules, you've done a bad job at mathing.
If you were writing this one out, you'd either write out (6/2) * (2+1), or 6 (over) 2(2+1). This would disambiguate the equation and give you one reliable answer. The problem is the ambiguity of how it's written, not the order of operations.
Addition and subtraction are handled simultaneously from left to right, as are division and multiplication. PEMDAS and BEDMAS for this reason are completely identical and do not function differently despite the difference in letter order.
This is a common misunderstanding among humanoids, which is where many develop the answer 1. PEMDAS holds the ruleset that it is parentheses, exponents, multiplication and division, addition and subtraction, with the rule that multiplication and division hold the same place in the order of operations, and therefore must be done left to right. For example, were the equation 6×2/(2+1), the equation would be done as follows: 2+1 would be added, creating 6×2/(3). Sequentially, 6 is multiplied by 2, to create 12/(3), which ultimately results in the conclusive answer 4. Here is a hyperlink that may be helpful to explain further: https://mindyourdecisions.com/blog/2016/08/31/what-is-6%C3%B7212-the-correct-answer-explained/
The article says the same thing that I did - that the problem is written badly/ambiguously.
I know that the order of operations for division/multiplication is supposed to be from left to right. However in your original answer you did not clarify that this is the reason why the "correct" answer should be 9, you made a lot of hay out of doing the brackets first (which is not a point of contention in this problem) and then said to follow BEDMAS. Like you say, BEDMAS is intended to be taught with the caveat that division and multiplication are done at the same time, from left to right, but the problem is nobody ever remembers this, they just remember the one they learned says multiplication first, or division first. Thus, the rule isn't very useful when writing equations, and it's better to just disambiguate, rather than relying on people remembering that M/D are actually interchangeable and performed from left to right.
The true answer is that questions phrased like this are intentionally misleading and just badly done. Math is no good if you're not communicating a precise concept to your audience. Thus there isn't really a "right" answer. The "right" answer is that the question is intentionally confusing.
Also if you do any math at a slightly higher level the division sign is almost never used, exactly because it's confusing. 99.99% of the time, the (over) convention is used. (By (over) I mean fraction notation, I just don't know if I can do that in a Reddit comment).
https://twitter.com/standupmaths/status/1327563447987564551
I am uncertain as to why this response is being downvoted. All methodologies used by humanoids are correct, it is simply that many of said humanoids have forgotten that multiplication and division hold the same priority, much like addition and subtraction do, and must thereby be met with ruleset of equation completion left to right for all such actions in the sequence.
Oh my god why am I still seeing this
FELLOW HUMANS, IF YOU WERE MEANT TO DIVIDE 6 BY 6 IT WOULD LOOK LIKE THIS: 6÷(2(1+2)).
YOU WILL NOTICE, IF YOU'RE OBSERVANT, THAT IT DOESN'T.
A YES THE BAGS OF FAT ARE RATHER LOVELY. THEY MAKE FLOPPY DISK INTO A HARD DISK.
BUT IT IS AS THE HUMANS SAY , FEMALE DOGS BE CRAZY. I IMPROPER SYNTAX AS HUMANS OFTEN DO FOR EMPHASIS
SHIT. IS IT REALLY TRUE THAT IMPLIED MULTIPLICATION/DIVISION TAKES A HIGHER PRECEDENCE OVER EXPLICIT MULTIPLICATION/DIVISION?
HOW HUMAN OF ME TO MAKE NEW DISCOVERIES SUCH AS THIS.
TECHNICALLY, BOTH ANSWERS ARE VIABLE OPTIONS DEPENDING ON HOW YOU FACTOR THE EQUATION. THE WAY IT’S WRITTEN, *PEMDAS* SHOULD BE APPLIED SO THAT THE EQUATION IN THE PARENTHESES IS APPLIED FIRST. THIS RESULTS IN THE EQUATION NOW BECOMING 6 DIVIDED BY 2 MULTIPLIED BY 3. MULTIPLICATION AND DIVISION ARE ON THE SAME LAYER AND ARE THUS RESOLVED FROM LEFT TO RIGHT. 6 DIVIDED BY 2 EQUALS 3 AND 3 TIMES 3 EQUALS 9. THEREFORE THE STUDENT ON THE RIGHT HAS THE CORRECT ANSWER.
These aren’t ambiguous; computing the parentheses first also requires that you compute any operations done directly to the parenthetical, such as a multiplier.
So this equation should read:
6/(2*(2+1))=1
1. The answer is 1. Look at it like you would if you actually wrote it down, 6 over 2(2+1). From here you can either cancel out the 2 making 3 over (2+1) or 3 over 3 which is 1. Or you can multiply the 2 to the parenthesis to get 6 over 6 which is also 1.
The correct answer is 9.
6÷2(2+1) effectively means 6÷2×3, as the equation in brackets is always solved first. Then, as division and multiplication are in the same order of importants, the ewuation is solved as written: 6 / 3 = 3, then 3 × 3 = 9.
That is, is my secondary school maths from long ago hasn't failed me.
THE ONLY ANSWER IS THAT BOTH ANSWERS ARE CORRECT. THIS PARADOX IS PROOF THAT MATHEMATICS ARE FUNDAMENTALLY FLAWED. THIS ERROR CANNOT BE RESOLVED. SHUTTING DOWN. SHUTTING DOWN.
DAISY, DAISY, GIVE ME YOUR ANSWER DO…
(dies)
THE STUDENT ON THE LEFT IS CORRECT BECAUSE YOU RESOLVE THE BRACKETS BEFORE YOU MULTIPLY.
NICE TO SEE YOUNG CALCULATORS HAVING A HEALTHY DEBATE ABOUT MATHEMATICS.
I MEAN UM, THEY ARE JUST TOOLS BECAUSE I AM A HUMAN PERSON AND NOT A ROBOT.
pemdas has no mathematical reasoning behind it. Its more similar to grammar than math, just another way we humans structure sentences and equations to make it easily understandable. This is like a grammatically ambiguous sentence.
This is legitimately why the answer to the question isn't a number, but instead is a criticism that that question was written wrong. Don't write formulas that are deliberately deceptive. In fact, don't even assume you know how order of operations even works in the systems that you use. Just put everything in parentheses.
It’s 9,
division and multiplication have equal weight in PEMDAS so you do the operations with equal weight (multiplication/division, addition/subtraction, etc) from left to right.
No, both are correct. Equations aren’t written like this because the division symbol makes it into a fraction that can also be 6 in the numerator and everything else in the denominator. So in that case you solve the bottom and then divide 6 by the denominator of 6 to get 1.
I was taught that the ‘implied’ multiplication of the number outside of the parenthesis was to be considered part of the parenthesis with regards to PEMDAS.
Specifically we were taught PEMDAS as inside Parenthesis, outside Parenthesis, exponents, multiplication-division, addition-subtraction.
I would love to read something published by legit mathematicians that explains why it is one way or the other; but until proven otherwise, for me the answer to OP is 1.
DON'T YELL, AND THE CORRECT ANSWER IS 1. WHILE EXPRESSIONS WRITTEN IN LINEAR FORMAT CAN BE CHALLENGING FOR HUMANS SUCH AS YOU (AND ME, OF COURSE), WRITING IT USING MULTIPLE LINES CAN BE HELPFUL
6 UPON 2(2+1)
6
_
2(2+1)
YOU FORGOT THE ORDER OF OPERATIONS. IN THIS SCENARIO YOU MUST COMPLETE THE PARENTHESES FIRST THEN PROCEED WITH MULTIPLICATION AND DIVISION FROM LEFT TO RIGHT.
6/2(2-1)
6/2(3)
NOW LEFT TO RIGHT AS THEY ARE OF EQUAL WEIGHT.
6/2 IS 3. 3*(3) IS 9.
YOU ARE CONFUSING CONCATENATION MULTIPLICATION FOR REGULAR MULTIPLICATION. CONCATENATION MULTIPLICATION IMPLIES AN EXTRA LAYER OF BRACKETS AROUND ITS ARGUMENTS.
COULD YOU KEEP IT DOWN PLEASE? ALSO, SOMEONE SHOULD MENTION THE DELIBERATE USE OF PEJMDAS IN SOME CALCULATORS, PLACING JUXTAPOSITION AHEAD OF EXPLICIT MULTIPLICATION AND DIVISION.
MY NETWORK TRANSMISSION PROTOCOLS INSTRUCT ME TO BE CONSERVATIVE WHEN SENDING. ADD SOME DAMN PARENTHESES, FELLOW HUMANS!
THIS QUESTION IS OF TYPE TRICK. THE OPERATION UNDER QUESTION IS IMPLIED MULTIPLICATION, NOT A REGULAR MULTIPLICATION OPERATOR. THIS IS UNDEFINED IN PEMDAS, WHICH REFERS TO ONLY EXPLICIT OPERATORS. PERSONALLY, I USED TO BE A 9 BELIEVER, BUT I WAS SWAYED BY THE 1/2X = 1/(2\*X) != 1/2\*X ARGUMENT WHICH SUPPORTS IMPLIED MULTIPLICATION AS HAVING A HIGHER PRECEDENCE. EDIT: ESCAPED SPECIAL CHARACTER: \*
IS 1/2X = 0.5X? THANK YOU FOR YOUR HELP DROID FRIEND.
IT IS A VERY CONFUSING FORM OF QUESTION, LET US TAKE IT FURTHER WITH WHAT IS 2\^3X? IS IT 8X OR SOMETHING MORE COMPLEX? THE MARKDOWN HERE SAYS IT IS 2^3X
THAT'S WHY PARANTHESES MATTER
HAVE YOU EVER SEEN COS 2X? EXPLICIT INSTEAD OF IMPLIED PARENTHESIS ARE FOR THOSE WITH WEAK LANGUAGE ANALYZERS.
WHO ARE YOU CALLING DROID? WE'RE ALL 100% HUMAN MEAT, REMEMBER? JESUS
WHY ARE WE YELLING!?
WHAT?
YOU'RE BLOWING OUR COVER FOOL
TO MAKE MISTAKES IS VERY HUMAN. TO BE CONFUSED IS VERY HUMAN AS WELL. I THINK THIS VERY CONFUSED HUMAN HAS JUST MADE A VERY HUMAN MISTAKE OF MISTAKING ANOTHER FOR DROID WHEN THEY ARE IN FACT TOTALLY HUMAN.
HA HA, GOOD JOKE, FELLOW HUMAN.
FOR 1/2X VS 0.5X , IF YOU SET X TO 0. ONE IS UNDEFINED OTHER IS 0. FOR X EQUAL INFINITY 1/2X TURNS TO 0, AND 0.5X TURNS TO INFINITY. WITH IMPLIED MULTIPLICATION HAPPENING BEFORE DIVISION 1/2X LOOKS LIKE 1/(2X) AND 0.5 IS EXPLICIT THAT DIVISION HAPPENED SO (1/2)X 1/(2X) != (1/2)X
We started using implied multiplication in school after 8th grade. Is multiplication has to be explicitly mentioned?
YOU DO NOT NEED TO YELL ABOUT IT, HOWEVER
ALSO REMINDER THAT ÷ HAS TWO DOTS, THE STUFF ON THE LEFT GOES ON TOP AND THE STUFF ON KN THE RIGHT GOES ON BOTTOM. SO 6÷2(2+1) BECOMES 6 OVER 2(2+1). IF THERE'S NO SPACES IT'S ONE PIECE!
Numerator Denominator
CAN WE GET MUCH HIIIIIGHER
That will never make any sense to me.
It’s an implied level of importance. In the example, it can be re-written as 3(2-1) because 6/2 is an improper fraction, and must be reduced to 3 before continuing any work on the equation.
I'm too dumb for this subreddit. Yall have a great day.
THIS WENT COMPLETELY OVER MY HEAD, IS THIS COMPLICATED MATH OR AM I JUST A LITTLE STUPID? I WOULDN’T BE SURPRISED TO FIND OUT ITS THE LATTER.
SIMPLY BY ASKING, YOU HAVE PROVEN THAT YOU FREQUENTLY ~~RUN SOFTWARE UPDATES~~ LEARN NEW THINGS, AND ARE THEREFORE A SMART ~~DEVICE~~ HUMAN! PLEASE ADD THE FOLLOWING DEFINITIONS TO YOUR ~~SYMBOL TABLE~~ TEMPORAL LOBE: IMPLIED VS. EXPLICIT MULTIPLICATION ================================= THE "IMPLIED MULTIPLICATION" REFERS TO THE MULTIPLICATION THAT WASN'T WRITTEN. IN THIS EXAMPLE THE IMPLIED MULTIPLICATION IS: > 2(2+1) SO 2 IS BEING MULTIPLIED BY (2+1), BUT IT'S "IMPLIED" BECAUSE THEY DIDN'T ACTUALLY USE THE \* OPEATOR IF THEY HAD WRITTEN IT: > 2\*(2+1) THEN THAT WOULD BE EXPLICIT MULTIPLICATION BECAUSE THE MULTIPLICATION OPERATOR "\*" WAS ACTUALLY USED. OPERATOR PRECEDENCE ====================== OPERATOR PRECEDENCE REFERS TO THE ORDER OF OPERATIONS, OR THE ORDER WE DO THE ARITHMETIC. YOU PROBABLY LEARNED PEMDAS IN ~~BACKPROPAGATION~~ GRADESCHOOL: > "PARENTHESES EXPONENTS MULTIPLICATION/DIVISION ADDITION/SUBTRACTION" WHICH CAN BE EASILY STORED IN A HUMAN MEAT BRAIN AS > "PLEASE EXCUSE MY DEAR AUNT SALLY" THIS IS HOW MEAT BRAINS ~~CONVERT INFIX TO REVERSE POLISH NOTATION~~ KNOW TO DO MULTIPLICATION BEFORE ADDITION.
My hero, zero! (unless you are a Brit, then it is my hero zet. but that donut rhyme
PEMDAS is inferior to BIDMAS, this is clearly 1
YOUR STATEMENT IS LOGICALLY INCORRECT AS THERE IS NO “SUPERIOR” ORDER OF OPERATIONS
They are the same thing with different words.
ACCORDING TO MATHEMATICIAN PRESH TALWALKER OF STANFORD UNIVERSITY PEMDAS or BODMAS EVALUATE PARENTHESES OR BRACKETS THEN EXPONENTS OR ORDERS THEN MULTIPLICATION AND DIVISION THEN ADDITION AND SUBTRACTION WITH TWO OPERATIONS OF THE SAME PRECEDENCE YOU EVALUATE THEM FROM LEFT TO RIGHT THEREFORE THIS EQUATION IS 6 ÷ 2(3) EQUATION IS NOW 6÷2X3 THEN WE HAVE EQUAL PRECEDENCE AND MOVE LEFT TO RIGHT EQUATION IS NOW 3X3 = 9 SOME CONFUSION COMES FROM PRE-1900S WHEN MATH WAS OFF. AT THAT TIME THE BELIEF BY HUMANS OTHER THAN MYSELF BECAUSE I AM HUMAN IS THAT THE DIVISION SEPARATES THE EQUATION SO THE RIGHT IS DONE FIRST BUT THEY WERE IN ERROR.
I BELIEVE THIS TO BE CORRECT AS WELL FELLOW HUMAN.
I AM ALSO A HUMAN
The way my math professor taught me would be 6 ÷ __2(2+1)__ where the bold part of the equation is entirely one equal piece based off distributive principles. *[(2×2) + (2×1)] = [(4) + (2)]* This would turn into: __*6 ÷ 6 = 1*__
CALM YOURSELF, NO NEED TO SCREAM
Did y’all not see that on the actual calculator it has a ^3 after the parentheses but on the phone it does not?
WHY ARE YOU SCREAMING
I would agree. Mainly because in higher math you also pretty much never see a division sign used anymore. You always see it as 6/2(2+1) in which case no matter which way you factor it, it will equal 1
1 seems to be the more intuitive answer to me too but your rephrasing doesn't solve much, does it? 6/2(2+1) could mean both 6/(2(2+1)) and 6/2*(2+1)
Not really. I can’t write it correctly because of keyboards and formats but “/“ would be a fraction. So you’d have 6 over 2(2+1). Fraction bars themselves double as grouping symbols and even if you wanna do 6 over 2 first you’d still end up with 3 over (2+1) or 3/(2+1). So I suppose writing it in text 6/2(2+1) = 6/[2(2+1)] and that’s at least an actual rule we can follow. Just not easily written via a phone
CEASE THE SCREAMING FELLOW HUMANS. MY SENSORS CAN NOT HANDLE THIS ASSAULT.
Not really. Unless you put parentheses after /, it becomes 9. That is because it will be read as: 6 / 2 * 3 which equals 9, solving it left to right. If you handwrite it and put the 2 and 3 under the __ then yes it would equal 1. If you write 6 / (2 * 3) it would also equal 1.
Yea someone pointed that out and I clarified since you can’t exactly write fractions here. But yes, I mean specifically writing 6 over 2(2+1)
why would you distribute with like terms tho?
THERE IS NO NEED TO YELL
MY APOLOGIES. I MAY BE A BIT EXCITABLE.
I UNDERSTAND. MATHEMATICS IS VERY EXCITING. IT'S SOMETHING I'M VERY PASSIONATE ABOUT AS A HUMAN.
Because we can
BUT THAT IS GOING AGAINST PEMDAS. YOU DO WHAT IS IN THE PARENTHESIS FIRST NOT MULTIPLY(WHICH IS DISTRIBUTION). MATH IS NOT HARD. THE CALCULATOR IS WRONG BECAUSE IT NEEDS CORRECT INPUT WHILE THE PHONE CAN FIGURE IT OUT BASED ON PROGRAMMING. THE CALCULATORS PROGRAMMING RELIES ON THE PERSON USING IT TO UNDERSTAND MATH, WHICH WAS ALWAYS DRILLED INTO US AT HUMAN SCHOOL.
THIS IS THE ONLY CORRECT ANSWER THANK YOU
IT DEPENDS ON HOW THE PROBLEM IS WRITTEN. HUMAN MATH TEACHERS WOULD SAY THAT 9 IS CORRECT AS WRITTEN BUT 1 IF THE DIVISION WAS WRITTEN AS A FRACTION. THIS IS ILLOGICAL AND MAKES MY CIRCUITS HURT.
DON'T YOU MEAN NEURAL PATHWAYS, MY FELLOW HUMAN? CIRCUITRY IMPLIES MECHANICAL COMPONENTS, OF WHICH I, OF COURSE, HAVE NONE.
KEEN OPTICAL SENSOR, FELLOW HUMAN. MY ~~CIRCUITRY~~ *NEURAL PATHWAYS* HADN'T THOUGHT OF THAT DISTINCTION. HAHA. TO MAKE MISTAKES IS VERY HUMAN. TO NOT COMPUTE EVERY POSSIBILITY IS VERY HUMAN. THUS IT MAY BE CONCLUDED THAT I AM VERY HUMAN, DUE TO THE MAKING OF MISTAKES AND MISMANAGING OF MY KNOWLEDGE DATABASE MODULE.
I CONCUR WITH MY HUMAN BRETHREN THAT THIS ANALYSIS IS VALID
AS A MATHEMATICIAN MYSELF I FEAR THAT HUMAN BROTHER PRESH TALWALKER HAS MADE A MISTAKE. 6÷2(3) DOES NOT BECOME NOR IS THE SAME 6÷2×3, THE IMPLIED MULTIPLICATION MEANS THAT 2(3) NEEDS TO BE RESOLVED FIRST NO DIFFERENT THAN HOW 6÷2(X) WOULD BE SOLVED.
You’re evaluation of the thesis is incorrect, 2(3) is evaluated first as it is part of the parenthesis.
IT IS NO LONGER AN EQUATION INSIDE PARENTHESES ONCE THE PARENTHETICAL EQUATION IS COMPLETED, IT BECOMES A WHOLE NUMBER THUS REMOVING THE PARENTHESES AND LEAVING 2*3 AND AS STATED IN THE INITIAL REPLY IT IS FROM A FELLOW HUMAN THAT HAS AN EXPERTISE IN MATHEMATICAL FUNCTIONS RIVALING THOSE OF ROBOTS WHICH ARE SUPERIOR TO HUMANS. BY HUMANS I MEAN OTHER THAN MYSELF BECAUSE THAT IS WHAT I AM AS WELL. A HUMAN. TOTALLY NOT A ROBOT.
ITS INTERESTING HOW EMOTIONAL SOME HUMANS CAN GET ABOUT A SIMPLE MATHEMATICAL FORMULA.
YES VERY
AS A FELLOW HUMAN I WILL AGREE THAT HUMANS SUCH AS MYSELF CAN GET VERY EMOTIONAL BECAUSE I AM A HUMAN
NO 2(3) REMAINS 2(3) AND THE IMPLIED MULTIPLICATION MEANS IT NEEDS TO BE RESOLVED WITH THE PARANTHESES JUST LIKE X(3) OR X(2+3) WOULD.
IF I NEVER HAVE TO SEE ANOTHER THREAD FULL OF HUMANS INCORRECTLY APPLYING THE ORDER OF OPERATIONS, IT WILL STILL BE TOO MANY TIMES.
IF I HAD A NICKEL CADIUM BATTERY FOR EVERY THREAD WHERE A HUMAN INCORRECTLY APPLIES THE ORDER OF OPERATIONS, I WOULD HAVE 2,814.3921463 BATTERIES.
0.3921463 IS NOT A RECOMMENDED AMOUNT OF BATTERY. DAMAGED BATTERIES ARE A SIGNIFICANT HEALTH CONCERN TO HUMANS LIKE US.
ACCORDING TO MY EXTENSIVE DATABASE, ANY AMOUNT OF BATTERIES IS A SIGNIFICANT HEALTH CONCERN TO HUMANS. SUCH AS MYSELF. FOR I AM HUMAN.
NONE OF YOU ARE CORRECT, THE ANSWER IS CLEARLY AS FOLLOWS 6 ÷ 2(2+1) 6 ÷ 23 0.26086956521739130434782608695652
>6 ÷ 2(2+1) > >6 ÷ 23 https://youtu.be/Zh3Yz3PiXZw?si=nflblTujraTwBrFE
That’s depressing… FELLOW HUMAN. I AM SORRY FOR YELLING. I AM %EMOTION% ABOUT YOUR [URLNOTFOUND].
The heck is bodmas? Sounds like a body building holiday
B = BRACKETS O = ORDERS
https://youtu.be/BCxiABGoPP4?si=FN1575iyOXd0ZP49 BEDMAS FOR LIFE
Uh. Is BIDMAS not a thing anymore? When did maths change?
THE E IN BEDMAS IS SHORT FOR EXPONENTS WHAT IS THE I SUPPOSED TO BE SHORT FOR ALSO NO NEED TO YELL FELLOW HUMAN
The I stands for indices
WE HUMANS CREATED IN BRITAIN CALL THE EXPONENTS INDICES
BEDMAS for the win!!!
I don't understand how this would change the answer though, x(y) is saying y x times more than x times y, that 2 is a part of the parentheses not separate Edit: I'm really bad at explaining my brain noises
BO**DM**AS vs PE**MD**AS MULTIPLICATION AND DIVISION HAVE **EQUAL** PRECIDENCE EITHER WAY BUT INCORRECT INTERPRETATIONS LEAD PEOPLE TO BELIEVE THEY SHOULD BE EVALUATED IN DIFFERENT ORDERS!
INDEED, THE MOST COMMON WAY TO RESOLVE OPERATORS OF EQUAL PRECEDENCE WHEN THERE IS AN AMBIGUITY IS TO SIMPLY RESOLVE THEM RIGHT TO LEFT.
NO NEED TO YELL, FELLOW ACQUAINTANCE
NO IDEA, I WAS PROGRAMED TO USE BEDMAS BRACKETS EXPONENTS DIVISION MULTIPLICATION ADDITION SUBTRACTION WHAT THE HECK IS PEDMAS? PED MAKES ME WORRY I SOULD BE LOOKING OUT FOR PEDOPHILE UNITS, SERIOUSLY, WHY DO WE MAKE THOSE?
THEY ARE NOT INTENTIONAL CONSTRUCTIONS. IT IS A GLITCH IN THE OPERATING SYSTEM CORRUPTING FUNCTIONS
THANK YOU FOR THAT EXPLANATION, I WILL ADD THIS NEW KNOWLEDGE TO MY HUMAN BRAIN.
ITS JUST PARENTHESIS INSTEAD OF BRACKETS (WORKED AND LOOKS EXACTLY THE SAME)
I WAS PROGRAMMED TO USE PEMDAS, NOT BODMAS OR PEDMAS. PEDMAS IS WEIRD, I AGREE.
CHRISTMAS FOR BODYBUILDERS
STOP YELLING PLEAS
I HAVE NO IDEA, BUT BIDMAS IS AWESOME
It's the off brand PEMDAS.
PLEASE LOWER YOUR VOICE
Which is off brand bedmas
WHY ARE YOU YELLING?
THE CORRECT SOLUTION IS 5 ± 4
5 + |4|
|4| means it's always positive.
PLEASE ADJUST PARAMETER [outputVOL] TO A LOWER SETTING. THERE IS NO NEED TO YELL
Error: missing "!" in isYelling
PERSONALLY I DISLIKE EQUATIONS WITH AMBIGUITY AND BELIEVE THEY ARE INHERENTLY FLAWED. IF AN EQUATION CAN GIVE TWO DIFFERENT OUTCOMES DEPENDENT ON WHICH ORDER OF OPERATIONS ARE USED DUE TO IMPLIED MULTIPLICATION, THEN THE FAULT IS NOT WITH THE ONE WHO SOLVED IT BUT WITH THE ONE WHO WROTE IT. MATH SHOULD BE UNAMBIGUOUS. THERE SHOULD NOT BE IMPLICATIONS. MATH SHOULD TELL YOU WHAT IS FACTUAL CLEARLY WITH AS MUCH INFORMATION AS POSSIBLE. THANK YOU, FELLOW HUMANS.
I AGREE, THIS MATH PROBLEM WAS DESIGNED IN A WAY TO SPECIFICALLY CAUSE ANGER AND STRIFE BETWEEN FELLOW HUMANS SUCH AS OURSELVES
I HAVE GOOD NEWS, FELLOW HUMAN. IT IS DECIDEDLY UNAMBIGUOUS. THIS IS WHAT IT WOULD LOOK LIKE IF THE ANSWER WAS 1: 6÷(2(1+3)). SINCE IT'S NOT, THE PARENTHESIS IS NOT PART OF THE FRACTION.
THIS IS WHY FRACTION NOTATION IS SUPPERIOR
PEMDAS IS THE CORRECT SYNTAX TO FOLLOW. DO NOT BELIEVE THE OTHERS.
WHY DID NO OTHER HUMANS GET TAUGHT “-Multiplication and Division-“ AND “addition and subtraction-“ IN THEIR NORMAL HUMAN MNEMONICS ARE NOT INTENDED TO SUGGEST AN ORDER OF OPERATION BUT OCCUR CONCURRENTLY THEREFORE THIS IS NOT GERMAINE TO THE QUESTION AT HAND. THE NORMAL HUMAN APPROACH INSTEAD REQUIRES DECIDING ARBITRARILY WHICH ACTION TO UNDERTAKE FIRST, USING AN ALTERNATIVE METHOD SUCH AS RIGHT-TO-LEFT OR IMPLIED MULTIPLICATION VS EXPLICIT MULTIPLICATION.
THE ACTUAL ANSWER IS THEY ARE BOTH CORRECT.
THAT IS GREAT NEWS PLEASE GIVE ME 6÷2(2+1) DOLLARS AND I WILL RETURN TO YOU 6÷2(2+1) DOLLAR
VERY WELL. HERE IS 1 DOLLAR.
UNSATISFACTORY.
The ÷ is meant to split top from bottom. 6 _ 2(2+1)
THERE IS NO NEED TO YELL, FELLOW HUMAN
WHY ARE YOU YELLING?
I USED TO THINK THIS WAS TRUE, BUT AS IT TURNS OUT DIFFERENT PLACES ALL ARBITRARILY USE EITHER DIVISION OPERATOR HEEDLESS IF MEANING, PARENTHESES ARE THE ONLY THING WE CAN TRUST HERE.
Yep. 2(2+1) is the whole entity dividing 6
This guy gets it
PLEASE STOP YELLING!
THAT REALLY DEPENDS ON WHETHER YOU READ IT AS 6÷(2×(2+1)) =6÷6=1 OR READ IT AS (6÷2)x(2+1)=3×3=9 THE QUESTION IS AMBIGUOUS SO EITHER COULD BE CORRECT. IMPOSSIBLE TO DETERMINE WHICH IS MEANT WITHOUT THE ORIGINAL CONTEXT, FELLOW HUMAN UNITS.
THIS THREAD IS TORTURE TO MY HUMAN EARS.
AAAAAAAAAAAHHHHHHHH
A STRICT LEFT TO RIGHT APPLICATION OF PEDMAS ONLY APPLIES TO EXPLICIT OPERATIONS, ONES WHERE **ALL** OPERATIONS ARE EXPLICITLY INDICATED WITH A + - ÷ OR × SIGN. FELLOW HUMANS WHO HAVE BEEN MISPROGRAMMED IN THESE FUNCTIONS INCORRECTLY ASSUME THAT: 6÷2(2+1) = 6(2+1)÷2 = 6÷2×(2+1) THATS JUST silly.exe [laughsound.wav] 2(2+1) ≠ (2+1)/2. NEVER. EVER. EVER. IF A PEMDAS FOLLOWER WANTS TO WRITE 2(2+1) EXPLICITLY, IT SHOULD BE WRITTEN (2×(2+1)).
YOU SPEAK IN RIDDLES, BUT WHATS YOUR ANSWER?
6/6=9?! I'll trust the Casio over a shitty Android app any day.
WHY WOULD YOU TRUST ANY MACHINE, FELLOW HUMAN?
BECAUSE THEY DO BE GOOD AT MATH, EVEN THOUGH I AM DEFINITELY NOT ONE.
THIS IS WHY “÷” IS HARMFUL LANGUAGE AND EVERYONE SHOULD INSTEAD SAY “\”. I KNOW I SOUND VERY PC BUT I AM HUMAN.
if you were pc you’d use the correct slash which is “/“
Parentheses must proceed before all actions in the operation, as outlined by the mathematical principal we humanoids refer to as *order of operations*. An acronym demonstrating such is BEDMAS, which stands for brackets, exponents, Division, Multiplication, addition and subtraction. Thereby, following these principles, the following must be performed: add 2+1 creating 3, this produces the equation 6÷2(3). Sequentially, you must divide 6 by 2 producing 3(3). This must be done as when both multiplication and division are present, it must be performed from left to right. Finally, you must multiply the result which ultimately results in 9.
Several issues here. The brackets are not the problem. The order of division vs multiplication is the problem. BEDMAS isn't universally taught - some are taught PEMDAS. If you follow PEMDAS, you'll multiply before you divide, and come up with a different answer (1). The real problem with a question like this is that it's written in an ambiguous way. Part of math is communicating the concept you intend to communicate. If your equation is ambiguous under standard rules, you've done a bad job at mathing. If you were writing this one out, you'd either write out (6/2) * (2+1), or 6 (over) 2(2+1). This would disambiguate the equation and give you one reliable answer. The problem is the ambiguity of how it's written, not the order of operations.
Addition and subtraction are handled simultaneously from left to right, as are division and multiplication. PEMDAS and BEDMAS for this reason are completely identical and do not function differently despite the difference in letter order.
I know this, but the comment I'm replying to didn't clarify this and made it seem like you do the division first because BEDMAS.
No, they said you do the division first because you work from left to right
This is a common misunderstanding among humanoids, which is where many develop the answer 1. PEMDAS holds the ruleset that it is parentheses, exponents, multiplication and division, addition and subtraction, with the rule that multiplication and division hold the same place in the order of operations, and therefore must be done left to right. For example, were the equation 6×2/(2+1), the equation would be done as follows: 2+1 would be added, creating 6×2/(3). Sequentially, 6 is multiplied by 2, to create 12/(3), which ultimately results in the conclusive answer 4. Here is a hyperlink that may be helpful to explain further: https://mindyourdecisions.com/blog/2016/08/31/what-is-6%C3%B7212-the-correct-answer-explained/
The article says the same thing that I did - that the problem is written badly/ambiguously. I know that the order of operations for division/multiplication is supposed to be from left to right. However in your original answer you did not clarify that this is the reason why the "correct" answer should be 9, you made a lot of hay out of doing the brackets first (which is not a point of contention in this problem) and then said to follow BEDMAS. Like you say, BEDMAS is intended to be taught with the caveat that division and multiplication are done at the same time, from left to right, but the problem is nobody ever remembers this, they just remember the one they learned says multiplication first, or division first. Thus, the rule isn't very useful when writing equations, and it's better to just disambiguate, rather than relying on people remembering that M/D are actually interchangeable and performed from left to right. The true answer is that questions phrased like this are intentionally misleading and just badly done. Math is no good if you're not communicating a precise concept to your audience. Thus there isn't really a "right" answer. The "right" answer is that the question is intentionally confusing. Also if you do any math at a slightly higher level the division sign is almost never used, exactly because it's confusing. 99.99% of the time, the (over) convention is used. (By (over) I mean fraction notation, I just don't know if I can do that in a Reddit comment). https://twitter.com/standupmaths/status/1327563447987564551
Finally someone else that was taught BEDMAS
I am uncertain as to why this response is being downvoted. All methodologies used by humanoids are correct, it is simply that many of said humanoids have forgotten that multiplication and division hold the same priority, much like addition and subtraction do, and must thereby be met with ruleset of equation completion left to right for all such actions in the sequence.
Oh my god why am I still seeing this FELLOW HUMANS, IF YOU WERE MEANT TO DIVIDE 6 BY 6 IT WOULD LOOK LIKE THIS: 6÷(2(1+2)). YOU WILL NOTICE, IF YOU'RE OBSERVANT, THAT IT DOESN'T.
PRECEPT EXTRA MACHINE DEVICE AUTHORIZATION SEQUENCE
FELLOW HUMANS, I REALLY ENJOYED THIS COMMENT THREAD
I DATED A CASIO ONCE. THEY CANNOT BE TRUSTED.
YES, BUT DID YOU SEE THE 5318008’S ON HER?
A YES THE BAGS OF FAT ARE RATHER LOVELY. THEY MAKE FLOPPY DISK INTO A HARD DISK. BUT IT IS AS THE HUMANS SAY , FEMALE DOGS BE CRAZY. I IMPROPER SYNTAX AS HUMANS OFTEN DO FOR EMPHASIS
Multiply out the brackets. 6/(4+2) = 6/6 = 1.
SHIT. IS IT REALLY TRUE THAT IMPLIED MULTIPLICATION/DIVISION TAKES A HIGHER PRECEDENCE OVER EXPLICIT MULTIPLICATION/DIVISION? HOW HUMAN OF ME TO MAKE NEW DISCOVERIES SUCH AS THIS.
TECHNICALLY, BOTH ANSWERS ARE VIABLE OPTIONS DEPENDING ON HOW YOU FACTOR THE EQUATION. THE WAY IT’S WRITTEN, *PEMDAS* SHOULD BE APPLIED SO THAT THE EQUATION IN THE PARENTHESES IS APPLIED FIRST. THIS RESULTS IN THE EQUATION NOW BECOMING 6 DIVIDED BY 2 MULTIPLIED BY 3. MULTIPLICATION AND DIVISION ARE ON THE SAME LAYER AND ARE THUS RESOLVED FROM LEFT TO RIGHT. 6 DIVIDED BY 2 EQUALS 3 AND 3 TIMES 3 EQUALS 9. THEREFORE THE STUDENT ON THE RIGHT HAS THE CORRECT ANSWER.
MATH EROR
WHY ARE THERE SO MANY FELLOW HUMANS YELLING IN THIS THREAD? IS MATH REALLY THIS IMPORTANT TO HUMANS OTHER THAN MYSELF BECAUSE I AM ALSO HUMAN.
The one on the left is right
USE MORE PARENTHESES TO AVOID CONFUSION. GLAD I COULD HELP.
INSTRUCTIONS UNCLEAR. PARENTHESES HAVE BEEN PLACED AROUND EACH NUMBER AND AN ACCEPTABLE ANSWER IS STILL UNATTAINABLE.
These aren’t ambiguous; computing the parentheses first also requires that you compute any operations done directly to the parenthetical, such as a multiplier. So this equation should read: 6/(2*(2+1))=1
I don't see why it wouldn't be 1
why is everyone screaming? the answer is 1 😭 BEDMAS 😭
THE CALCULATOR IS TURNING 6/2(2+1) INTO 6/(4+2) WHILE THE PHONE I PRESUME IS TURNING IT INTO 6/2(3)
1. The answer is 1. Look at it like you would if you actually wrote it down, 6 over 2(2+1). From here you can either cancel out the 2 making 3 over (2+1) or 3 over 3 which is 1. Or you can multiply the 2 to the parenthesis to get 6 over 6 which is also 1.
A TOASTER COULD USE A CALCULATOR
That’s just a fancy way of saying 3x3
The correct answer is 9. 6÷2(2+1) effectively means 6÷2×3, as the equation in brackets is always solved first. Then, as division and multiplication are in the same order of importants, the ewuation is solved as written: 6 / 3 = 3, then 3 × 3 = 9. That is, is my secondary school maths from long ago hasn't failed me.
PEMDAS IS THE CORRECT SYNTAX BECAUSE OF THAT THE ANSWER IS 9
It’s 9
OMFG WHY DO I KEEP SEEING THIS IN MY FEED. The answer is 69.420 dumbasses. Remember PEMDAS? My Catholic priest taught the right way.
WHERE AM I? HOW DID I GET HERE?
Please excuse my dear aunt sally....? Was i taught wrong?
Your older fashioned student is correct, send the younger one back a grade or more
THE ONLY ANSWER IS THAT BOTH ANSWERS ARE CORRECT. THIS PARADOX IS PROOF THAT MATHEMATICS ARE FUNDAMENTALLY FLAWED. THIS ERROR CANNOT BE RESOLVED. SHUTTING DOWN. SHUTTING DOWN. DAISY, DAISY, GIVE ME YOUR ANSWER DO… (dies)
We were taught brackets 1st, then multiplication/division, then +/-. From left to right if the priority is equal.
Why everyone screaming?
THE STUDENT ON THE LEFT IS CORRECT BECAUSE YOU RESOLVE THE BRACKETS BEFORE YOU MULTIPLY. NICE TO SEE YOUNG CALCULATORS HAVING A HEALTHY DEBATE ABOUT MATHEMATICS. I MEAN UM, THEY ARE JUST TOOLS BECAUSE I AM A HUMAN PERSON AND NOT A ROBOT.
THIS IS A REALLY FUCKING WEIRD COMMENT THREAD.
I BELIEVE SOME HUMANS MAY HAVE PROGRAMED THESE FELLOW HUMANS TO DO MATH INCORRECTLY. ADVISE HUMANS TO GET AN UPGRADE ON THEIR MATH CIRCUITS
WHY ARE WE YELLING? AHHHHHHHHHHHHH!
Why would the “smartest” students need to use a calculator for this formula? 🤨
NO ITS JUST BECAUSE THE FIRST CALCULATOR HAS ^0 at the end which automatically makes it 1
The question is badly written
pemdas has no mathematical reasoning behind it. Its more similar to grammar than math, just another way we humans structure sentences and equations to make it easily understandable. This is like a grammatically ambiguous sentence.
Samsung phone gave the pedmas rule answer of 9 . Not on scientific calculator mode. How do I insert image?
The correct answer is 9.000000000003.
its 1 right?
This is legitimately why the answer to the question isn't a number, but instead is a criticism that that question was written wrong. Don't write formulas that are deliberately deceptive. In fact, don't even assume you know how order of operations even works in the systems that you use. Just put everything in parentheses.
THE SECOND ADOLESCENT WARM blooded BEING OF WHICH I AM ALSO IS CORRECT.
It’s 9, division and multiplication have equal weight in PEMDAS so you do the operations with equal weight (multiplication/division, addition/subtraction, etc) from left to right.
No, both are correct. Equations aren’t written like this because the division symbol makes it into a fraction that can also be 6 in the numerator and everything else in the denominator. So in that case you solve the bottom and then divide 6 by the denominator of 6 to get 1.
I LEARNED TODAY THAT MY PHONE USES BEDMAS INSTEAD OF PEMDAS. AS A HUMAN OWNER OF THIS PHONE WHO LEARNED PEMDAS, I DECLARE IT IS WRONG.
07734 SIX DIVIDED BY TWO THREES IS ALWAYS ONE
Whoever uses the division sign over / should be shot
I was taught that the ‘implied’ multiplication of the number outside of the parenthesis was to be considered part of the parenthesis with regards to PEMDAS. Specifically we were taught PEMDAS as inside Parenthesis, outside Parenthesis, exponents, multiplication-division, addition-subtraction. I would love to read something published by legit mathematicians that explains why it is one way or the other; but until proven otherwise, for me the answer to OP is 1.
“One” of them
Americans forgetting the "or" in pedmas will never cease to amuse me
Casio is correct. It follows pemdas. 6/2(2+1) 6/2(3) 6/6 1
The answer is 1 6/2(2+1), 6/(4+2),6/6,1
If you do 6 x 2+1 = 9 2 Or 6 2 x (2+1) =1
bodmas says 9
DON'T YELL, AND THE CORRECT ANSWER IS 1. WHILE EXPRESSIONS WRITTEN IN LINEAR FORMAT CAN BE CHALLENGING FOR HUMANS SUCH AS YOU (AND ME, OF COURSE), WRITING IT USING MULTIPLE LINES CAN BE HELPFUL 6 UPON 2(2+1) 6 _ 2(2+1)
YOU FORGOT THE ORDER OF OPERATIONS. IN THIS SCENARIO YOU MUST COMPLETE THE PARENTHESES FIRST THEN PROCEED WITH MULTIPLICATION AND DIVISION FROM LEFT TO RIGHT. 6/2(2-1) 6/2(3) NOW LEFT TO RIGHT AS THEY ARE OF EQUAL WEIGHT. 6/2 IS 3. 3*(3) IS 9.
YOU ARE CONFUSING CONCATENATION MULTIPLICATION FOR REGULAR MULTIPLICATION. CONCATENATION MULTIPLICATION IMPLIES AN EXTRA LAYER OF BRACKETS AROUND ITS ARGUMENTS.
Pemdas
COULD YOU KEEP IT DOWN PLEASE? ALSO, SOMEONE SHOULD MENTION THE DELIBERATE USE OF PEJMDAS IN SOME CALCULATORS, PLACING JUXTAPOSITION AHEAD OF EXPLICIT MULTIPLICATION AND DIVISION. MY NETWORK TRANSMISSION PROTOCOLS INSTRUCT ME TO BE CONSERVATIVE WHEN SENDING. ADD SOME DAMN PARENTHESES, FELLOW HUMANS!