What is 6÷2(1+2) = ? Viral Math Videos

What is 6÷2(1+2) = ? Viral Math Videos
The puzzle I am going to show you had thousands confused.
The problem looks simple, but can you believe that people were arriving at 3 answers.

Reference:

Hello everyone and welcome to another viral Math Puzzle.
The puzzle I am going to show you had thousands confused.
The problem looks simple, but can you believe that people were arriving at 3 answers.
And there was a lot of debate about which answer was correct.
So without wasting time, let me introduce the problem to you.
Here it is:
6 ÷ 2(1+2) = ?
So then, what is your answer?
As I said before, this problem had 3 popular answers and here they are 9, 1 and 7.
Did you get one of these numbers as an answer?
Ok, now you may be thinking how each answer was arrived at.
So let me show you the ways of arriving at each of these 3 answers.
Lets lets look at the first common answer which is 9
This is how some people arrived at 9.
Now let us look at the next popular answer which is 1.
And this is how some people arrived at 1.
And finally, this is how some people arrived at 7.
Ok guys, I must be honest with you.
At least 2 of these 3 answers looked right to me.
But what is the correct answer?
Let us find out.
First we will get a little help from a friend - Señor Google.
Let us feed this question into Google and see what we get.
Alright, so Google and its calculator agree that 9 is the correct answer.
Now just for fun I will ask a programming language to calculate the answer too.
Python is a very popular programming language.
Let us see what answer it gives us.
Right, no surprises here. Like the calculator, we get a 9 once again.
At this point it is only fair that we quickly see how to arrive at 9.
And to do this we will refer to that technique for order of operations which some people know as PEMDAS and others as BODMAS.
So lets put down our question once again:
6 ÷ 2(1+2)
So based on PEMDAS rules one thing is clear and that is we need to first
solve what is in the brackets. On doing so , we get :
6 ÷ 2(3)
Now at this point you may think, we still have the brackets so should I multiply 2 with 3 first?
The answer is NO. We evaluate what was WITHIN the brackets first.
So now we can rewrite our problem as
6 ÷ 2 x 3
At this point our problem contains division and multiplication operations
And we should note 2 things here
Firstly, according to PEMDAS or BODMAS both operations have the same precedence.
And because they have the same precedence, we value the problem from LEFT to RIGHT.
So our problem becomes
3 x 3 which gives us 9.
Did you figure this out?
Please tell me what you thought of this video?
And don’t forget to subscribe to my channel.
My name is Sanjay and I make thought provoking videos.
Thanks a lot and bye for now

[funzaAcademy]

Hope you enjoy this video and find it useful. Do comment on what you feel and subscribe to our channel. Thanks.

[RandomGuy-xilp]

Even if Father of Maths Comes down and say the Correct answer is 9 it won't change my mind that Correct answer is 1.

[rachelrandant]

Technically, anything outside the parentheses inherently lends itself to anything inside the parentheses. You have to multiply before dividing.
6÷2(2+1) must also be true if you use the foil method:
6÷[2(2)+2(1)]
6÷[4+2]
6÷6
1

[kylecastles]

So…for all those who think it’s 9 or 7, your just wrong. Where are you leaving the parentheses at after you get 6/2(3)? You still have them so you don’t change it to 6/2x3, you do 2(3)=6 then divide 6 by 6=1

[sierrajade]

My question is why would you change the parentheses into a multiplication sign instead of just 2(3)=6 then 6÷6=1

[jtube]

@1:34 What do you mean ask Google?! That's how I got you! I want you to give me the answer. Lol

[jacksilber]

Your video isn't "thought provoking". It's just wrong. You cannot arbitrarily replace the brackets with a multiplication sign. Although the operation performed is identical to multiplication, what you are actually doing is an operation called DISTRIBUTION. Because the 2 is immediately in front of the bracket it must be distributed with what's inside the bracket to complete the P part of PEMDAS.

This does not contradict the law of PEMDAS. It's just that distribution belongs to the P in PEMDAS - not the M. There is no ambiguity in the way the problem is presented. The only ambiguity arises from the incorrect use of the term "multiply" in place of "distribute".

[fattata]

The reason people don't change it to 6/(2x3) is because the bracket never included the 2. Moving the term inside the bracket changes the answer.

[dgkcpa]

Trick question. 6÷2(1+2) is really just a fancy way of writing 6 ÷ 6 .
The 2(1+2) is window dressing designed to distract people from what would otherwise be obvious. (Hide the forest with trees)
Answer is 1: Proof: 2(1+2)=6, divide both sides by 2(1+2) and what do you get? 1= 6÷2(1+2) (put it in the calculator as 1=6÷(2(1+2))

[brandonleonchannel]

I want to point out that the way you typed it into python is not the way it is written. Also the way Google types it into it's calculator is also not the way it's written

[arin]

Let a=(1+2)...
6÷2a =6a÷2???

Try using casio calculator and you will see the difference bet. 6÷2(1+2) and 6÷2×(1+2)

multiplication written as juxtaposition should be regarded as having higher precedence than multiplication written with × and division written in ÷

[dramuh]

bro. The answer is 9. For all the people in the comments who think it’s 1, it’s not. You’re not meant to distribute the 2, you’re overthinking it. It’s simple multiplication using PEMDAS, where you have to solve what’s in the parentheses first

[benfarley]

Anyone who thinks it is either 1 or 7 please educate yourself

[shenn]

You took out the ambiguity due to multiplication by juxtaposition and left the ambiguity of the obelus. Multiplication by juxtaposition can take precedence over division when the order of operations is ambiguous. But, by changing 2(3) to 2 × 3 you have changed the priority. There is a reason we note variables this way 2t vs. 2 × t. 2t implies these are connected and 2 × t implies that they are not. Also, if you were to replace the obelus with the vinculum you could have also reduced the ambiguity by suggesting that everything right of the equation is separate from everything to the left (or top to bottom).
6
---
2(3)

If we multiply the 3 by the entire equation it would be incorrect, (6/2)3 vs. 6/2(3).
And remember that multiplication is associative and commutative and distributes over addition.
However, the original equation rife with ambiguity and unacceptable in higher mathematics would technically be this: 6÷2(1+2)=6÷2(3) now if we leave this unchanged we have to beat our heads against the wall. Do we assume that 2(3) takes precedence due to the aforementioned reasons or division by order of operations? The answer is there is no correct answer. This equation was written to piss people off and it does that!

[phoebevardus]

I came from a TikTok I knew it was 9 but people said 1 so I came to get my proof

[oyinkansolaomoseyin]

Me here from tik tok to prove I’m right 😭

[chrisschneider]

My problem is if it was 6 / 2Y Would you evaluate 6/2 x Y? This is the reason why I struggle with this. I would have thought written like it was you would evaluate the 2 with what is in the brackets.
I would have otherwise written 6 / 2 * (1+2). I can't seem to find any reference to it being solved that way but I'm intrigued by this type of ambiguity.

[dgkcpa]

That missing multiplication sign between 2 and (1+2) is significant. It has a particular meaning; and it is indicative of something important.
It tells us the distributive property is involved, and to treat the product of the two factors, 2 and (1+2) as a single value.

We could show distribution by writing this part as (2 x (1+2)), but that is cumbersome. Writing it as 2(1+2) is simpler, easier, and leaves less chance for error or misunderstanding.
Why isn't the 6÷2 distributed into (1+2)? If that were intended, then 6÷2 would be shown as (6÷2) and the problem would read as (6÷2)(1+2).
But that begs the question: Why would anyone go to the trouble? The purpose of distribution is to simplify an expression, not to make it more complicated.
If we distribute 6÷2 as a common factor into (1+2) we get the following:
6 12
+
2 2

Why would anyone apply the distributive property here at all, much less distribute an improper fraction? Simply add the numerators over their common denominator, and you're done!

[jiminverness]

The problem is (if one cannot get the problem creator to be less ambiguous about the intended expression) that those who interpret the problem in such a way as to get an answer of 16 are violating ISO 80000-2:2009(E) Item No. 2-9.5.

ISO 80000-2:2009(E) Item No. 2-9.5:
"This operation is named multiplication. The symbol for multiplication is a half-high dot (*) or a cross (x). Either may be omitted if no misunderstanding is possible."
The immense discussions on the disparity of interpretations of the presented expression make it clear that misunderstanding is possible in this case, hence, IF the expression is meant to be 6/2*(1+2) then the * cannot be omitted and stay in accord with the ISO.
Thus, if the expression is meant to be in accord with the ISO, then, failing to include a muliplication symbol between the 2 and the parentheses, it must be
treating the initial 2 as a coefficient, and implicit multiplication must therefore apply.

[amandeepkaur]

Mai insta se aai ye dekhne 🙁😂😂puzzle kr diya