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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: • • 6÷2(1+2) = ? Correct Answer Explained... • https://productforums.google.com/foru... • http://community.wolfram.com/groups/-... • https://www.khanacademy.org/math/pre-... • 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
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