Let's settle this VIRAL Math Debate..
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- Опубліковано 10 вер 2024
- 🧩 Join us in this intriguing short video as we tackle the viral math debate that's been stumping the internet: Is 6/2(1+2) equal to 1 or 9? We break down this puzzle using the PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) rule to arrive at the definitive answer.
📚 What's Inside:
PEMDAS Explained: A quick refresher on the PEMDAS rule, a fundamental concept in arithmetic that determines the order of operations in math problems.
Step-by-Step Solution: We meticulously apply the PEMDAS rule to the expression 6/2(1+2), explaining each step to clarify how the final answer is derived.
✨ Whether you're a math enthusiast, a student grappling with arithmetic concepts, or just curious about the viral debate, this video offers a clear, concise, and educational perspective.
👍 Like, Share, and Comment your thoughts below! Did you get 1, 9, or a different answer before watching the video?
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The reason the calculator gives the answer of 1 is because PEMDAS is in teaching a linear version of Algebra, and the Calculator is computing it as Algebra.
Point being, multiplying the coefficient of the parentheses is a required step of the P, the first step, is required to remove the parentheses from the equation. By adding a multiplication symbol after the two, you are changing the function of the equation.
6/2(1+2) does not equal 6/2 × (1+2).
To prove that it is 1, replace a random number with a variable, such as representing the 6 as X, and solve for X. Your answer would be X/6, replace the X with 6, 6/6 = 1
If the division symbol was gone and it was arranged like a fraction, it seems like it'd equal 1.
It all comes down to whether the left or right rule takes precedence or the juxtaposition
If you follow the order multiplication comes before division...not to mention the channel creator said left to right but the left has nothing but a 6...so you solve the right side and then youre left with the simplified version of the equation which is 6 divided by 6...not hard or confusing...and adding the multiplication symbol at the end like he did changes the linear progression of the equation in the calculator to produce an entirely new equation...he didnt simplify it like you should be when solving it with PEMDAS
why dont they write stuff like (6/2)(1+2) or smth like that to avoid confusion
The point is to cause confusion
@@randomdude7386 lol
I believe the calculator is taking the 2(1+2) has 2 groups of 3, so 6/2 groups of 3. The parenthesis = to 6 and is considered first. Weird math quirks, I know. PEMDAS is always right, EXCEPT when… get your story straight people
Parenthesis first so 2(1+3) to 6
Then 6 divided by 6 which equals 1
parenthesis first means whats inside of the parenthsis,not that which is outside multiplying it,but it doesnt matter either way,both answers are correct,its just that they're the answer to different operations,6/(2(2+1)) will give you 1 while 6/2 x(2+1) will be 9,this is very obvious once you stop using the division symbol and put it all into fractions which i cant do in a comment
@@trallegas6589 The way I learned math was simply to distribute first then solve left to right regardless of division or multiplication. The conflict in this debate simply comes down to different methods to solve the problem. Ultimately yes 1 and 9 are correct.
@@trallegas6589@trallegas6589 thats the thing, the question boils down to how you draw the fraction. How I and the other commenter learned it is that the 2 infront of the brackets is a part of them because the 2 is factored out of the bracket thus the 2 is a part of the bracket. This means we draw the fraction as: 6÷(2(1+2)) whilst you compute it as: (6÷2) * (1+2) that is also what the calculator did when the multiplication was explicit, the 2 was no longer a part of the brackets thus it has to draw the fraction how you did, so after some rearrangement and simplification you should get something like: (6 * 3)/2 which is the same as 18/2 or just 9. As the calculator has shown both results can be correct just really depends on how you see the 2 infront of the brackets
why don't we convert 2 and 1 to x and y
6 / 2 ( x + y )
6 / 2x + 2y
6 / 2(1) + 2(3)
6 / 2 + 6
3 + 6
9
so the answer is 9
y was = 2 right??
@@wenomechainsama7539 oh shiet you right
@@wenomechainsama7539then the answer is 7 💀
@@wenomechainsama7539yes y was 2
You do understand if you factor in the brackets percist in case of multiplication or division interacting with the result and y is 2 since you made x=1.
Frogman here to save the day
you can also do this if its still confusing to you
6/2(1+2) = y
6/2 x 3 = y
6/2 = y/3 (since 3 is in multiplication form, moving it from LHS to RHS will alter its form to division)
3 = y/3
3 x 3 = y (we cant divide a variable, i.e, 'y', in maths)
9 = y
hence proven
there is a mathematical error on line 2 6/2(1+2) doesn't change to 6/2*3 because how division works, if you are going to change the implicit multiplication to an explicit one you need to add brackets, so it would be 6/(2*3) because explicit operations terminate the grouping of a division whereas implicit multiplication doesn't.
3 + 5 / 4 * 2 would be (3 + ((5/4) * 2)) = 43 the explicit operations terminate the division so you wouldn't need to add the brackets.