6÷2(1+2) = x Solve for x

Discussion in 'Sidewinders Bar & Grille' started by PCollen, Aug 14, 2021.

6÷2(1+2) = x Solve for x

Poll closed Aug 16, 2021.
  1. 1

    45.1%
  2. 9

    54.9%
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  1. Danny D

    Danny D Strat-O-Master

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    Says the poster that writes without capitalization and punctuation.

    I see what you did. Pretty clever!
     
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  2. Danny D

    Danny D Strat-O-Master

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    But that's low to high. Doesn't the problem want us to go from high to low?
     
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  3. kilroy

    kilroy Strat-Talker

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    The answer is 1, and there is no discussion to be had, no opinions. It's PEMDAS. The order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.

    6÷2(1+2) = x

    P: 1+2 = 3
    E: N/A
    M: 2(1+2) = 2x3 = 6
    D: 6÷6=1
    A:N/A
    S:N/A
     
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  4. stratocarlster

    stratocarlster Most Honored Senior Member

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    PEMDAS is an over-simplification that we teach to children to make things easy...
     
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  5. The Tortoise

    The Tortoise Strat-Talk Member

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  6. davefest

    davefest New Member!

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    FWIW, my daughter tells me they are now teaching GEMS:

    G = grouping; i.e., parentheses
    E = exponent
    M = multiplication/division
    S = sutraction/division.

    Left to right within M and S. The E level might still need elaboration, but definitely a big step forward from BODMAS/PEMDAS.

    Dave
     
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  7. henderman

    henderman Dr. Stratster

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    i am informal here cuz i usually miss something when i check my spelling and stuff anyway. plus my brain talks faster than i can type so i just lay it down so i do not forget.

    but i try my best to be sure communication still occurs even if i am an informal typist.

    i wish i could type this well -
     
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  8. donnyrocker

    donnyrocker Strat-Talk Member

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    "Microsoft Excel

    We found a typo in your formula '=6/2(1+2)' and tried to correct it to
    =6/2*(1+2)
    Do you want to accept this correction?

    [Yes]

    MS replies with '9'
     
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  9. Miotch

    Miotch Senior Stratmaster

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    That is somehow what I thought I typed. DOH !! I added an edit. I apparently have no skills in math or writing.
     
  10. bf1024

    bf1024 Strat-Talk Member

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    NOPE..Inside the parenthesis first, then order of operation...NOT left to right...order of operation is M-D-A-S (My Dear Aunt Sal----we learned that in 3rd grade, amazing how many forgot it). Who's the dummy now..heh, heh
     
  11. Believer7713

    Believer7713 The Pink Bunnyman Frankenstein Silver Member

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    Really, I stopped reading this forum until a little while ago when I saw I had been quoted.
    The laws of mathematics are constant and purely concrete. Like the Law of gravity. I know this is cliché but if you step off the roof of your house you will fall. That doesn't mean gravity exists. The fact that gravity exists means that you will fall.
    The laws of mathematics dictate what the answer will be. The answer does not dictate what rules should be followed. That mentality creates a "my truth" situation and in those, no one will ever be able to agree, or be right, because the absolute has been removed from the truth. If there is no absolute then there is no universality which creates a world of chaos. Just like this thread. These laws are not in any way abstract like the laws of society have become. These laws also continually apply throughout all math the higher you go. They do NOT change...EVER. They also don't care if you agree or not.
    The laws that dictate math state that the parenthetical question needs to be answered first. Then since multiplication and division do not take precedence over each other but do over addition and subtraction then you MUST solve them in the order they are read (Whether that be left to right, right to left, up or down). If you assume that there is a other set of brackets in this equation you are wrong. The equation is written correctly and should be read 6/2 (=3)multiplied by the quantity of 1+2 (=3). Therefore 3•3, 3×3, 3(3) however you choose to write it, equates to 9.
    What we are dealing with here is a case of ignoring the basics. These rules of math are even the reason that music works the way it does. It's no wonder that music theory is so confusing to many...since the basic laws of simple grade school math have been blurred by people that want to change the world.
     
  12. Believer7713

    Believer7713 The Pink Bunnyman Frankenstein Silver Member

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    But since I read from left to right the order of operation is () First, the division THEN the division. So I'm not The dummy.;)
     
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  13. rcole_sooner

    rcole_sooner Most Honored Senior Member

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    PEMDAS seems to leave out left to right as the first rule.

    o_O


    ..and as I reread my own post, I noticed the post above mine. But as far as I know the implied multiplication is equivalent in ordering to the division. That means () is not first, () come after dividing 6 by 2. Then that value is multiplied by the contents of ().
     
  14. Skychurch

    Skychurch Strat-Talk Member

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    The video is correct ...

    Parenthesis, multiplication, division, addition, subtraction

    6/2(1 + 2) = 6/2(3) = 6/6 = 1
     
  15. TJG1

    TJG1 New Member!

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    You're doing the multiplication and division in the wrong order:

    First parens:
    6/2(1 + 2) = 6/2(3) =

    Multiplication and division IN THE ORDER THEY APPEAR, L to R.
    So divide first, then multiply:
    3(3) = 9

    You can also do division and multiplication first, then distribute:
    3(1 + 2) = 3 + 6 = 9
     
  16. Andrew Wasson

    Andrew Wasson Senior Stratmaster

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    No it isn’t. This is literally grade 7 math. The point of this little expression is to see if the student understands the order of operations and if you didn’t answer with 9, you got it wrong.

    When it comes to multiplication and division, outside of brackets, they have equal importance so it is always left to right.

    6/2(1 + 2) = 6/2(3) = 3(3) = 3x3 = 9

    If you’re a real star of the grade 7 class and you really understand order of operations you can solve outside the brackets first and then inside the brackets because you know that division and multiplication have equal importance and you can do this.

    6/2(1 + 2) = 3(1 + 2) = 3(3) = 3x3 = 9.

    Yeah, that’s right… I just blew your mind
     
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  17. bendeane

    bendeane New Member!

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    A basic sub-rule to PEMDAS is perform multiplying/dividing from left to right based on whichever operation is first. PEMDAS holds multiplication/division as equals and addition/subtraction as equals performed left to right. If we're gonna follow rules, we follow all of the rule, not just the parts we remember. The origins of this equation are either forgetting that the MD and AS are equals performed left to right, or are counting on half of us forgetting that sub-rule for exactly the purpose that has been displayed here.
     
  18. ThebiggestJerk

    ThebiggestJerk Senior Stratmaster

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    The issue that seems to exist is in the order of operations in that apparently in some parts of the world division comes before multiplication.
    But bottom line is that it is 1 because this coefficient 2(1+2) needs to be handled first. You can’t divide 6/2 and just leave off the (1+2). That’s just poor maths.
     
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  19. 33db

    33db Senior Stratmaster

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    9
     
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  20. Mhannigan

    Mhannigan Strat-Talk Member

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    +1 (get it?)

    9 is the only correct answer. There is no other answer to this problem.
     
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