48÷2(9+3) = ???

Options
13468913

Comments

  • traestar
    traestar Members Posts: 6,030 ✭✭✭✭✭
    edited April 2011
    Options
    Please excuse my dear aunt sally

    2
  • cutthecrapolabuddy
    cutthecrapolabuddy Members Posts: 367
    edited April 2011
    Options
    some of yall make me feel ashamed
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
    Options
    Young-Ice wrote: »
    Exactly. you solve what's IN the parentheses first before you move onto the next step. Once nothing INSIDE the brackets can be done anymore, you move to the next step.

    You don't multiply what's outside the brackets with what's inside the brackets until the appropriate time. In this case, you can not do it before you divide, as the 48 /2 has priority over it.

    Look up distribution rules because they would apply here.
  • Dakari
    Dakari Members Posts: 9,387 ✭✭✭
    edited April 2011
    Options
    EVERYBODY SAYiNG 2 IS SOFA KING WE TODDED!!!!!!
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
    Options
    Young-Ice wrote: »
    this isn't algebra.

    and also, 2 X (4) = (2x1)+(2x3)

    so idunt see the difference

    It actually is alegbra lol...

    You wouldnt see a difference in what you are typing here. Which is why I said consider 2(x+1) vs 2x+1.
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
    Options
    No, it's the same equation, put it into excel and it will correct it the way I have it written in excel.

    It can be interpreted either way. Personally, I would factor the 2 in using the distributive law. Dont hack me bro.
  • StoneColdMikey
    StoneColdMikey Members, Moderators Posts: 33,543 Regulator
    edited April 2011
    Options
    traestar wrote: »
    Please excuse my dear aunt sally

    2

    ^^^^^^^^^^^
  • ineedpussy
    ineedpussy Members Posts: 7,252 ✭✭✭✭✭
    edited April 2011
    Options
    whoever said two is right here it is broken down
    48/2(9+3)
    48/2*12
    48/24
    2

    its that simple.
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
    Options
    Young-Ice wrote: »
    there are no letters being used in place of numbers. this is not algebra

    Algebra encompasses more than using variables...
  • fiat_money
    fiat_money Members Posts: 16,654 ✭✭✭✭✭
    edited April 2011
    Options
    major pain wrote: »
    ...48/2(9+3) is different from 48/2 * (9+3)
    This is where you're incorrect.

    Factoring is merely the process of multiplying something into parenthesis or dividing something out of the parenthesis, and parenthesis are used to group terms within.

    So using a * as a multiplication symbol would not stop something from factoring into parenthesis.


    Let's look at both of these individually:

    We start with: 48/2(9+3)
    The first thing to notice is that 48 is being divided by 2: 48/2(9+3)
    2 goes in to 48 24 times, so now we have: 24(9+3)
    Now we can factor 24 into the parenthesis: (24*9+24*3)
    Next, we finish multiplying: (216+72)
    By adding the two, we get: 288

    Now onto the second version: 48/2*(9+3):
    Here, the first thing we notice is also that 48 is being divided by 2: 48/2*(9+3)
    2 still goes in to 48 24 times, so now we have: 24(9+3)
    Now we can multiply 24 into the parenthesis: (24*9+24*3)
    Next, we finish multiplying: (216+72)
    By adding the two, we get: 288

    How about if we start with the parenthesis first?:

    We have: 48/2*(9+3) or 48/2(9+3)
    This time, we start with the terms in the parenthesis first and add 9 to 3: 48/2(12) or 48/2*(12)
    Next, we notice that once again there is a 48 being divided by 2, and we already know what that means: 24(12) or 24*(12)
    Now by factoring or multiplying the 24 in we get the product: 288 or 288

    So it can be said conclusively that 48/2(9+3) is the same as 48/2 * (9+3) and that both equal 288.

    That's it for this edition of Math with fiat.

    ik8dlc.png
  • #1 pick
    #1 pick Members Posts: 3,926 ✭✭✭✭
    edited April 2011
    Options
    ? saying 288 with heart. It's okay, my sister who's the top engineer in her class missed it too. My younger sister got it right. Me, well I was ? up for a minute, forget about PEMDAS and didn't bother to answer until I remembered the rules. Just the fact that it's a question make me think this was a trick question.
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
    Options
    After consulting with an actuary I know. (He has a degree in math). He says he would solve it as 288, but 2 should not be wrong either if this was not a multiple choice problem.
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
    Options
    fiat_money wrote: »
    This is where you're incorrect.

    Factoring is merely the process of multiplying something into parenthesis or dividing something out of the parenthesis, and parenthesis are used to group terms within.

    So using a * as a multiplication symbol would not stop something from factoring into parenthesis.


    Let's look at both of these individually:

    We start with: 48/2(9+3)
    The first thing to notice is that 48 is being divided by 2: 48/2(9+3)
    2 goes in to 48 24 times, so now we have: 24(9+3)
    Now we can factor 24 into the parenthesis: (24*9+24*3)
    Next, we finish multiplying: (216+72)
    By adding the two, we get: 288

    Now onto the second version: 48/2*(9+3):
    Here, the first thing we notice is also that 48 is being divided by 2: 48/2*(9+3)
    2 still goes in to 48 24 times, so now we have: 24(9+3)
    Now we can multiply 24 into the parenthesis: (24*9+24*3)
    Next, we finish multiplying: (216+72)
    By adding the two, we get: 288

    How about if we start with the parenthesis first?:

    We have: 48/2*(9+3) or 48/2(9+3)
    This time, we start with the terms in the parenthesis first and add 9 to 3: 48/2(12) or 48/2*(12)
    Next, we notice that once again there is a 48 being divided by 2, and we already know what that means: 24(12) or 24*(12)
    Now by factoring or multiplying the 24 in we get the product: 288 or 288

    So it can be said conclusively that 48/2(9+3) is the same as 48/2 * (9+3) and that both equal 288.

    That's it for this addition of Math with fiat.

    ik8dlc.png


    I understand how you get to that and I'm not saying its wrong, but traditional methods I've been taught would be to distribute first. By doing the division portion of the problem it changes the way you solve the rest.
  • Dakari
    Dakari Members Posts: 9,387 ✭✭✭
    edited April 2011
    Options
    smh @ ? just knowing wat PEMDAS stands for and ignoring the rules.
  • Craig Robinson
    Craig Robinson Members Posts: 2,819 ✭✭✭✭
    edited April 2011
    Options
    4zz3oh.png

    ...............................
  • DoUwant2go2Heaven
    DoUwant2go2Heaven Members Posts: 10,425 ✭✭✭✭✭
    edited April 2011
    Options
  • 1of1
    1of1 Members Posts: 37,468 ✭✭✭✭✭
    edited April 2011
    Options
    So I bought a money machine
    And it goes
    Atacktack-rrrrrrrracktack-rrrrrrrrracktacktatatatattdough
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
    Options
    lol i believe this is an intentional math troll problem designed to confuse people. The problem isn't set up correctly which is why excel got an error when entered the way it is written in the title.

    Of course it is lol pretty funny.
  • freshb651
    freshb651 Members Posts: 8,240 ✭✭✭✭✭
    edited April 2011
    Options
    So I bought a money machine
    And it goes
    Atacktack-rrrrrrrracktack-rrrrrrrrracktacktatatatattdough

    how many styles i gotta kick to prove i'm def ?
  • fiat_money
    fiat_money Members Posts: 16,654 ✭✭✭✭✭
    edited April 2011
    Options
    major pain wrote: »
    I understand how you get to that and I'm not saying its wrong, but traditional methods I've been taught would be to distribute first. By doing the division portion of the problem it changes the way you solve the rest.
    Distribution is merely of multiplication, and since multiplication and division are commutative operands, the order in which the operations are performed will not change the out come as long as it is done correctly.

    Let's look at another method of solving the problem:
    We start with: 48/2(9+3)
    Now, using the distributive property, we distribute 48/2 into the parenthesis: ((48/2)9+(48/2)3)
    Next, we can multiply the distributed term with the terms in the parenthesis: (((48*9/2)9+((48*3)/2))
    We can now finish multiplying: ((432/2)+(144/2))
    And finally by doing the division by 2 last, we get: (216+72)
    After adding, the answer is once again 288

    So it can be said conclusively that multiplication and division are commutative operands and that changing the order of the two does not change that answer.

    That's it for this edition of Math with fiat.

    ik8dlc.png
  • Craig Robinson
    Craig Robinson Members Posts: 2,819 ✭✭✭✭
    edited April 2011
    Options
    fiat_money wrote: »
    ik8dlc.png

    This ? dope lmao
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
    Options
    fiat_money wrote: »
    Distribution is merely of multiplication, and since multiplication and division are commutative operands, the order in which the operations are performed will not change the out come as long as it is done correctly.

    Let's look at another method of solving the problem:
    We start with: 48/2(9+3)
    Now, using the distributive property, we distribute 48/2 into the parenthesis: ((48/2)9+(48/2)3)
    Next, we can multiply the distributed term with the terms in the parenthesis: (((48*9/2)9+((48*3)/2))
    We can now finish multiplying: ((432/2)+(144/2))
    And finally by doing the division by 2 last, we get: (216+72)
    After adding, the answer is once again 288

    So it can be said conclusively that multiplication and division are commutative operands and that changing the order of the two does not change that answer.

    That's it for this edition of Math with fiat.

    ik8dlc.png

    In this version you are distributing the entire 48/2. Which is the same as 48/2 x (9+3).

    Its left to interpretation like I said before.
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
    Options
    Cliff note version.

    Is the problem

    1. a / b(c + d)

    or

    2. a / b x (c+d)

    First version = 2 as you distribute b into (c + d).

    Second verison = 288 as you divide a and b then multiply by the sum of c + d.

    As its written, answer = 2.
  • fiat_money
    fiat_money Members Posts: 16,654 ✭✭✭✭✭
    edited April 2011
    Options
    major pain wrote: »
    In this version you are distributing the entire 48/2. Which is the same as 48/2 x (9+3).

    ...
    Exactly, and since we know that 48/2 is a fraction it can be distributed as if it were a single term. Even when distributing the simplified 24, we are actually distributing 24/1.

    So it can be said conclusively that there is nothing wrong with distributing fractions, because really, any number can be represented as a fraction.

    That's it for this edition of Math with fiat.

    ik8dlc.png
  • #1 pick
    #1 pick Members Posts: 3,926 ✭✭✭✭
    edited April 2011
    Options
    fiat_money wrote: »
    Distribution is merely of multiplication, and since multiplication and division are commutative operands, the order in which the operations are performed will not change the out come as long as it is done correctly.

    Let's look at another method of solving the problem:
    We start with: 48/2(9+3)
    Now, using the distributive property, we distribute 48/2 into the parenthesis: ((48/2)9+(48/2)3)
    Next, we can multiply the distributed term with the terms in the parenthesis: (((48*9/2)9+((48*3)/2))
    We can now finish multiplying: ((432/2)+(144/2))
    And finally by doing the division by 2 last, we get: (216+72)
    After adding, the answer is once again 288

    So it can be said conclusively that multiplication and division are commutative operands and that changing the order of the two does not change that answer.

    That's it for this edition of Math with fiat.

    ik8dlc.png
    Sit down ? , this is one of the both answers are right questions because of the loose base of the rules. 24 also has the fight chance as well.
This discussion has been closed.