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  1. Join Date
    Apr 2007
    Posts
    21,343
    #21
    48÷2(9+3)=

    Distribute 2 to 9+3
    18+6
    =24

    48÷24=2



    Lintik napa-isip pa ako. :hysterical:

  2. Join Date
    Jan 2007
    Posts
    2,954
    #22
    Do things in parentheses first.

    48 ÷ 2 x (9 + 3)
    48 ÷ 2 x 12

    Go left to right.

    48 ÷ 2 x 12
    24 x 12
    288

    http://www.mathsisfun.com/operation-order-pemdas.html

    Do things in Parentheses First. Example:

    6 × (5 + 3) = 6 × 8 = 48
    6 × (5 + 3) = 30 + 3 = 33 (wrong)

    Exponents (Powers, Roots) before Multiply, Divide, Add or Subtract. Example:

    5 × 22 = 5 × 4 = 20
    5 × 22 = 102 = 100 (wrong)

    Multiply or Divide before you Add or Subtract. Example:

    2 + 5 × 3 = 2 + 15 = 17
    2 + 5 × 3 = 7 × 3 = 21 (wrong)

    Otherwise just go left to right. Example:

    30 ÷ 5 × 3 = 6 × 3 = 18
    30 ÷ 5 × 3 = 30 ÷ 15 = 2 (wrong)

  3. Join Date
    Nov 2002
    Posts
    2,059
    #23
    "Distributive property of multiplication. Early Algebra.

    The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up. 2(9+3) follows the distributive property which can be rewritten as (2*9+2*3). Let me repeat the 2 outside of the parenthesis follows the distributive property of multiplication and must be factored and simplified before performing any other operations on it.

    So this can be rewritten as:
    48 / (2*9 + 2*3)

    Which leaves us with

    48 / 24 = 2

    Answer = 2."

    got this from the net, it seems that a lot of people are also arguing what is the correct answer.
    Last edited by ARB; April 12th, 2011 at 08:28 PM.

  4. Join Date
    Jan 2010
    Posts
    631
    #24
    I created a simple script to see what the result is.
    copy-paste into a text file, name it test.html.

    Then, open the file with a browser.


    <html>
    <body>
    <script>
    document.write("48/2(9+3) = " + 48/2*(9+3));
    </script>
    </body>
    </html>

    48÷2(9+3) is simply 48÷2×(9+3)

    The rule in algebra is that operations follow the MDAS rule from left to right, with the parenthesis changing the precedence order. So, 48÷2 gets operated on first. The result is then multiplied to the result of (9+3) since the parenthesis around 9 and 3 indicate the summation must be done first.

    This is just like

    a÷bc

    the above is NOT a÷(bc), because multiplication and division have the same precedence.

    a÷bc is just (a÷b)c


    You could check Google:

    http://www.google.com.ph/search?q=48...ient=firefox-a

  5. Join Date
    Apr 2010
    Posts
    91
    #25
    Quote Originally Posted by ARB View Post
    "Distributive property of multiplication. Early Algebra.

    The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up.
    Agree with this. answer is 2

  6. Join Date
    Jul 2008
    Posts
    292
    #26
    Quote Originally Posted by ARB View Post
    "Distributive property of multiplication. Early Algebra.

    The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up. 2(9+3) follows the distributive property which can be rewritten as (2*9+2*3). Let me repeat the 2 outside of the parenthesis follows the distributive property of multiplication and must be factored and simplified before performing any other operations on it.

    So this can be rewritten as:
    48 / (2*9 + 2*3)

    Which leaves us with

    48 / 24 = 2

    Answer = 2."

    got this from the net, it seems that a lot of people are also arguing what is the correct answer.
    exactly!

  7. Join Date
    Jan 2010
    Posts
    631
    #27
    Quote Originally Posted by ARB View Post
    "Distributive property of multiplication. Early Algebra.

    The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up.
    I respectfully disagree. The full term is The Distributive Property of Multiplication OVER Addition; it never says OVER DIVISION because in PEMDAS, multiplication and division are equal and evaluated left to right in the absence of parenthesis.

    Distributive Property of Multiplication OVER Addition applies when you have something like

    a+b(c+d) which equates to a+bc+bd because b(c+d) has precedence over a+b.

    However, in the expression

    a/b(c+d)

    you cannot evaluate b(c+d) before a/b because multiplication has the same precedence as division, you need to follow left to right evaluation. So that expression becomes (a/b)*(c+d)

    Parenthesis, Exponents, (Multiplication-Division), (Addition-Subtraction).

    In the expression 48÷2(9+3), this is simply another way of saying saying 48÷2×(9+3), and thus your terms as 48, 2, and (9+3). PEMDAS then states that you evaluate the terms inside the parenthesis first, 9+3=12

    Then, you are left with 3 terms, 48, 2, 12. Using PEMDAS again, since the remaining operators are multiplication and division, you just evaluate left to right.

  8. Join Date
    Mar 2009
    Posts
    21,667
    #28
    Sabi ng calculator, 2 !

    Wala nang away kasi ang sagot, 2 !

    Alangan mo naman magkamali ang calculator diba.

  9. Join Date
    Jan 2010
    Posts
    631
    #29
    Quote Originally Posted by renzo_d10 View Post
    Sabi ng calculator, 2 !

    Wala nang away kasi ang sagot, 2 !

    Alangan mo naman magkamali ang calculator diba.
    Because the way you press the numbers on the calculator does not follow the PEMDAS rule. You must have first done

    9+3

    which is correct, because terms inside the parenthesis are evaluated first. However, you must have multiplied that by 2 immediately to get 24. You then Used 24 as a divisor for 48.

    But that is wrong, because you performed the multiplication operation first, when it is the division that should have been done first as it is to the left of the multiplication operation.

  10. Join Date
    Feb 2007
    Posts
    567
    #30
    Both correct para walang away

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Math: right answer