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Math - Brackets, Braces, and Parentheses










































Create numerical expression

   • Create your own numerical expression

           Use brackets, braces, and parentheses

           Combine numbers and one or more mathematical operation symbols

           The value of the numerical expression must equal 268

Comments for Math - Brackets, Braces, and Parentheses

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Sep 26, 2012
Create numerical expression
by: Staff


Answer:

Part I

Here is an example of a numerical expression which answers your question::

         {[15 - (-5 * 2138)] + 15}/40 = 268


     This expression uses:

         1. Braces { }

         2. Brackets [ ]

         3. Parentheses ( )

         4. Division ÷

         5. Multiplication *

         6. Addition +

         7. Subtraction -

         8. Negative numbers

         9. (only) Integers


     As you can see, when this expression is evaluated the result is 268.


You can verify the result as follows::

     Evaluate the expression using PEMDAS, beginning with the innermost parentheses ( )

         {[15 - (-5 * 2138)] + 15}/40 = 268


     Inner most parentheses: (-5 * 2138) = -10690

         Replace the numbers in the inner most parentheses with -10690

         {[15 - (-10690)] + 15}/40 = 268


     Next level of parentheses: [15 - (-10690)]

         PEMDAS order means that you must complete any multiplication first, and then complete any addition or subtraction.

         [15 - (-10690)]

         [15 + (-1)*(-10690)]

         [15 + 10690]

         With the multiplication complete, the final addition with the [ ] can be completed

         [15 + 10690] = [10705]

     Replace the numbers within the [ ] with 10705

         {[15 - (-10690)] + 15}/40 = 268

         {[10705] + 15}/40 = 268

         {10705 + 15}/40 = 268

-------------------------------------------

Sep 26, 2012
Create numerical expression
by: Staff


-------------------------------------------

Part II

     Next level of parentheses: {10705 + 15}

         Add the numbers within the { }

         10705 + 15 = 10720

     Replace the numbers within the { } with 10720

         {10705 + 15}/40 = 268

         {10720}/40 = 268

         10720/40 = 268


     Complete the final division

         10720/40 = 268

         268 = 268


The question you are probably asking is: how was the numerical expression developed in the first place?:

         {[15 - (-5 * 2138)] + 15}/40 = 268


     The answer is: Use PEMDAS in reverse, SADMEP.

     Since 268 is the desired result:

         {[( )]} = 268


     I thought, dividing {[( )]} by 40 would be interesting

         {[( )]}/40 = 268


     Therefore,

         {[( )]} = 268*40

         {[( )]} = 10720


     Why not add the number 15 somewhere within {[( )]} ?

         {[( )]} = 10720

         {[( )] + 15} = 10720


     Therefore,

         [( )] = 10720 - 15

         [( )] = 10705


     Why not include a subtraction somewhere within [( )]

         [( )] = 10705

         [15 - ( )] = 10705


-------------------------------------------

Sep 26, 2012
Create numerical expression
by: Staff


-------------------------------------------

Part III


     Therefore,

         15 - ( ) = 10705

         ( ) = 15 - 10705

         ( ) = -10690


     Why not include a multiplication somewhere within ( )

         ( ) = -10690

         -5 * 2138 = -10690


     To complete the numerical expression

         {[( )]}/40 = 268


     Place -5 * 2138 inside the ( )

         (-5 * 2138) = -10690

         {[(-5 * 2138)]}/40 = 268


     Place 15 - (-5 * 2138) inside the [ ]

         [ ] = [15 - (-5 * 2138)]

         {[15 - (-5 * 2138)]}/40 = 268


     Finished.

Final Answer:


                 {[15 - (-5 * 2138)] + 15}/40 = 268





Thanks for writing.

Staff
www.solving-math-problems.com


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