# 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

 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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