8th Grade Math

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     Order of Operations:

   G                                  1) Parenthesis or other grouping symbols
   E                                  2) Exponents
   MD-left to right         3) Multiplication or division in the order it appears from left to right
   AS-left to right          4) Addition or subtraction in the order it appears from left to right

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   Adding and Subtracting Rational Numbers:                               
              
   Same sign, add and keep the sign,                         -2 - 6 = -8        4 + 5 = 9          
   Different signs, subtract.                                                             
   Take the sign of the dominant number,                  2 - 6 = -4       -4 + 5= 1            
   Then you'll be exact. 

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   Add a line,                                          ^-8 – ^- 10
   Change the next sign                       =  ^-8 + 10    
   (Keep, Change, Change)                  =  2   ____________________________________________________________________________________________

   Multiplying and Dividing Rational Numbers

   pos x pos = pos                         6 x 8  =  48
   pos x neg = neg                         6 x -8 = -48   and   -6 x 8 = -48
   neg x neg = pos                        -6 x -8 =  48

   any number x zero = zero       -6 x 0  =  0

   pos / pos = pos                                                               10/2  =  5
   pos / neg = neg  (Also, neg / pos = neg)                     10/-2 = -5    and   -10/2 = -5
   neg / neg = pos                                                              -10/-2 = 5
 
   zero / any number = zero                                                0/7 = 0              0/-4 = 0
   any number / zero = there is no answer for this!        7/0 = undefined 

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   Multiplying Fractions

   Multiply fractions, that's no problem.
   Top times top over bottom times bottom.
             
    And before you say goodbye, 
    Don't forget to simplify.

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   Dividing fractions, don't ask why,
   Just flip the second number and multiply.
           
    And before you say goodbye, 
    Don't forget to simplify.
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