Multiplying & Dividing

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MULTIPLYING

   a) the ORDER of the terms does not matter
   b) the GROUPING of the terms does not matter

    3 . [(-5) . 6]   =   [3 . (-5)] . 6   =   6 . (-5) . 3

Therefore, the algebraic expression:

   17 . (-x . 4)

... can be re-written as:

   [17 . (-x)] . 4     >> re-grouped

   17 . (-x) . 4        >>un-grouped!

 

 

DIVIDING 

N.B. ALL division expressions can be re-written as multiplication by MULTIPLYING BY THE RECIPROCAL.  To find the reciprocal of a number, simply flip the numerator and denominator.  A number multiplied by its RECIPROCAL will always equal 1.
THE RULES OF MULTIPLICATION DO NOT APPLY!!
ORDER MATTERS (which is begin divided by which?):
   3 / 6 does NOT = 6 / 3
GROUPING MATTERS:
   36 / (2 / 3) does NOT = (36 / 2) / 3
Understanding these rules will help you simplify complex expressions involving parentheses

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