Quote:
Originally Posted by Geary
48÷2(9+3) = 48÷[2x(9+3)] = 2
....
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That is a false equality
the
only rule that
allows the addition of a parenthesis that was not explicitly written in the original problem is the the associative property of multiplication or the associative property of addition. The reason is that doing so can alter the order of operations and thus the result, as we have seen here.
division and subtraction do not have the associative property so you cannot add a parenthesis anywhere that will alter the left to right rule, this rule was violated above when [] was added to the original problem.