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Identify which mathematical operations are associated with coefficients?
That depends on the values of what but if you mean arithmetical operations then they are: addition, subtraction, division and multiplication
It is a more complicated mathematical expression.
They change the order of operations by giving priority to the contents of the parentheses. For example...2 + 3 x 4 = 14but...(2 + 3) x 4 = 20
GCF(16, 12) = 4. The distributive property is an attribute of two mathematical operations - not of numbers.