Question

Which expression would be easier to simplify if you used the associativeproperty to change the grouping?

Answer 1

In option A, if expression is simplify with out using associative property then addition of 4/9 and -2/9 is easy, as compare to addition 6 and 4/9. So no need to apply associateive property to option A.

In option B, 60 and 40 can be easily add as compare to 40 and -27 so this expression do not need to apply associative property.

In option C, the expression is easier to simplify if 5/2 and -1/2 is added, which is possible if associative is apply to the expression.

`\begin{gathered} (2+(5)/(2))+(-(1)/(2))=2+((5)/(2)-(1)/(2)) \\ =2+((5-1)/(2)) \\ =2+2 \\ =4 \end{gathered}`

Thus option C use associative property to make the simplification easier.

Answer: Option C.