Question

Which expression would be easier to simplify if you used the associative property to change the grouping? OA. 6+ 1; +3) OB. I(-0.2) +(-0.6)] +1.7 O c.(2+)+-) O D. (60+ 40) +-27)

Answer 1

A.

`6+\lbrack(4)/(9)+(-(2)/(9))\rbrack`

Since both fractions have the same numerator, you can factorize 1/9 aout of the parentheses, because:

`\begin{gathered} (1)/(9)\cdot4=(4)/(9) \\ \text{and} \\ (1)/(9)\cdot2=(2)/(9) \end{gathered}`

Then you can simplify the expression as:

`6+(1)/(9)\lbrack4+(-2)\rbrack=6+(1)/(9)\lbrack4-2\rbrack`