Question

Which expression would be easier to simplify if you used the associativeproperty to change the grouping?A. [-40+ (60)] + 52B. 85+ (120+80)C. (2+ ) +D. 4+ (1.2+(-0.2))

Answer 1

Consider the option A:

In option A if fraction 3/7 and 4/7 is added together then results in a whole number make the simplification easier by using the assocoiative property.

$\begin{gathered} (2+\frac{3}{7})+\frac{4}{7}=2+(\frac{3}{7}+\frac{4}{7}) \\ =2+(\frac{4+3}{7}) \\ =2+1 \\ =3 \end{gathered}$

Thus, associative property make the simplification easier in expression of option A.

So answer is option A.

In remaining option associative property not make the simplication easier as addition of number with 0 at unit digit is easy.