Which of the following correctly demonstrates the associative property?
A. a+b+c+d = abcd
B. (ab)+(c+d) = (ac)+(b+d)
C. (a*b)*c = b*(c*a)
D. none of the above

Question

Which of the following correctly demonstrates the associative property?
A. a+b+c+d = abcd
B. (ab)+(c+d) = (ac)+(b+d)
C. (a*b)*c = b*(c*a)
D. none of the above

kiera_ · Answer

C. (a*b)*c = b*(c*a)

directrix · Answer

The associative property for multiplication would say:

(a*b)*c = a*(b*c)

It is a grouping property and does not change the order of the variables.

The a, b, and c appear in the same order on both sides of the equation.

That is why I think this is not correct for this problem:

C. (a*b)*c = b*(c*a)

Look at the other options.