Question

Which equation shows an example of the associative property of addition?

(-7 + 1) + 71 = -7+ (i + 78)
(-7 + 1) + 7i = 71 +(-7i+1)
71% (-77 + 1) = (71-71) + (7ix)
(-71 + 1) + 0 = (-71 +1)

Answer 1

D

(-71+1) + 0 = (-71+1)

This is because the whole equation involves addition thus it is an example of associative property of addition

Answer 2

(-71 + 1) + 0 = (-71 +1)

Explanation:

Given 3 numbers: a,b,c

Associative property of addition: (a + b) + c = a + (b + c)

On this case: a= -71

b = 1

c = 0

(a + b) + c = (-71 + 1) + 0 = -70 + 0 = -70

(-71 + (1 + 0)) = (-71 + 1) = -70

Both the sums are equal to -70 and hence the associative property of addition for the three numbers a= -71, b = 1, c= 0 holds.

All the other options in the question contain a reference to variable i and does not have the same three values a,b,c on both sides of the equality. So they do not represent the associative property.