Which of the following correctly demonstrates the Associative Property of Addition?(1 point)

Question

x⋅(y+z)=(x⋅y)+z
(x+y)+z+r=x+(y+z)+r
y−(x+1)=(y−x)+1
m⋅(x⋅y)=(m⋅x)⋅y

Answer 1

The Associative Property of Addition states that the way in which numbers are grouped when they are added does not change their sum. In mathematical terms, it can be expressed as:

\((a + b) + c = a + (b + c)\)

Looking at the options you provided, the one that correctly demonstrates the Associative Property of Addition is:

\( (x+y)+z+r = x+(y+z)+r \)

This option shows that the grouping of the numbers doesn't affect the result of the addition, thus it represents the associative property correctly.