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

Question

Responses

x⋅(y+z)=(x⋅y)+z
x times left parenthesis y plus z right parenthesis equals left parenthesis x times y right parenthesis plus z

m⋅(x⋅y)=(m⋅x)⋅y
m times left parenthesis x times y right parenthesis equals left parenthesis m times x right parenthesis times y

(x+y)+z+r=x+(y+z)+r
left parenthesis x plus y right parenthesis plus z plus r equals x plus left parenthesis y plus z right parenthesis plus r

y−(x+1)=(y−x)+1

Answer 1

The Associative Property of Addition states that when you add three or more numbers, the way in which the numbers are grouped does not change their sum. In other words, it highlights that the addition operation can be performed in any grouping.

Among the options you've provided, the one that correctly demonstrates the Associative Property of Addition is:

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

This shows that regardless of how you group the numbers being added, the result will be the same.

The other options relate to different properties (like multiplication or subtraction), so they do not demonstrate the Associative Property of Addition.