Which of the following correctly demonstrates the Associative Property of Addition?(1 point)
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
(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
y minus left parenthesis x plus 1 right parenthesis equals left parenthesis y minus x right parenthesis plus 1
m⋅(x⋅y)=(m⋅x)⋅y
1 answer
The Associative Property of Addition states that when adding three or more numbers, the way in which the numbers are grouped does not change the sum. The correct response that demonstrates the Associative Property of Addition is:
\((x+y)+z+r = x+(y+z)+r\)
This equation shows how the grouping of the numbers does not affect the result of the addition.
