Question

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

Answer 1

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

\[ (x + y) + z = x + (y + z) \]

From the options you provided, the expression that correctly demonstrates the Associative Property of Addition is:

\[ (x + y) + z = x + (y + z) \]

If you are looking for a specific choice from the list you provided, the closest one to the Associative Property of Addition is:

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

This expression shows that when three numbers (x, y, and z) are added together, grouping them in different ways (either (x + y) + z or x + (y + z)) does not change the sum, which is characteristic of the Associative Property.