Which of the following correctly demonstrates the Associative Property of Addition?(1 point) Responses (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 x⋅(y+z)=(x⋅y)+z

Answer 1

The Associative Property of Addition states that the way in which numbers are grouped in an addition operation does not change their sum.

From the options provided, the correct demonstration of the Associative Property of Addition is:

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

This shows that regardless of how we group \(x\), \(y\), \(z\), and \(r\), the total remains the same.

The other option you have, \(x \cdot (y + z) = (x \cdot y) + z\), refers to a different property related to multiplication and is not an example of the Associative Property of Addition.

So the correct response is:

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