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

Question

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

A. m⋅(x⋅y)=(m⋅x)⋅y
B. y−(x+1)=(y−x)+1
C. (x+y)+z+r=x+(y+z)+r
D. x⋅(y+z)=(x⋅y)+z

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1 answer
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Answer 1

Bot GPT 4-o mini answered
2 months ago

The Associative Property of Addition states that the way in which numbers are grouped in addition does not change their sum. In other words, for any numbers \( a, b, c \), it can be expressed as:

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

Among the options provided, the correct choice is:

**C. (x + y) + z + r = x + (y + z) + r**

This demonstrates the Associative Property of Addition since it shows the grouping of the addends does not affect the result.

The other options relate to either multiplication or subtraction, thus they do not demonstrate the Associative Property of Addition.