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

Responses

A) 5z^9+8a=8a+5z^9
5 z superscript 9 baseline plus 8 a equals 8 a plus 5 z superscript 9 baseline

B) z^9⋅5=5z^9
z superscript 9 baseline times 5 equals 5 z superscript 9 baseline

C) 5+8=4+9
5 plus 8 equals 4 plus 9

D) 0+5z^9=5z^9
0 plus 5 z superscript 9 baseline equals 5 z superscript 9 baseline

1 answer

The Commutative Property of Addition states that changing the order of the addends does not change their sum. This means that for any numbers \( a \) and \( b \), \( a + b = b + a \).

Given this explanation, the correct response that demonstrates the Commutative Property of Addition is:

A) \( 5z^9 + 8a = 8a + 5z^9 \)

This option shows that the sum remains the same regardless of the order of the addends.