Question Which of the following correctly demonstrates the Commutative Property of Addition?(1 point) Responses 5+8=4+9 5 plus 8 equals 4 plus 9 z9⋅5=5z9 z superscript 9 baseline times 5 equals 5 z superscript 9 baseline 5z9+8a=8a+5z9 5 z superscript 9 baseline plus 8 a equals 8 a plus 5 z superscript 9 baseline 0+5z9=5z9

Answer 1

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

Let's evaluate the options:

1. 5 + 8 = 4 + 9 - This is not demonstrating the commutative property; it's an equation that may or may not be true.

2. \( 9 \cdot 5 = 5 \cdot 9 \) - This demonstrates the Commutative Property of Multiplication, not addition.

3. \( 5^9 + 8a = 8a + 5^9 \) - This correctly demonstrates the Commutative Property of Addition, as it shows that changing the order of the addends gives the same sum.

4. \( 0 + 5^9 = 5^9 \) - This is more of an identity property (any number plus zero equals that number), not a demonstration of the commutative property.

The correct response demonstrating the Commutative Property of Addition is:

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