Question

which property does this demonstrate?
commutative property
associative property
identity property

Explanation:

To determine the property, we analyze each:

• Commutative Property: States that the order of numbers in addition or multiplication can be changed without changing the result (e.g., \(a + b = b + a\), \(a \times b = b \times a\)).
• Associative Property: States that the grouping of numbers in addition or multiplication can be changed without changing the result (e.g., \((a + b) + c = a + (b + c)\), \((a \times b) \times c = a \times (b \times c)\)).
• Identity Property: Involves an identity element (0 for addition, 1 for multiplication) such that \(a + 0 = a\) or \(a \times 1 = a\).

Since the question is about identifying the property demonstrated (though the specific example is missing, the options are about these properties), and if the context (e.g., an example like \(3 + 5 = 5 + 3\)) shows order change, it’s Commutative. If grouping (e.g., \((2 + 3) + 4 = 2 + (3 + 4)\)) changes, it’s Associative. If involving identity (e.g., \(7 + 0 = 7\)), it’s Identity. Assuming the example (not shown) relates to order (common for such questions), the Commutative Property is a likely candidate.

Answer:

A. Commutative Property