FTCE Professional Education Practice Exam

Which of the following is NOT a type of mathematical property?

1. Commutative

2. Associative

3. Identitative

4. Distributive

The correct answer is: Identitative

The choice of identitative as the option that does not represent a type of mathematical property is accurate because it is not recognized as a standard property in mathematics. The commutative property, associativity, and distributive property are all well-established mathematical principles: - The commutative property refers to the ability to change the order of numbers in operations like addition and multiplication without changing the result (e.g., a + b = b + a). - The associative property deals with the grouping of numbers in operations, indicating that the way numbers are grouped does not affect their sum or product (e.g., (a + b) + c = a + (b + c)). - The distributive property connects addition and multiplication, showing how multiplication distributes over addition (e.g., a(b + c) = ab + ac). Identitative, however, is not recognized as a mathematical property and does not have any defined function or role within the framework of mathematical operations, making it the correct answer for this question.