FTCE General Knowledge Math Practice Test 2026 – All-in-One Guide to Ensure Exam Success!

Question: 1 / 400

Which of the following are types of properties related to real number operations?

Associative, Transitive, Reflexive, Symmetric

Commutative, Associative, Identity, Inverse, Distributive

The correct response highlights the fundamental properties of operations involving real numbers. These properties—Commutative, Associative, Identity, Inverse, and Distributive—each play a crucial role in mathematical operations.

- The Commutative Property states that the order of addition or multiplication does not affect the result (e.g., \( a + b = b + a \)).

- The Associative Property demonstrates that the grouping of numbers does not influence their sum or product (e.g., \( (a + b) + c = a + (b + c) \)).

- The Identity Property indicates that adding zero or multiplying by one does not change the value of a number (e.g., \( a + 0 = a \) and \( a \times 1 = a \)).

- The Inverse Property shows that every number has an opposite that yields zero when added or a reciprocal that yields one when multiplied (e.g., \( a + (-a) = 0 \) and \( a \times \frac{1}{a} = 1 \)).

- The Distributive Property connects addition and multiplication, stating that \( a(b + c) = ab + ac \).

These properties are essential for simplifying expressions, solving

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Inverse, Composite, Transitive, Symmetric

Identity, Whole, Natural, Rational

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