Praxis 5003 Practice Question
Which of the following operations are associative? Select ALL that apply.
Correct Answer: A,C
Rationale: Associative operations allow for grouping of numbers without affecting the result.
**Addition (A)** is associative since (a + b) + c = a + (b + c) for any numbers a, b, and c.
**Subtraction (B)** is not associative; for example, (5 - 3) - 2 ≠ 5 - (3 - 2).
**Multiplication (C)** is associative as (a × b) × c = a × (b × c) for all a, b, and c.
**Division (D)** fails the associative property; for instance, (8 ÷ 4) ÷ 2 ≠ 8 ÷ (4 ÷ 2).
**Exponentiation (E)** is also not associative; (2^3)^2 ≠ 2^(3^2).
Thus, only addition and multiplication are associative.
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