Question 1 • Algebra III A
Multiplying two rational expressions gives another rational expression, so the closure property in A is true. Multiplication is commutative, but division is not: changing the order of the factors can change the result, so B is true in this multiplication-and-division context. Division is also not associative, and regrouping factors in multiplication does not change the product, so C and D are false. These properties parallel the corresponding properties of rational numbers, making E true.
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