Question

Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1–2 sentences, explain your result.

Expression 1: y⋅3x

Answer 1

The Commutative Property states that the order in which we add or multiply numbers does not affect the sum or product. For Expression 1, \( y \cdot 3x \), we can rearrange the terms as \( 3x \cdot y \) without changing the outcome, demonstrating that the two expressions are equivalent.

**Result Explanation:** Since we can rearrange the factors in the expression \( y \cdot 3x \) to get \( 3x \cdot y \), both expressions represent the same product due to the Commutative Property of multiplication.