Question

Determine which property of real numbers justifies the statement. 8(9x)=(8⋅9)x Associative Property of Addition Associative Property of Multiplication Commutative Property of Addition Commutative Property of Multiplication Distributive Property

Answer 1

The property that justifies the statement 8(9x)=(8⋅9)x is Commutative Property of Multiplication.

The Commutative Property of Multiplication states that changing the order of factors in a product does not affect the result. In this case, we can apply the Commutative Property of Multiplication to rewrite the left side of the equation as (9x)(8), and this is equal to (8*9)x, which matches the right side of the equation. Therefore, the Commutative Property of Multiplication justifies the statement.

Explanation: