Question

using the commutative property, fill in the blanks so that the two algebraic expressions are equivalent. (1 point)
(14)(7)(x) = (7)(□)(14)

Explanation:

Step1: Recall Commutative Property

The Commutative Property of Multiplication states that \(a \times b = b \times a\), and this can be extended to multiple factors (the order of multiplying numbers/variables can be changed without affecting the product). For the expression \((14)(7)(x)\) and \((7)(\square)(14)\), we need to match the factors.

Step2: Identify the Missing Factor

On the left - hand side, we have factors 14, 7, and \(x\). On the right - hand side, we have factors 7, \(\square\), and 14. By the Commutative Property, the missing factor (the one in the square) should be \(x\) because when we re - order the factors of \((14)(7)(x)\) to get \((7)(\square)(14)\), the variable part \(x\) must be in the middle (in the square) to maintain the equality of the products.

Answer:

\(x\)