Question

complete the expressions and select the missing property. write each answer as a number, a variable, or the product of a number and a variable. \\(6y \cdot 5\\) \\(= \square \cdot 6y\\) \\(= \square\\) multiply

Explanation:

Step1: Apply Commutative Property of Multiplication

The commutative property of multiplication states that \(a \cdot b = b \cdot a\). So for \(6y \cdot 5\), we can rewrite it as \(5 \cdot 6y\) (using the commutative property of multiplication).

Step2: Multiply the Coefficients

Now, multiply the coefficients \(5\) and \(6\) and keep the variable \(y\). So \(5 \cdot 6y=(5\times6)y = 30y\).

Answer:

First box: \(5\) (Property: Commutative Property of Multiplication)
Second box: \(30y\)