Question

In Exercises 11-18, State the property of real numbers being used.

$2x\left(3+y\right)=\left(3+y\right)2x$

Short answer

Property of real number used here is commutative property of multiplication.

Step-by-step solution

Step 1. Definition of the commutative property of multiplication.

The commutative property is the property in which when the two numbers are multiplied, the order of these numbers does not affect the answer.

Step 2. Finding the property used.

$\begin{array}{l}2x\left(3+y\right)=\left(3+y\right)2x\\ 2x\left(3\right)+2x\left(y\right)=3\left(2x\right)+y\left(2x\right)\\ 6x+2xy=6x+2xy\end{array}$

Here, the order of the numbers doesn’t affect the answer

Step 3. Name of the property used.

Therefore, the property used here is the commutative property of multiplication.