Question

Name the property illustrated by the following equation.

$5x+0=5x$

Short answer

The property is identity property.

Step-by-step solution

Step 1- Define the identity property.

The identity property of addition is that when a number is added to zero, the result is the number itself

Mathematically, the property is represented as

$a+0=a$

Step 2- Step description.

Consider the equation $5x+0=5x$.

Simplify the equation as follows:

$\begin{array}{c}5x+0=5x\\ 5x=5x\end{array}$

Step 3- Step description.

Since when a number is added to zero, the result is the number itself thus the property is identity property of addition.

Therefore, the property is identity property of addition.