## Thinking Mathematically (6th Edition)

The addition property of equality states that in an equation which is equal if something is added in the left hand side of the equation then the same number has to be added in the right hand side too. This property maintains the equality of the right hand side and the left hand side of the equation. For example: Consider the equation: $x=y$ In the above equation, if 2 is added in the left hand side of the equation then 2 has to be added in the right hand side of the equation to maintain the equality. This is shown below, $x+2=y+2$ Thus, the addition property is explained in the above paragraph.