The absolute value of a number, expressed as is the non-negative value of Therefore, the absolute value of a negative number changes its sign whereas the absolute value of a non-negative number is equal to the number itself. A compact way to write the absolute value of a real number is by using a curly bracket. The absolute value of a number can be thought of as the distance between and on the number line. Since the absolute value of and are equal, these numbers are also the same distance from
There are several properties and identities that can be useful when simplifying expressions or solving equations including absolute values. For real values of and these relationships are true.