Understanding the Absolute Value of Numbers | Definition, Examples, and Graphing

|x|

In mathematics, the expression |x| denotes the absolute value of a real number x

In mathematics, the expression |x| denotes the absolute value of a real number x. The absolute value of a number is its numerical value without considering its sign. This means that if x is positive or zero, then |x| is equal to x. However, if x is negative, then |x| is equal to -x, effectively removing the negative sign.

For example:
– If x = 5, then |x| = 5.
– If x = -7, then |x| = |-7| = 7.

The absolute value function can also be graphed on a coordinate plane. It represents the distance between a point on the number line and the origin (which is 0).

To summarize, the absolute value of a number disregards its sign and gives the positive equivalent of that number. It is represented by the |x| notation.

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