## absolute value

### The absolute value of a number is its distance from zero on the number line, regardless of its sign

The absolute value of a number is its distance from zero on the number line, regardless of its sign. It is denoted by two vertical bars on either side of the number.

For example, the absolute value of 5 is 5, because it is 5 units away from zero in the positive direction. Similarly, the absolute value of -5 is also 5, because it is 5 units away from zero in the negative direction.

Mathematically, the absolute value of a number “x” can be defined using the following notation: |x|.

Here are some properties of absolute value:

1. The absolute value of a positive number is the number itself. For example, |6| = 6.

2. The absolute value of zero is 0, because it is exactly on zero on the number line. |0| = 0.

3. The absolute value of a negative number is the positive value of that number. For example, |-8| = 8.

4. The absolute value function is always non-negative, meaning it will never result in a negative value.

Absolute value can be useful in various mathematical operations and applications, such as solving inequalities, calculating distances, and working with real numbers.

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