What is absolute value?

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Absolute value is a mathematical concept that measures the distance of a number from zero on a number line. It is denoted by two vertical bars (| |) around the number. The absolute value of a number is always positive or zero.

To calculate the absolute value of a number:

1. If the number is positive, the absolute value is the same as the original number. For example, the absolute value of 5 is 5.

2. If the number is negative, you change the sign to positive. For example, the absolute value of -5 is 5.

In equation form, the absolute value of a number 'x' can be defined as follows:

| x | = x, if x is greater than or equal to 0
| x | = -x, if x is less than 0

The absolute value function is used in various mathematical operations such as solving equations and inequalities, finding the distance between two numbers, and determining the magnitude of a quantity.