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.