absolute value
y=|x|
Absolute value can be defined as the distance between a number and zero on the number line. It is represented by two vertical bars around the number, like |x|, where x is the number.
For example, the absolute value of 5 is 5 because it is 5 units away from zero on the number line. Similarly, the absolute value of -5 is also 5 because it is 5 units away from zero but in the opposite direction.
Some important properties of absolute value include:
1. The absolute value of any number is always non-negative.
2. The absolute value of zero is zero.
3. The absolute value of any number multiplied by -1 is the opposite of the number itself.
4. The triangle inequality: the absolute value of the sum of two numbers is less than or equal to the sum of their absolute values.
Absolute value is commonly used in mathematical equations and expressions, particularly in solving equations involving absolute values. It is also used in geometry to calculate distances between points.
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