The Importance Of The Absolute Value In Mathematics And Real-Life Applications

Absolute Value

F(x)= |x|D: all realsR: y >/= 0X-int.: (0,0)Y-int.: (0,0)

Absolute value is a mathematical concept that represents the distance of a number from zero on the number line. It is always a positive number or zero.

The absolute value of a number is denoted by two vertical bars, which are placed on each side of the number. For example, if we take the absolute value of -5, then it will be written as |-5|, and its value will be 5.

To put it more generally, the absolute value of any real number x can be defined as follows:

| x | = x, if x is positive or zero
| x | = -x, if x is negative

For instance:
| -3 | = 3
| 0 | = 0
| 2.5 | = 2.5

Absolute value is a very useful concept in various mathematical operations such as solving equations, simplifying expressions, and measuring distances. It is also used in real-life applications, such as measuring the magnitude of an earthquake or the distance between two cities on a map.

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