absolute value
The absolute value of a number is the distance between that number and zero on the number line
The absolute value of a number is the distance between that number and zero on the number line. It is always a positive value.
Mathematically, the absolute value of a real number x is denoted as |x|. It is defined as follows:
If x is positive or zero, then |x| is equal to x.
If x is negative, then |x| is equal to the opposite of x (i.e., the positive value of x without the negative sign).
For example:
– The absolute value of 5 is |5| = 5, as 5 is a positive number.
– The absolute value of -7 is |-7| = 7, as -7 is a negative number and we take its positive counterpart.
The absolute value function has various applications in mathematics, including solving equations, inequalities, and optimization problems. It is also useful in calculating distances and magnitudes in various scientific fields.
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