RedCrab Math Tutorial

# Absolute Value of a Number

The absolute value of a real or complex number is its distance to zero. This absolute value or simply modulus is always a nonnegative real number.

## Absolute value of a real number

Simply put, you obtain the absolute value of a real number by omitting the sign. If real numbers are displayed on a number line, the negative numbers are to the left of the zero point and the positive numbers to the right of the zero point.
The absolute value of a real number is the distance from the zero point on the number line. The absolute value of a real number x is written as | x |, or as a function abs (x).
Example:

The absolute value of 3 is equal to 3

|3| = 3

The absolute value of -3 is equal to 3

|-3| = 3

The absolute value of 0 is equal to 0

|0| = 0

## Absolute value of a complex number

The representation of vectors of a complex number always results in a right-angled triangle consisting of the two catheters a and b and the hypotenuse z. The absolute value of a complex number corresponds to the length of the vector.
The value of a complex number z = a + bi is:
The figure below shows the graphical representation of the complex number 3 + 4i.

## Arithmetic

Integer and Real Numbers
Complex Numbers
Sets
Roots and Power
Percentage Calculation
Interest Calculation
Absolute Value of a Number
Euclidean division
Modulo - Remainder of a division
Vectors
Matrices

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