Absolute Value

What is absolute value?

Absolute value or modulus in mathematics is the value or magnitude of a number irrespective of its sign.

What is the absolute value of a number n ?

The absolute value of a number n is written as | n |. The absolute value of the number n is also sometimes written as mod n.

Definition of absolute value

The absolute value of a number n is defined as the positive square root of n² .

Example of the absolute value of a number

The numbers -7 and 7 have the same absolute value. In another word,

| 7 | = | -7 | = 7

Absolute value of a complex number

For a complex number, the absolute value of a complex number is the distance to the origin when it is plotted on an argand diagram and can be calculated using the Pythagorean Theorem.

The definition of the absolute value of any complex number a + ib (where a and b are real numbers and i is the square root of -1) is given by: