In mathematics, the absolute value, also known as modulus, of a number is the value or magnitude of the number irrespective of its sign. The absolute value of a number is denoted as or, sometimes, as mod , and it is defined as the positive square root of . For example, the numbers -5 and 5 have the same absolute value:For a complex number, the absolute value is interpreted as its distance to the origin when plotted on an Argand diagram. It can be calculated (without plotting) by applying Pythagoras’ theorem. By definition, the absolute value of any complex number , where and are real numbers and is the square root of -1, is given by the expression:This expression represents the Euclidean distance between the complex number and the origin in the complex plane.