# How to Use The Complex Number Calculator

You can use this online scientific calculator to calculate complex numbers in any form. Type in complex numbers, using i as the imaginary unit.

You can also use j instead of i. In that case, it is recommended to select the option provided (go to > Use j for imaginary unit. In that case, the results are also displayed using j).

The complex number calculator displays the result as you type. You can change this behaviour (go to and uncheck calculate as you type). You can use * or × for multiplication of complex numbers and / or ÷ for division of complex numbers.

You can also input numbers in scientific or engineering notations, e.g., 1E6 or 1.2E-12, where the exponent is an integer. For any non-integer exponent such as decimal numbers, complex number or expressions, you must use parentheses, i.e., 2E(2.3) or 1.2E(1+2i).

Note: The function E() is defined as E(x) = 10^x. So E(2) is 100, which is the same as 1E2 (and not E2, which must be preceded by a literal real number).

The calculator optionally displays the result in Fixed, Scientific and Engineering notations. In default notation the calculator uses other notations to display the results of calculations depending on how big or small they are.

By checking Show work the calculator displays the intermediate calculations from start to end.

Also by checking Convert complex number results to other forms the Complex Number Calculator displays the results in standard form a+bi and optionally converts the result of expressions to the following forms using the Euler's formula:

• modular: r(a/r + b/r i)
• cis: r(cos(θ)+ i sin(θ))
• cis (angular): rcis(θ)
• polar (angular): r∠(θ)
• exponential: re
where, r = √(a2 + b2), module or length or absolute value of a + bi, and θ = arctan(b/a), argument of a + bi.

Click to view error massage, if any.