Imaginary Numbers Calculator

The Imaginary Numbers Calculator allows users to perform addition, subtraction, multiplication, and division on complex numbers and provides the resulting real and imaginary parts, magnitude, and phase (in radians).

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Using the Imaginary Numbers Calculator

This guide will help you navigate through the Imaginary Numbers Calculator by taking you step-by-step through the input and calculation process.

Step 1: Input the First Complex Number

Begin by entering the details of the first complex number.

  • Real Part (First Number): Locate the field labeled as ‘Real Part (First Number)’. Enter the real part of your first complex number in this field. This input is required.
  • Imaginary Part (First Number): Locate the field labeled as ‘Imaginary Part (First Number)’. Enter the imaginary part of your first complex number in this field. This input is also required.

Step 2: Select the Operation

Next, determine the mathematical operation you wish to perform between the two complex numbers. The available operations are:

  • Addition (addition): Select this to add the two complex numbers.
  • Subtraction (subtract): Select this to subtract the second complex number from the first.
  • Multiplication (multiply): Choose this to multiply the complex numbers.
  • Division (divide): Select this if you want to divide the first complex number by the second.

Please ensure you select one operation as this input is mandatory.

Step 3: Input the Second Complex Number

Enter the components of the second complex number once you’ve selected the operation.

  • Real Part (Second Number): Enter the real part of your second complex number. This field is required.
  • Imaginary Part (Second Number): Enter the imaginary part of your second complex number. This field, too, is required.

Step 4: Review the Results

After entering the data and choosing the operation, the calculator will automatically compute and display the results. Below are the results you can expect:

  • Real Part Result: This will show the real part of the calculated result, formatted to three decimal places.
  • Imaginary Part Result: The imaginary part of the result will also be displayed, complete with an ‘i’ suffix for clarification, and similarly formatted to three decimal places.
  • Magnitude: The calculator computes the magnitude of the final complex number, formatted to three decimal places.
  • Phase (in radians): The phase of the result is displayed in radians, formatted to three decimal places, and an ‘rad’ suffix for clarity.

With these steps, you should be well-equipped to use the Imaginary Numbers Calculator effectively for any desired complex number computation.