Arithmetic operations on complex numbers

  • Addition and subtraction of complex numbers are performed by adding or subtracting their real and imaginary parts separately.
  • Multiplication of complex numbers is performed by using the distributive property and the fact that i² = -1.
  • Division of complex numbers is performed by multiplying the numerator and denominator by the conjugate of the denominator, and then simplifying.
  • The absolute value or modulus of a complex number is obtained by taking the square root of the sum of the squares of its real and imaginary parts.
  • The complex conjugate of a complex number is obtained by changing the sign of its imaginary part.