Here is the list of **mathematical exercises on complex numbers available online for free**. Each corrected exercise is accompanied by indications, reminders of the course, and methodological advice, which allows you to practice independently.

Exercise example N°1701 :

Write in algebraic form the complex number Z = `(-4-5*i)/(2+3*i)`

complex numbers 12th Grade complex_number

The goal of this corrected exercise is to write a complex number in its algebraic form z=a+ib.

Exercise example N°1702 :

Compute the real part of the complex number Z = `(2-4*i)/(1+2*i)`

complex numbers 12th Grade real_part

To succeed in this exercise, you must know how to determine the real part of a complex expression.

Exercise example N°1703 :

Calculate the imaginary part of the complex number Z = `(1-3*i)/(5+i)`

complex numbers 12th Grade imaginary_part

The purpose of this exercise is to determine with the help of calculation, the imaginary part of a complex number.

Exercise example N°1704 :

Compute the conjugate of the complex number Z = `(5-2*i)/(1+i)`

complex numbers 12th Grade complex_conjugate

This exercise allows to implement the techniques of calculation of the conjugate of a complex number.

Exercise example N°1705 :

z = `-3+2i`

z' = `5-4i`

Compute `z*z'`.

complex numbers 12th Grade complex_number

The purpose of this exercise is to find the result of arithmetic operations (sum, difference, product) that involve complex numbers.

Exercise example N°1706 :

Compute the imaginary part of the complex number, Z = `-3+2*i`

complex numbers 12th Grade imaginary_part

The objective of this exercise is to find the imaginary part of a complex number from its algebraic form.

Exercise example N°1707 :

Compute the real part of the complex number, Z = `-5+7*i`

complex numbers 12th Grade real_part

The objective of this exercise is to find the real part of a complex number from its algebraic form.

Exercise example N°1708 :

Represent in the complex plane, the point of affix `4+5i`.

complex numbers 12th Grade

The purpose of this graphing exercise is to place in the plane the affix of a complex number.

The **complex numbers** topic is available for : 12th Grade