Modulus and Polar Form of Complex Numbers

Understanding how to calculate the modulus and rewrite complex numbers in polar form is a foundational skill in working with complex numbers in advanced mathematics.

Take the following steps to find the modulus of the given number.

First Step - Identify Real and Imaginary Parts: $z = a + bi$
Second Step - Use the relation: $|z| = \sqrt{a^2 + b^2}$
Third Step - Simplify the square root

Good luck! Get all questions correct to pass this lesson.

Find Modulus of the complex number

$-10 + 6i$

Find Modulus of the complex number

$-15i$

Find Modulus of the complex number

$-3 - 12i$

Find Modulus of the complex number

$1 - 15i$

End of Lesson

Modulus and Polar Form of Complex Numbers

Understanding how to calculate the modulus and rewrite complex numbers in polar form is a foundational skill in working with complex numbers in advanced mathematics.

Take the following steps to find the modulus of the given number.

First Step - Identify Real and Imaginary Parts:

z = a + bi

Second Step - Use the relation:

|z| = \sqrt{a^2 + b^2}

Third Step - Simplify the square root

Good luck! Get all questions correct to pass this lesson.

Find Modulus of the complex number

$-10 + 6i$

Find Modulus of the complex number

$-15i$

Find Modulus of the complex number

$-3 - 12i$

Find Modulus of the complex number

$1 - 15i$