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# Absolute Value of a Complex Number

## How to calculate a complex number's absolute value

The absolute value of a real number is its distance from 0 on the number line. A complex number's absolute value is also a measure of its distance from zero. However, instead of measuring this distance on the number line, a complex number's absolute value is measured from zero on the complex number plane.
In general
Illustrated Example

To find the absolute value of the complex number, 3 + 4i, we find the distance from zero to that number on the plane.
Practice Problems

Calculate |5+ 12i|

Problem 1) What is $$| 6 + 8i |$$ ?

Problem 2) calculate the value of $$|3 + 2i|$$
Problem 3) Calculate the value of $$|3 - 2i|$$
Problem 4) calculate the value of $$| -5i - 3|$$
Problem 5) What is $$| -x - ci|$$