IXL - Absolute value in the complex plane (Precalculus practice)

Find the absolute value of the complex number.

Simplify all radicals in your answer.

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Find the absolute value of the complex number.

Simplify all radicals in your answer.

The absolute value or modulus of a complex number

𝑖

is the distance between the origin and the point

𝑖

in the complex plane.

It can be computed using the distance formula:

𝑖

The point (0, 9) represents the complex number

9𝑖

in the complex plane.

The distance between the origin (0, 0) and (0, 9) is 9, so the absolute value is 9.

You can also compute the absolute value of

9𝑖

from the distance formula.

9𝑖

Absolute value of a complex number

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