Complex Numbers Operations with Complex Numbers What is the Imaginary Unit?

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Presentation transcript:

Complex Numbers Operations with Complex Numbers

What is the Imaginary Unit?

Try it!

What are imaginary and complex numbers? A complex number is a number composed of a real number and an imaginary number.

Examples of Complex Numbers A complex number is always written in standard form : a + bi, where a is the real part and bi is the imaginary part i 5 – 5i

Plotting Complex Numbers The x-axis is all the real numbers The y-axis is all the complex numbers.

Plotting Complex Numbers 4 + 2i -1 + i - 4i 3 6 – 3i

Adding and Subtracting Complex Numbers

Steps for Adding and Subtracting Complex Numbers Step 1: Identify and combine like terms Step 2: Perform stated operation

Absolute Value of a Complex Number Let’s try it! Find the absolute value of the complex number 3 + 4i.

Classwork Access on the OLC OR Complete on paper