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# Complex Numbers

"Complex" numbers share many properties with the real numbers. In fact, complex numbers include all the real numbers, so you know lots of them already. Such an overachiever.

# Complex Numbers Warmup

True or False:

For complex numbers $$a$$ and $$b$$,

$|a| + |b| = |a+b|.$

Evaluate

$i \times ( -i) .$

Note: $$i$$ is the imaginary unit, where $$i^2=-1$$.

For any complex number $$z$$, which of the following must be equal to

"the real part of the imaginary part of $$z$$"?

Which of the following is equal to

$\frac{ 1 + i } { 1 - i }?$

Are real numbers also complex numbers?

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