Algebra

Complex Numbers

Complex Numbers Warmup

         

True or False:

For complex numbers aa and bb,

a×b=a×b. |a| \times |b| = | a \times b |.

Evaluate

i×(i). i \times ( -i) .

Note: ii is the imaginary unit, where i2=1i^2=-1.

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

"the real part of the imaginary part of zz"?

Which of the following is equal to

1+i1i? \frac{ 1 + i } { 1 - i }?

Are real numbers also complex numbers?

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