FurtherMaths2020
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is this true of complex number z = a + bi

Re(z) = a

Im(z) = b???
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RDKGames
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(Original post by FurtherMaths2020)
is this true of complex number z = a + bi

Re(z) = a

Im(z) = b???
Yep.
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NotNotBatman
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yes, don't get confused thinking
im(z) = bi.

Do you know argand diagrams?
Think about the real and imaginary part as the displacement in the real axis and imaginary axis. Displacement is a real number, so the imaginary part is a real number.

So we have real numbers which are complex numbers with a 0 imaginary part. I'd reccomend avoiding the term "imaginary numbers" and use the term "pure imaginary" when denoting a complex number with a 0 real part.

so terms to learn
Complex number ( a+bi) - made up of the real part (a) and the imaginary part (b) where a and b are real numbers.

real number - a complex number with 0 imaginary part.

pure imaginary number -
a complex number with 0 real part.
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