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A complex number z has two parts - a real part and an imaginary part - and is of the form:
z := x + iy
where
x and y are real numbers
i represents √-1, that is i2 = -1.
("x" is the real part, "iy" is the imaginary part)
As x and y are real numbers, they can be any real number including 0.
If x = 0, the resulting complex number z is of the form "iy" and is totally imaginary;
if y = 0, the resulting complex number z is of the form "x" and is totally real.
Thus real numbers are a subset of complex numbers, that is every real number is a complex number, but not every complex number is a real number.
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Is every complex nberan imaginary number?
No. A complex number consists of a real part and a imaginary part. If the real part equals zero, there is only the imaginary left and you could therefor argue that it is an imaginary number (or else it would still be a complex number -with a real part=0)
Is one a real complex pure imaginary or nonreal complex number?
One is a complex number and a real number.
What complex number is a number of the form a plus bi where?
"a + bi" is a common way to write a complex number. Here, "a" and "b" are real numbers.Another common way to write a complex number is in polar coordinates - basically specifying the distance from zero, and an angle.
Is Every complex number is a pure imaginary number?
No. All Complex Numbers are of the form a + bi where a and b are Real Numbers and i is the square root of -1. So only ones where a = 0 are pure Imaginary Numbers.
What is the graphical relationship between a conjugate number and a complex number?
Graphically, the conjugate of a complex number is its reflection on the real axis.
