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A complex number has a real part and a (purely) imaginary part, So imaginary numbers are a subset of complex numbers. But the converse is not true. A real number is also a member of the complex domain but it is not an imaginary number.

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โˆ™ 2009-09-29 11:25:09
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Q: Can a number be both complex and imaginary?
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Are imaginary and complex numbers the same?

No. A complex number is a number that has both a real part and an imaginary part. Technically, a pure imaginary number ... which has no real part ... is not a complex number.

Can a no real number be a pure imaginary number?

If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.

A number can be both real and complex?

Any real number is a complex number with an imaginary part equal to 0

Is 3i an irrational number?

The imaginary part of the complex number โ€“5 + 3i is

What are Complex and imaginary numbers?

A complex number is like x+iy = 3+i6 and "i" is the imaginary unit. A formula like w=(z^3-1)/(z^3-i) when graphed, makes interesting art. See the below link for a picture.

What is an unreal in math?

The only thing I can think of that you might mean is an imaginary or complex number. Since there is no solution to √(-1) mathematicians labeled it as i which is the imaginary number, and any number that includes purely i is also imaginary. Complex numbers are a mix of both real and imaginary numbers. for example 3 is real, 5i is imaginary and 3+5i is complex. Hopefully this answers what you meant.

A complex number might not be a pure imaginary number?

True. Complex numbers have a real part and an imaginary part. If either one of these is zero, the complex number will be a pure real or a pure imaginary.

What is the difference between imaginary numbers and complex numbers?

No difference. The set of complex numbers includes the set of imaginary numbers.

What are the characteristics of a complex number?

A complex number must have a real and imaginary part. It can be in the form: a + bi i is an imaginary number and a and b are real numbers

Why are complex numbers imaginary?

An imaginary number has the form b*i, where b is any real number, and i is the imaginary unit number sqrt(-1). A complex number is in the form a + b*i, where a and b are any real number. Complex numbers are called complex, because they combine numbers from the real domain and the imaginary domain.I thought the Wikipedia article was very good. Also, has a video about complex and imaginary numbers.

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 every real number a complex number?

A complex number is a number of the form a + bi, where a and b are real numbers and i is the principal square root of -1. In the special case where b=0, a+0i=a. Hence every real number is also a complex number. And in the special case where a=0, we call those numbers pure imaginary numbers. Note that 0=0+0i, therefore 0 is both a real number and a pure imaginary number. Do not confuse the complex numbers with the pure imaginary numbers. Every real number is a complex number and every pure imaginary number is a complex number also.

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