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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.

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โˆ™ 2015-05-29 23:15:19
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โˆ™ 2010-04-16 20:31:01

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Complex numbers can have a real part as well as an imaginary part.

For example , 1 + i is a complex number by not a pure imaginary.

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Q: Is Every complex number is a pure imaginary number?
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Is every complex number a pure imaginary number?

No. For example the number 1+i. Pure imaginary complex numbers are of the form 0 + a*i, where a is a non-zero real number.


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.


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.


Can a complex number can't be a pure imaginary number?

A complex number can be a pure imaginary, or a pure real number, or a combination of the two. The form for a complex number is a + bi, where a & b can be any real numbers (so if a = 0, then the number is pure imaginary; and if b=0, then it is a real number).


Is the difference of a complex number and its conjugate a real imaginary or pure imaginary number?

It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).


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.


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.


What is the definition of a pure imaginary number?

A pure imaginary number is a complex number that has 0 for its real part, such as 0+7i.


Is one a real complex pure imaginary or nonreal complex number?

One is a complex number and a real number.


Can a complex number be imaginary?

Yes, imaginary numbers are a subset of complex numbers.


What are pure imaginary numbers?

complex numbers with no real partif any complex number z can be written a + i bthen pure imaginary numbers have a=0 and b not equal to 0


Can a number be imaginary but not pure imaginary?

Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.

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