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An imaginary number is a square root of a negative number. Imaginary numbers have the form bi where b is a non-zero (real number) and i is the imaginary unit, defined as the square root of − 1.

if we define 'imaginary numbers' as 'complex numbers having a real part as 'zero' and a non-zero imaginary part'.. 0 doesn't fit in this description. But by, convention and for theoretical symmetry , we'll have to define 'real numbers' in pretty much the same way, and hence 0 would neither be a purely imaginary number or a purely real number.

Overall i would say that 0 is a real number. Imaginary numbers only involve square roots of negative numbers.

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โˆ™ 2010-12-02 07:27:53
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Q: Is the zero imaginary number
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Related questions

Is zero a imagery number?

Zero is a rational number, not imaginary.

Does dividing by zero result in an imaginary number?

No. Dividing by zero is undefined. It does not result in anything.

Is 0 an imaginary number?

This is an interesting question. Looking at complex numbers graphically, zero is at the intersection of the real and imaginary axis, so it is 0 + 0i. But if you square zero, you get zero, which is not a negative number (a pure imaginary, when squared will give a real negative number), so I'd have to say it is not imaginary.

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 are non complex numbers?

A non complex number is a number that does not have any imaginary component. An imaginary component is a non zero factor of the square root of -1, in other words, the imaginary number i.

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.

Is 5192716162 a real number?

Real numbers are the subset of complex numbers with the property that their imaginary part is zero. Since the above number has no imaginary part, it is a real number.

What best describes an imaginary number?

You can describe it as a number defined such that i squared = -1.You can also define the complex plane first, and then describe an imaginary number as a complex number in which the real part is zero.

Is -4 a imaginary number?

No, both positive and negative numbers are part of the so-called "real" numbers. The so-called "imaginary" numbers are outside the number line.Imagine the real numbers as a line from left to right, and the imaginary numbers a a separate line, from top to bottom. The place where they meet is zero. Positive is to the right of zero, negative to the left, imaginary numbers like +i or +3i to the top of zero, and negative imaginary numbes like -5i to the bottom of zero.

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)

What is the conjugate of a real number?

Since the imaginary portion of a real number is zero, the complex conjugate of a real number is the same number.

Are there more real numbers than imaginary numbers?

Both imaginary and real numbers are infinite .Answer:Any real number can be turned into an imaginary number by multiplying it by "i" ot "j" (the root of -1). Hence it would appear that the set of all real numbers would equal the set of all imaginary numbers. However 0 (zero) multiplied by anything still equals zero. This would mean that there is at least one number that cannot be converted to an imaginary number.

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