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Can a number be both real and imaginary?

Updated: 9/17/2019
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Q: Can a number be both real and imaginary?
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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.


Can a number be both complex and imaginary?

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.


A number can be both real and complex?

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


Is the square root of -100 rational?

The square root of 100 is rational since it is not repeating.


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).


Which number belongs to the set of imaginary numbers 2?

2 does belong to the set of imaginary numbers. Any real number is also imaginary. Imaginary numbers are the set of all numbers that can be expressed as a +b*i where "i" is the square root of negative one and "a" and "b" are both real numbers.


Can you divide an imaginary number by a real number?

an imaginary number is imaginary so no (i guess) this answer kind of sucks


Is -17 a real number?

A real number is a number that does not have an imaginary component. There is no imaginary component in -17, so it is a real number.


In a short explanation what is the real number system?

Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers. The Real Numbers did not have a name before Imaginary Numbers were thought of. They got called "Real" because they were not Imaginary.


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.


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.