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What do you get if you raise a real number to a complex number?
You get a complex number unless the real number happens to be 0 or 1.
A number can be both real and complex?
Any real number is a complex number with an imaginary part equal to 0
What is a non-real complex?
A complex number x+iy is non-real if x=0 like 0+i13
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).
Can a number be real and complex?
Yes. If the number is like, for example, 3+0i, then you'll figure out that the number, though is written as a complex number, is actually a real number 'cause 0i=0 and 3+0=3 so you have both real and complex number. Every number is a complex number, no matter if it's imaginary or real or a combination of both (a+bi).
Is every complex number a real number?
A complex number z has two parts - a real part and an imaginary part - and is of the form:z := x + iywherex and y are real numbersi 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.yes
Can a complex number be a pure imaginary number?
Yes. And since Real numbers are a subset of complex numbers, a complex number can also be a pure real.Another AnswerYes, for example: (0 + j5) is a complex number, whose 'real' number is zero.
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.
Rational and irrational numbers are complex numbers?
Rational and irrational numbers are real numbers. A complex number is represented by a+bi where a and b are real numbers. Zero is a real number therefore any real number is also complex whenever b=0
What is the real part of the complex number -2i?
It is 0. The number is wholly imaginary.
Why doesn't every real number have a multiplicative inverse?
The only real (or complex) number which does not have a multiplicative inverse is 0. There is nothing you can multiply by 0 to get 1.
