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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.
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 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)
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 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 the square root of -100 rational?
The square root of 100 is rational since it is not repeating.
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.
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.
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.
What are complex or imaginary numbers?
An imaginary number is a number, which when squared, gives a negative real number. Any positive or negative real number, when squared, will give a positive real number. Imaginary numbers were originally conceived (around the 1500's) to provide solutions to equations which required there be a solution to the square root of a negative real number. Originally, that was the only purpose that they served, so they were given the term imaginary. The imaginary numbers were shown to be graphically at a 90° angle to real numbers. Complex numbers are the combination of real and imaginary numbers, and can be plotted graphically on a complex plane, just like you would plot x and y coordinates on a regular 2-dimensional plane.Through the work of Euler in the 1700's and others, a relationship between imaginary numbers and the behavior of waves and oscillating motion was worked out. See related link for some interesting information about imaginary and complex numbers.
What does i squared mean in mathematices?
By definition, i^2=-1 Which also means: i=sqrt(-1) This may seem odd that such a number can be, since you may notice that all normal numbers, when squared, result in a positive number (e.g. (-3)^2=9, 0^2=0, 2^2=4). These "normal" numbers are called real numbers. Numbers that result in a negative number when squared are called "imaginary numbers". They don't lie on the real number line. i is the imaginary unit, just like 1 is the real unit. Don't let the names confuse you, imaginary numbers can be just as real and useful as real numbers, that's just a name that stuck with them.
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 negative number be a square?
the square is positive always.Except in the case of an Imaginary number. An imaginary number is a number that gives a negative result when squared,where i= √-1
Can you divide an imaginary number by a real number?
an imaginary number is imaginary so no (i guess) this answer kind of sucks
What are 10 complex numbers with the absolute value of 5?
Use the Pythagorean theorem. 5, -5, 5i, and -5i will work, as well as any combination of a real and imaginary number such that (real part) squared + (imaginary part) squared = 25, for example, 4 + 3i, 3 + 4i, 4 - 3i, etc.
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.
Is 5 squared a real number?
Yes, Any real number squared is a real number. In this case that number is 25.
