'e' is an imaginary number, multiplied by anything gives an imaginary result
No. The square root of negative one is an example of an imaginary (not real) number. Pi is irrational, but real.
i is the Imaginary Unit, equal to sqrt(-1). So i and any real number multiplied by i will all be imaginary numbers. Here are some: i, -i, 5i, -3i, i*pi, etc.
Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.
The set of real numbers are a subset of the set of complex numbers: imagine the complex plane with real numbers existing on the horizontal number line, and pure imaginary existing on the vertical axis. The entire plane (which includes both axes) is the set of complex numbers. So any real number (such as pi) will also be a complex number. But many people think of complex numbers as something that is "not a real number".
If I ask Answers™ "what is pi squared?" I find "It is approximately equal to 3.14 but in reality pi is an imaginary number that has no end." The answer also goes on to tell me that imaginary numbers cannot be multiplied by themselves. Now i must see what y'all have to say about imaginary numbers...
'e' is an imaginary number, multiplied by anything gives an imaginary result
No. The square root of negative one is an example of an imaginary (not real) number. Pi is irrational, but real.
i is the Imaginary Unit, equal to sqrt(-1). So i and any real number multiplied by i will all be imaginary numbers. Here are some: i, -i, 5i, -3i, i*pi, etc.
Pi is the mathematical formula for the circumference of a circle. It is approximately equal to 3.14 but in reality pi is a number that has no end. Pi is NOT an imaginary number. (Imaginary numbers are the square roots of negative numbers. Whoever previously wrote this entry is an overconfident idiot who wouldn't even be able to pass Algebra II).To square any number, you multiply that number by itself.So, approximately:Pi squared is 9.869604401Pies are usually circular but there is no reason why they cannot be made in square-shaped (not sqair!).
A negative real number is any non-imaginary number less than zero. Examples: -1 -2.435 -.0000000000000000111111 -341 -pi
Numbers like these ( pi, phi, imaginary number i ), are called IRRATIONAL NUMBERS.
You will never have an imaginary number when finding the area of a circle. Never. Imaginary numbers came to be when mathematicians were upset that a negative number couldn't have a square root. You will usually find them when using the quadratic formula.
Complex numbers whose polar representation is (r, theta) where 3*pi/2 < theta < 2*pi.
Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.
Euler's formula is important because it relates famous constants, such as pi, zero, Euler's number 'e', and an imaginary number 'i' in one equation. The formula is (e raised to the i times pi) plus 1 equals 0.
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.