Are there any numbers other than real numbers?

Answer 1

unreal (imaginary) numbers, such as i, which is the square root of negative one.

Answer 2

Several people have mentioned complex numbers. They are of the form a+bi -- where a and b are real numbers and i is the square root of minus one. The Real Numbers correspond with the points of a straight line. The complex numbers correspond with the points of a plane (dwo dimensional space). The complex numbers contain the real numbers.

There is another algebraic system called the Hamiltonian Quaternions which can be represented in four dimentional space. The typical number looks like:

a + bi + cj + dk

where a, b, c and d are real numbers and

i^2 = j^2 = k^2 = i*j*k = -1

Note that if c and d are equal to zero, you get the complex numbers.

if b, c, and d are zero, you get the real numbers.

Answer 3

Yes- imaginary numbers. It's kind of abstract, but it comes from taking the square root of negative numbers. You know that when you multiply any two negative numbers together, you get a positive number, right? And the same with two positive numbers- you multiply them together and get a positive number, right? So how can you take the square root of a negative number?

Mathematicians created the number i, which is usually written in italics, and they defined it so that i * i = (-1) Thus, any time you take the square root of a negative number, the answer is i times the square root of the opposite of that number.

Examples:
the squareroot of 25 = 5
the squareroot of -25 = 5i
the squareroot of 4 = 2
the squareroot of -4 = 2i

Get it?

You can manipulate imaginary numbers just like regular numbers- for instance, adding them, squaring them, multiplying them like polynomials. Just treat i like a variable, and then remember that i^2 = -1. Here's an example

(1+2i)^2 = 1 + 2*1*2i + (-4)= 4i -3. So the squareroot of 4i - 3 is 1+2i.

Answer 4

Yes there are imaginary numbers wich are derived from the square root of a Negative Number, since a negative number can not have a square root since a negative x a Negative= a positive. Ex sqrt of -1 equals imaginary 1 or 1i

Answer 5

imaginary numbers (squareroot of 2 or 3, etc.) and i'm sure there are many other kinds other than real. But even real numbers are not necessarily real. If I asked "point to three" and you show me three fingers, the number doesn't exist in "Reality" but in our minds.

Answer 6

i imaginary numbers also look into calculus and trigonometry there are all sorts of numbers.

Pie for instance is a number ending number but is rounded. Also numbers are based on science and we are unable to quanitate 75% to 80% of the galaxy or universe they are calling that dark energy. If we ever understand that we will have all kinds of new numbers.

pretty cool is it not.

Answer 7

In calculus there are imaginary numbers such as the square root of -1

Answer 8

Yes. an example would be the square root of negative one, referred to as i. you cannot find the square root of a negative number, but it makes equations work out prettily, so mathematicians use i anyway. i is the only real imaginary number (i and -i, that is), so the plural into numbers is from a real number multiplied or divided by i.

Answer 9

Yes, Complex Numbers which are the superset of real numbers

Answer 10

There are the same number of "imaginary" numbers as there are "real numbers".

Answer 11

Of the different numerical sets, a comparison of the set size:

( natural < whole < rational < irrational ) = real ~= imaginary

...where = means is equal to and ~= is equal in set size.