What numbers are there other than real numbers?

Question

What numbers are "un" real numbers?

Answer 1

Imaginary numbers, like the square root of -1.
It's called "i". The hierarchy of numbers is as follows.
1) Positive Integers
2) Negative Integers and zero
3) Rational numbers include 1) and 2) and
fractions and decimals which are exact or repeat.
4) Irrational numbers such as pi and "e". There is no
fractional expression or exact decimal or repeating
decimal to exactly express them
5) Imaginary numbers based on "i"
6) Complex numbers which are a composite of
real and imaginary(e.g., 1+2i)
Be aware that mathematics has borrowed English words
to apply to its own attributes and do not necessarily
mean to the world of math the same as to colloquial
speech. To elaborate, "positive" and "negative" don't
refer to the attitude of a number. "Rational" and "irrational"
do not imply anything about the logical coherency of a number. And "real" and "imaginary" don't imply reality or fantasy and "complex" doesn't mean complicated. They're just convenient labels.

Answer 2

Apart from real numbers remaining are un-real numbers.
Square root of ANY negative number is not a real number.


The real numbers are made up of all numbers that can be expressed as decimals, both rational and irrational. The symbol for the real numbers is R. The real numbers are used to represent measurements, and correspond to the points on the number line. As measurements are only made to a certain level of precision, there is always some error margin when using real numbers to represent them. This is often dealt with by giving an appropriate number of significant figures.

The real numbers are uniquely characterized by their mathematical properties: they are the only complete ordered field. They are not, however, an algebraically closed field.

Answer 3

There are no infinitesimals among the standard real numbers. But we could imagine that, with a sufficiently powerful microscope, we might discover some additional "nonstandard" numbers that we had not noticed before. Nestled around each standard real number r, infinitely close to it, are infinitely many new nonstandard numbers. (Then r is the standard part of any of those new numbers.) In particular, nestled around 0 are the infinitesimals. We can also get some other nonstandard numbers by taking the reciprocals of the infinitesimals; those numbers are infinitely large. The collection of all the numbers -- both "standard" and "new", together -- is an ordered field. Its ordering is the same as the ordering of the set of rational functions.

Answer 4

The "unreal numbers" would be "complex numbers". The square root of -1 is the imaginary number, i. However, these complex numbers are actually sort of made up of real numbers.

Complex numbers are of the form (a + bi) where a and b are real numbers and i is imaginary.

If you have a number:
a + bi
Then the a is called the REAL PART, while b is called the IMAGINARY PART.

Good luck =)

Answer 5

Numbers based on the square root of -1 (indicated by "i"). These numbers are called irrational numbers. The real numbers can be extended with the addition of the imaginary number i, equal to square root of -1 . Numbers of the form x+iy, where and x and y are both real, are called complex numbers, which also form a field. Another extension which includes both the real numbers and the infinite ordinal numbers of Georg Cantor is the surreal numbers.

Answer 6

Hi. Actually the square root of ANY negative number is not a real number.

Answer 7

imaginary numbers denoted by i which is the root of -1. To show that imaginary numbers are relevant, consider the difference of two squares:
(a*a) - (b*b) = (a-b)(a+b)
hence
(4-i)(4+i) = (4*4) - (i*i)
= 16 - (-1) = 17

Answer 8

Real Numbers, Integers & Zero.

Answer 9

Yeah, the square root of anything negative is an unreal number. Think about it. A square root is a number that gets multiplied by itself. You can't multiply a number by itself and get anything negative - unless you use an unreal number (represented by #i, or something times the square root of one).

Answer 10

they are complex numbers which has got a real part and imaginary part. they are of the form a+ib where a and b are real and i is square root of -1.