# Real Numbers Class 9 and 10 – Why They Are So Important?

Real numbers can only be defined as their union of the irrational and real numbers. They are denoted by the signer and are symmetric around a unit circle. All the real numbers, fraction and decimals come under this category. The real number representation is derived by taking the real number a b, c and turning it into a power which is also a real number, namely e, f, g, k and h. In other words, when a b c becomes a power, the product of its radii is a real number.

There are a great many natural numbers which can be rationalized into real numbers and even these numbers can be converted into rational numbers. A b, c can also be rationalized as a real number if the following conditions are satisfied: (I) the sum of the radii a and b does not diminish to zero; (ii) the elements a and c are not symmetric around a unit circle. Moreover, all real numbers can be further transformed into rational numbers by adding another set of real numbers such as e, f, g, k, h and the so-called Fibonacci numbers, whose values are the product of their respective roots. Let’s take an example of the prime numbers, which are Fibonacci numbers:

First of all, let us see how Fibonacci numbers are formed. Fibonacci numbers form a number line, which has no beginning and no end. It contains two parallel lines, representing prime numbers and zero. Any prime number can be divided into two parts, namely an x and ay. The first part, the x, represents the numbers 1 to nine. This shows that the first component of any prime number can be divided into two parts, which can then be further subdivided into a positive x and a negative x.

Now let’s see how the real numbers definition can be applied to a more general real number concept. Any real number h is unique if for some reason there exists a unique way to calculate the solutions of any real number a given equation. Therefore, there exists a unique real number system, which will allow us to calculate the solutions of any equation. This is what is called the identity element. For example, the real numbers definition of the square root of a positive number x is x = h(x – a).

We saw above that the irrational numbers do not have any identity. In mathematics this can be illustrated by an example using the real numbers. If you take the real primes and put them together, you get the following (these are not all of them, by the way): P(n) = P(I) P(o) P(r) In other words, P(n) can be thought of as a mathematical “identity” because it is just as easy to find as P(I), and it just as easily lose its value as P(o), or vice-versa. In other words, in order to find the solutions to real numbers you need to know the identity factor.

On the other hand, the real numbers have no such identity, so it is quite possible for one set of real numbers to have many values, and for the other set of real numbers to have none. We can see this by taking the prime numbers and finding the largest prime number that cannot be repeated in the range of prime numbers e.g., P(n) = 3.5 trillion. In other words, a “prinomial” number system is one in which each number has a unique value between it and every other number. One example of such a number system is the Fibonacci calculator, which can solve almost any practical mathematical problem.

Now let’s see how we can apply this knowledge of the real and irrational numbers to our real world problems. Say, for example, we want to find out what the value of the real number, say, 100 is if we plug it into an irrational number generator. The value of 100 would then be the maximum possible value of whatever the irrational number generator chooses. Thus, by learning how to calculate irrational numbers using real numbers, we can learn how to solve practical problems that we face.

Let’s say, for instance, that we want to find the largest prime number that can’t be repeated in the natural range. We can plug the real number into the irrational generator and see if there are numbers larger than 100, which can’t be reproduced. This is the essence of the real number calculators. We can solve these practical problems using real numbers and by mastering the techniques of arithmetic with irrationals, by mastering these techniques we can improve all our other skills – so our future career could be better. This is what makes real numbers class 9 and 10 so essential, and they are indeed the key to real-world problems.