Previously we have discussed about factoring perfect square trinomials worksheet and In today's session we are going to discuss about Rational and irrational numbers which comes under board of andhra pradesh intermediate, They are the different type of number representation in the number system of mathematics. These are the number representations which help in solving the problem related to math. If we define the rational numbers then we can say that rational numbers are those numbers which represent the integer value in the form of numerator and denominator. For example, x / y, here x is numerator and y indicates the denominator which should be greater then 0.
In the same sense we can say that irrational numbers are those numbers which can’t be represented in the form of numerator and denominator format. In the general sense irrational numbers in the number system can be considered as real numbers but they can’t be shown in fractional format. The fundamental properties of irrational number is that they can’t be represented in ratio form.Through this topic we are going to discuss about the Properties of Irrational Numbers. Let's explain the concept to you with the help of some examples.
The famous example of irrational numbers is ∏. Generally this symbol is known as ‘ pi ‘. In the mathematics pi value is approximated as 22 / 7. It means ∏ = 3.141592653589 and so on. In the value of pi , we can see that the value is not accurate or they can’t be represented in standard fractional format. Thus, one of the Properties of Irrational Numbers is that the cannot be represented in fractional form. (Know more about Irrational Numbers in broad manner, here,)
Another famous example of irrational numbers are √2. In the √2 there actual value is 1.41421356 and so on. As like the another fractional number √2 can’t be represented using ratio property of two numbers and they can’t be represented in any simple faction. That’s why this is irrational number.
Even the number e (symbol of Euler number ) can’t be represented in the ratio form and in simpler fraction from.