What is rational number

What is  rational number?  Formula, property, example.

 Table of contents
1. What is rational number?  (define rational number)
2. Examples of rational numbers
3. Positive and negative rational numbers
. Positive Rational Numbers:
. Negative Rational Numbers:
4. Property of rational number
5. Examples:
6. Formula of rational number

* Before that we have to know what is an irrational number?

1. What is  rational number?  (define rational number)

 Rational numbers are numbers that we can write as p / q.  Or we can say that all the numbers which can be written as numerator and denominator are called rational numbers.  Here both the numerator and every number are integers and every rational number cannot be equal to zero.

 The rational number has p - numerator and q - denominator.


2. Examples of rational numbers

 -3/2, 2/3, 2/5, 5/7 etc.  As we can see the numbers in all these examples are in the form of p / q and are in the numerator and the whole integers, so all these examples will fall under rational numbers.

3. Positive and negative rational numbers

. Positive Rational Numbers:

 Rational numbers whose numerator and denominator have the same sign.  Such numbers are called positive rational numbers.  Such as: 2/3, 2/5, -5 / -7 etc. are all positive rational numbers because the numerator and denominator of these numbers have the same sign.

. Negative Rational Numbers:

 Rational numbers that have a negative sign either in the numerator or in the denominator are called negative rational numbers.  Such as: -5/7, 5 / -7, -2/3 etc. All examples have negative rational numbers because these numbers either have a negative sign in the denominator or in the numerator.

4. Property of rational number

 A rational number (which is in the form of p / q or fraction and denominator) if we multiply an m integer by both its numerator and denominator, then that rational number will not change at all, ie it will remain the same.

5. Examples:

 We take a rational number 2/3 as an example.  Now we multiply 3 by both the numerator and denominator of this rational number.  Multiplying this number by 3 gives us 6/9.  We will find this number changed, but if we write this number in its simplest form then it will become 2/3.  That is, this number has not changed at all.

 A rational number (which is in the form of p / q or numerator and denominator) if we divide an m integer by its numerator and denominator, then that rational number will not change at all, ie it will remain the same.

* Examples:

 We take 2/3 as an example which is a rational number ie p / q.  If we divide the numerator and denominator of this number by an equal number of examples, we take 3.  Then we will have only 2/3 left in the end.  So we saw that if we divide the numerator and denominator of a rational number by the same number, then that number does not change at all, that is, it remains the same.

 6.Formula of rational number


 We take 48/72 as an example. We can see that this is a rational number but we also know that it is not in its simplest form.  Now this can be simplified further.

 So we will write it in its simplest form which is 2/3.  Hence, the standard form of rational numbers is their simplest form.  If a rational number is not in its simplest form, it is not in its standard form.