Rational Numbers-Do You Know Its Definition, Types , Equivalent Rational number and its properties in simple words

                Rational Number

Today is going to be your exciting day after reading this article you will become to understand one of the greatest confusing topics in math since your  childhood, Guess what I am talking about yes absolutely correct i.e., about   Rational numbers in the simplest words.

Rational Number - 

Definition: It is a simple ratio of two integers. Where denominator term i.e.,  integer  present as a number should not be zero.

Ratio = Numerator / Denominator  =  First integer / second integer .

Note - The second integer will not be equal to zero  While the first integer can be zero.

Ex- 0/1 = Rational number Number

      

       i.e., ZERO is a Rational Number.

     1/0 = It is not a rational number. When the denominator becomes zero at this stage we call it infinity in math for the deal this type of situation we study Calculus.

More Example of Rational Number - 1/2, 2/3, 4/5, 11/23,etc/

                                            OR  

Definition-  A number p/q is a rational number if p and q are integers and q is not equal to zero. 

Note- q can't be equal to zero because division by zero to any number is not defined and the result of it is called infinity.

Mathematically, 1/0 = Not defined = infinity ( )

 

Example- 8/13 , 10/23 , 0/1 , 23/15 etc/

Doubt- 

Q1. Are all natural numbers are rational numbers?

  = Yes all natural numbers are rational numbers. Counting numbers are called natural numbers.

Ex- 1,2,3,4,5,6,7,8,9,10-------------------- positive infinity. 

Q2. Is '0' a natural number ?

  =  Yes we can write zero as 0/1 where denominator term is zero and it can be zero so, it is a natural number.

Q3. Is 3/4 is a rational number ?

    = Yes because 3 and 4 are integers and denominator is 4 not zero.

Q4. Is -7/8 a rational number?

  = Yes because -7 and 8 are integers and denominator is 8 and not zero.

Q5. Is 0/6 a natural number?

 = Yes it is a natural number as 0  and 6 are integers and denominator is 6 and not zero.

Q6. Is 8/0 a natural number?

 = It is not a rational number because here denominator part integer is zero which should not be.

Q7.Are all integers ,natural numbers , whole numbers and fraction numbers  rational numbers.

 = Yes every integer is a rational number.

    

          every natural numbers is a rational number.

          every whole numbers is rational number.

          every fractions is a rational number.