Rational numbers can be expressed as fractions p/q where p and q are integers and q is not zero. All integers, natural numbers, and whole numbers are rational numbers. There are an infinite number of rational numbers between any two rational numbers. Rational numbers either terminate as decimals or repeat as non-terminating decimals. The sum, difference, product, and quotient of rational numbers are also rational numbers, meaning rational numbers are closed under the operations of addition, subtraction, multiplication, and division.

1. Number System
Tutorial on Rational Number’s
Class 9

2. What are Rational Numbers
• A number is called rational if it can be expressed
in the form p/q where p and q are integers ( q>
0).
Example : ½ , 4/3 ,5/7 ,1 etc.
• Every integers, natural and whole number is a
rational number. As all them can be expressed in
p/q form
Example : 2 can be expressed as 2/1
• There are infinite rational number between two
rational number

3. Rational Numbers
• They either have termination decimal
expression or repeating non terminating
decimal expression
Example 1.2 or 1.33333….
• The sum, difference and the product of two
rational numbers is always a rational
number.
• The quotient of a division of one rational
number by a non-zero rational number is a
rational number. Rational numbers satisfy
the closure property under addition,
subtraction, multiplication and division.

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