# NCERT Class 8 Mathematics Chapter 1 Rational Numbers CBSE Board Sample Problems (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Rational Numbers

 Sr. no Type of numbers Description 1. Natural numbers It is the counting numbers 2. Whole number It is the counting numbers + zero 3. Integers 4. Positive inters 5. Negative integers 6. Rational number A number is called rational if it can be expressed in the form p/q where p and q are integers () .Example: etc.
 Sr. no Terms Descriptions 1. Additive identify/Role of Zero Zero is called the identify for the addition of rational numbers. It is the additive identify for integers and whole numbers as well 2. Multiplicative indentify/role of the 1 is the Multiplicative indentify for rational numbers. It is the Multiplicative indentify for integers and whole numbers as well 3. Reciprocal or multiplicative inverse The multiplicative inverse of any rational number is Defined as b/a so that Zero does not have any reciprocal or multiplicative inverse

### Properties of Rational Numbers

#### Closure Property

 Numbers Closed Under Addition subtraction multiplication Division Rational Numbers Yes Yes Yes No Integers Yes Yes Yes No Whole Numbers Yes No Yes No Natural Numbers Yes No Yes No

#### Commutativity Property

 Numbers Commutative Under Addition subtraction multiplication Division Rational Numbers Yes No Yes No Integers Yes No Yes No Whole Numbers Yes No Yes No Natural Numbers Yes No Yes No

#### Associativity Property

 Numbers Associative Under Addition subtraction multiplication Division Rational Numbers Yes No Yes No Integers Yes No Yes No Whole Numbers Yes No Yes No Natural Numbers Yes No Yes No

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