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

Doorsteptutor material for CBSE/Class-8 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-8.

Rational Numbers

Rational Numbers
Sr. noType of numbersDescription
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 numberA number is called rational if it can be expressed in the form p/q where p and q are integers () .

Example: etc.

Rational Numbers
Sr. noTermsDescriptions
1.Additive identify/Role of ZeroZero 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 the1 is the Multiplicative indentify for rational numbers. It is the Multiplicative indentify for integers and whole numbers as well

3.Reciprocal or multiplicative inverseThe 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

Closure Property
NumbersClosed Under
AdditionsubtractionmultiplicationDivision
Rational NumbersYesYesYesNo
IntegersYesYesYesNo
Whole NumbersYesNoYesNo
Natural NumbersYesNoYesNo

Commutativity Property

Commutativity Property
NumbersCommutative Under
AdditionsubtractionmultiplicationDivision
Rational NumbersYesNoYesNo
IntegersYesNoYesNo
Whole NumbersYesNoYesNo
Natural NumbersYesNoYesNo

Associativity Property

Associativity Property
NumbersAssociative Under
AdditionsubtractionmultiplicationDivision
Rational NumbersYesNoYesNo
IntegersYesNoYesNo
Whole NumbersYesNoYesNo
Natural NumbersYesNoYesNo

Developed by: