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CHAPTER NUMBER ONE
MADE BY:S N MISHRA
Various types of numbers
 Natural Numbers : All counting numbers are known as
natural numbers. Eg: 1,2,3,…, ∞.
 Whole numbers: All counting numbers including zero
are known as natural numbers. Eg: 0,1,2,3,…, ∞.
 Integers: All counting numbers with positive and negative
sign including zero are known as Integers. Or All negative
and positive numbers including zero are called Integers
Eg: -2,-1,0,1,2,..., ∞
There are certain numbers which does not come under these
category like 1.5,1/2,…, ∞
Can you guess the type of numbers. These type of numbers
are known as Rational Numbers.
Numbers System
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). It
includes all natural, whole number and integers.
 Example: 1/2, 4/3, 5/7,1 etc.
Representation of rational numbers
on the number line
Representation of rational numbers
on the number line
Question:
Question
Question
Between any two integers, we have many rational
numbers. For example between 0 and 1, we can find
rational numbers ,1/10,1/20,3/10,…. Which can be
written as 0.1, 0.2, 0.3, ...
Properties of Rational Numbers
 1.Closure Property
 2.Commutative Property
 3.Associative Property
 4.Additive Identity
 5.Additive Inverse
Operation Addition
THANK YOU

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RATIONAL NUMBERS CLASS8.pptx

  • 1. CHAPTER NUMBER ONE MADE BY:S N MISHRA
  • 2. Various types of numbers  Natural Numbers : All counting numbers are known as natural numbers. Eg: 1,2,3,…, ∞.  Whole numbers: All counting numbers including zero are known as natural numbers. Eg: 0,1,2,3,…, ∞.  Integers: All counting numbers with positive and negative sign including zero are known as Integers. Or All negative and positive numbers including zero are called Integers Eg: -2,-1,0,1,2,..., ∞ There are certain numbers which does not come under these category like 1.5,1/2,…, ∞ Can you guess the type of numbers. These type of numbers are known as Rational Numbers.
  • 4. 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). It includes all natural, whole number and integers.  Example: 1/2, 4/3, 5/7,1 etc.
  • 5. Representation of rational numbers on the number line
  • 6. Representation of rational numbers on the number line Question:
  • 9.
  • 10. Between any two integers, we have many rational numbers. For example between 0 and 1, we can find rational numbers ,1/10,1/20,3/10,…. Which can be written as 0.1, 0.2, 0.3, ...
  • 11.
  • 12.
  • 13.
  • 14. Properties of Rational Numbers  1.Closure Property  2.Commutative Property  3.Associative Property  4.Additive Identity  5.Additive Inverse
  • 16.
  • 17.
  • 18.