RATIONAL NUMBERS CLASS8.pptx
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This document defines different types of numbers and rational numbers. It explains that rational numbers can be expressed as a ratio of two integers in the form p/q, where p and q are integers and q is not zero. Examples of rational numbers include 1/2, 4/3, and 5/7. The document also discusses how rational numbers can be represented on a number line between integers, with an example given between 0 and 1. Properties of rational numbers are listed, including closure, commutative, and associative properties as well as additive identity and inverse.
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- 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 ï‚— 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. ï‚— 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:
- 7. Question
- 8. Question
- 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, ...
- 14. Properties of Rational Numbers ï‚— 1.Closure Property ï‚— 2.Commutative Property ï‚— 3.Associative Property ï‚— 4.Additive Identity ï‚— 5.Additive Inverse
- 19. THANK YOU