NUMBERS RAT vii.pptx
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The document defines different types of numbers including natural numbers, whole numbers, integers, and rational numbers. Rational numbers are numbers that can be expressed as a ratio of two integers, including all natural, whole, and integer numbers. The document provides examples of rational numbers and illustrates how they can be represented on a number line between integers. It also lists properties of rational numbers such as closure, commutativity, associativity, additive identity, and additive inverse.
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NUMBERS RAT vii.pptx
- 1. CLASS VIII
- 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:
- 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 1.Closure Property 2.Commutative Property 3.Associative Property 4.Additive Identity 5.Additive Inverse