rational numbers.docx

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rational numbers

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INTRODUCTION

Today, I will tell you a story. Once there was a family of Natural Numbers where all counting numbers used to live. One day a guest named zero visited the house and requested for a permission to stay there. All were happy; they requested the eldest member of the family Mr. infinite () to grant the permission for 0. The permission was granted and the name of the house was changed to house of Whole numbers. Now, after some time negative numbers also visited the house and requested for the permission to be the part of the family. They were permitted and now the family became the family of Integers i.e. - . ..-3,-2,-1,0,1,2,3,..On seeing the family living together, some numbers which were in form of p/q, where p and q are natural numbers also asked for a permission to stay there. They were called Fractions . Some fractions are 4/7, 2/5 etc. The family of fractions also told that if you all see the denominator with you, which is not usually visible, then you will also become the part of fractions family. All the numbers started trying it and realized that they all are the part of fractions. But this was not true for negative integers . The meeting was held, in which it was decided that a name Rational number will be given to the family. A family of Rational Numbers consists of all the numbers which can be expressed in form of p/q, where p and q are integers, but q 0

RATIONALNUMBERSMS.RITU CHHABRATGT MATHSK.V. SAINIK VIHAR PREPAREDBY-

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STANDARDFORMOFRATIONALNUMBERSEQUIVALENT RATIONAL NUMBERSAny two rational numbers are said to be equivalent if their standard forms are equal.

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