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#Parimeya_Sankhya #Class8 #Odia_Medium The additive identity of a rational number is 0 and its additive inverse is the number itself. Multiplicative identity of a rational number is 1 and its multiplicative inverse is the reciprocal of the number. Between any two rational numbers, an infinite number of rational numbers can be positioned. We will learn the comparison of rational numbers. We know how to compare two integers and also two fractions. We know that every positive integer is greater than zero and every negative integer is less than zero. Also every positive integer is greater than every negative integer. Similar to the comparison of integers, we have the following facts about how to compare the rational numbers. (i) Every positive rational number is greater than 0. (ii) Every negative rational number is less than 0. (iii) Every positive rational number is greater than every negative rational number. (iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left. (v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right. In order to compare any two rational numbers, we can use the following steps: Step I: Obtain the given rational numbers. Step II: Write the given rational numbers so that their denominators are positive. Step III: Find the LCM of the positive denominators of the rational numbers obtained in step II. Step IV: Express each rational number (obtained in step II) with the LCM (obtained in step III) as common denominator. Step V: Compare the numerators of rational numbers obtained in step having greater numerator is the greater rational number.

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