Tamilnadu 6th to 10th mathematics book pdf


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We often come across situations that involve large numbers in real life , like the number of people living in a district , the budget of the Government , the distance of stars or the number of bicycles sold in a year and so on . In all these situations , we look for names that convey the ” size ” of these numbers .¬†

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A number is called an odd number if it cannot be grouped equally in twos . 1 , 3 , 5 , 7 , 73 , 75 , 2009 , … are odd numbers . A number is called an even number if it can be grouped equally in twos . 2 , 4 , 6 , 8 , 68 , 70 , . . , 4592 , … are even numbers . … ) All odd numbers end with anyone of the digits 1 , 3 , 5 , 7 or 9 . All even numbers end with anyone of the digits 0 , 2 , 4 , 6 or 8 . In whole numbers , odd and even numbers come alternatively .

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On Anbu’s birthday function , his father , mother and uncle have bought one cake each of equal size . At the time of cutting a cake , two friends were present for the celebration . He divided the cake into 2 equal pieces and gave the pieces to them . After some time , three of his friends arrived . He took another cake and divided it into 3 equal pieces and gave the pieces to them . Still he has one more cake at home . Anbu wanted to share it among his four family members . Third cake is divided into 4 equal pieces and given to them . Following table shows how Anbu divided the cake equally according to the number of persons .

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Recap Integers are a collection of natural numbers , zero and negative numbers . We denote this collection by Z Negative integers are represented on the number line to the left of zero and positive integers to the right of zero . 

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Comparison of Decimals Let us see Bob Beamon’s Long Jump record of 1968 summer Olympics which stood for 23 years . His record was 8.90 m . This record was broken by Carl Lewis and Mike Powell in 1991 , World championship held at Tokyo , Japan . Carl Lewis jumped 8.91 m and Powell jumped 8.95 m . Can you compare these distances .

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Place value grid model So far we have discussed grid models to do addition and subtraction of decimal numbers . Earlier we have studied representation of decimal numbers in place value tables . Let us use the same representation for addition and subtraction of decimal numbers 

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Equivalent rational numbers We know how to write equivalent fractions when a fraction is given . Since a rational number can be represented by a fraction , we can think of equivalent rational numbers , duly obtained through equivalent fractions . Suppose a rational number is in fractional form . Multiply its numerator and denominator by the same non – zero integer to obtain a rational number which is equivalent to it .

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The theory of sets was developed by German mathematician Georg Cantor . Today it is used in almost every branch of Mathematics . In Mathematics , sets are convenient because all mathematical structures can be regarded as sets .

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The notion of sets provides the stimulus for learning higher concepts in mathematics . A set is a collection of well – defined objects . This means that a set is merely a collection of something which we may recognize . In this chapter , we try to extend the concept of sets in two forms called Relations and Functions . For doing this , we need to first know about cartesian products that can be defined between two non – empty sets . It is quite interesting to note that most of the day – to – day situations can be represented mathematically either through a relation or a function . For example , the distance travelled by a vehicle in given time can be represented as a function . The price of a commodity can be expressed as a function in terms of its demand . The area of polygons and volume.

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