Associated With Irrational Numbers In earlier days, people used to exchange their things for other things. The requirement for numbers primarily originated from the need to count. They used the numbers 1,2,3,.that served the people for many years because all they needed to count was their crops, and animals. Later on numbers such as zero, integers, rational numbers, irrational numbers were introduced.

Conversion of Fractions into Corresponding Decimal Equivalents :

Conversion of Fractions into Corresponding Decimal Equivalents Let us find the decimal expansions of these rational numbers. We use the long division method a) 5/8 and b) 4/3

The decimal expansion of rational numbers is either terminating or non- terminating and repetitive. :

The decimal expansion of rational numbers is either terminating or non- terminating and repetitive. Whenever we divide 2 by 7, we get 0.285714285714……… Here, the group 285714 is repeated. Therefore, we can write Here, means that the group of digits 285714 is repeating .

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For irrational numbers, the decimal expansion is non-terminating non-repetitive.

Let us consider some fractions and their decimal forms.:

Let us consider some fractions and their decimal forms. = 6.5 = 0.9 = 0.54 = 0.593 = 0.00243

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Representation Of Rational Numbers On A Number Line Using Successive Magnification

PowerPoint Presentation:

Representation Of Rational Numbers On A Number Line Using Successive Magnification Represent

PowerPoint Presentation:

On this number line, we mark O and A at the points 0 and 2 respectively. At A, we draw AB of unit length which is perpendicular to OA. Now, we join OB. Taking O as the centre and OB as the radius, we will draw an arc which cuts the number line at P.

Representation :

Representation

A presentation by Swetha ravi :

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