EXPLANATION In Class IX, you studied that rational numbers have either a terminating decimal expansion or a non-terminating repeating decimal expansion. In this section, we are going to consid
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EXPLANATION In Class IX, you studied that rational numbers have either a terminating decimal expansion or a non-terminating repeating decimal expansion. In this section, we are going to consid
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THEOREM 1.15: Let x be a rational number whose decimal expansion terminates.Then x can be expressed in the form , where p and q are coprime, and the prime factorisation of q is of the f
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Theorem 1.6 Let be a rational number, such that the prime factorisation of q is of the form 2n5m, where n, m are non-negative integers. Then x has adecimal expansion which terminate
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Theorem 1.7 Let x = , where p and q are coprimes, be a rational number,such that the prime factorisation of q is not of the form 2n5m, where n, m are non-negative integers. Then, x has a decimal ex
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