define rational numbers on the basis of their decimal expansion
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A rational number gives either terminating or non-terminating recurring decimal expansion. Thus, we can say that a number whose decimal expansion is terminating or non-terminating recurring is rational.
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Decimal Expansion Of Rational Numbers:-
Any number that can be represented in the form of p/q, such that p and q are integers and q ≠ 0 are known as rational numbers. So when these numbers have been simplified further, the result in decimals.
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