explain why any The decimal form of a rational number either terminates in 's or .
rational number is either a terminating or repeating decimal.
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Every rational number is either a terminating or repeating decimal. For any given divisor, only finitely many different remainders can occur. In the example above, the 74 possible remainders are 0, 1, 2, ..., 73. If at any point in the division the remainder is 0, the expansion terminates at that point
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