The decimal representation of will terminate after
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are non-negative integers, then the decimal expansion of the rational number is terminating otherwise non terminating recurring. Hence it will terminate after two places of decimal. Note: The rational number for which the long division terminates after a finite number of steps is known as terminating decimal.
For example 14=0.25 , it has only two decimal digits. The resulting decimal number ends with five decimal digits and therefore, it is terminating decimal. Hence,532 has a terminating decimal expansion.
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