The decimal expansion of the rational number 
will terminate after how many places of decimals?
Let x = p/q be a rational number, such that the prime factorization of q is of the form 2n 5m, where n, m are non-negative integers. Then x has a decimal expansion which terminates.
The maximum power of 2 or 5 in the given rational number is 4.
So, it will terminate after 4 places of decimals.
The decimal expansion of the given rational number will terminate after 4 places of decimals.
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