Question:
The decimal expansion of the rational number 23/2^3*5^2 will will terminate after how many places of decimal?
Answer:
Given number is 23/(23 *52 )
Since the denominator is of the form 2n * 5m
So it is terminating.
Now 23/(8*25) = 23/200
=> 23/(8*25) = 23/200 = 0.115
So 23/(23 *52 ) will terminate after 3 places of decimal.
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