Question
Wed June 06, 2012 By:
 

the decimal expansion of the rational number 4³/2 raise to4*5³ will terminate after how many places of decimals?

Expert Reply
Wed June 06, 2012

We know:

If the denominator of a rational number is of the form 2n5m, then it will terminate after n places if n>m or m places if m>n.

The given rational number is

43/24*53

Here, n = 4 > 3 = m

So, the given rational number will terminate after 4 places.

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