Question

The decimal expansion of the rational number 214/2×5power3 will terminate after​

Answer 1

Answer:

If the denominator of a rational number is of the form 2

n

5

m

, then it will terminate after n places, if n>m or m places, if m>n.

The given rational number is

2

4

5

3

43

As the denominator is of the form 2

n

5

m

, where as n(=4)>m(=3)

Hence, the given rational number will terminate after n places, i.e., 4 places.

Hence, the correct answer is 4.