Q. 65.0( 1 Vote )

Which one of the following has a terminating decimal expansion?
A.

B.

C.

D.

Answer :

If a rational number (q≠0) can be expressed in the form , where p Z, and m,n W, then the rational number will have a terminating decimal expansion.


Otherwise, the rational number will have a non-terminating and recurring decimal


expansion.


Now, 32 = 25 × 50 Hence, it has terminating decimal expansion.Hence, option A is correct.


Option B is incorrect 9 = 32 and it cannot be expressed in the form 2m × 5n.


Option C is incorrect 15 = 3 × 5 and it cannot be expressed in the form 2m × 5n.


Option D is incorrect 12 = 3 × 22 and it cannot be expressed in the form 2m × 5n.


Hence, only option A is correct.

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