Q. 65.0( 1 Vote )

# Which one of the following has a terminating decimal expansion?A. B. C.D.

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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