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 = 2^{5} × 5^{0} Hence, it has terminating decimal expansion.Hence, option A is correct.

Option B is incorrect ∵ 9 = 3^{2} and it cannot be expressed in the form 2^{m} × 5^{n}.

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

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

Hence, only option A is correct.

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