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Q.

Which of the following is terminating decimal expansion?

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a

1113

b

723

c

53210

d

13400

answer is D.

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Detailed Solution

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723

23=1×23 

We cannot write denominator as the power of 2 and 5.

So, it is a non-terminating decimal expansion.

1113

13=1×13 

We cannot write denominator as the power of 2 and 5.

So, it is a non-terminating decimal expansion.

53210

210=2×3×5×7 

We cannot write denominator only in the power of 2 and 5.

So, it is a non-terminating decimal expansion.

13400:

400=24×52 

We can write denominator as the power of 2 and 5.

So, it is a terminating decimal expansion.

Hence, among the given options, the number 13400 is only having terminating decimal expansion.

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