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Write the decimal expansion of number $251600$ .

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0.06421875

0.05421875

0.015625

0.0421875

answer is C.

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Detailed Solution

Given,
The rational number is

251600

.
As we know,
Rational number is number that can be expressed as

p q

of two integers and

q

is non zero.
Simplifying the number

251600

, we get,

⇒ 251600 = 25 24 × 102

⇒ 251600 = 25 × 54 24 × 54 × 102

⇒ 251600 = 15, 625 2 × 5 4 × 102

⇒ 251600 = 15, 625 10 4 + 2

⇒ 251600 = 15, 625 106 ⇒ 251600 = 0.015625

Hence, the decimal expansion of

251600

is 0.015625.
Therefore, option(3) is correct answer.

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