A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form p/q ? Give reasons.

A rational number in its decimal expansion is 327.7081. What can you s

1.	A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form p/q ? Give reasons.
Answer» Solution: 327.7081 = 3277081/10000 = 3277081 / 2⁴ x 5⁴= p/q Here, q is of the form 2^m × 5ⁿ, where m and n are natural numbers. The prime factors of p and q will be either 2 or 5 or both.

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A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form p/q ? Give reasons.​

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A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form p/q ? Give reasons.