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

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Solution

The decimal number 327.7081 can be written in the form $\frac{p}{q}$ as

$327.7081= \frac{3277081}{10000}$

Here, q = 10000
The prime factors of 10000 are 2 and 5.
10000 = 10⁴ = 2⁴ × 5⁴

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

The decimal number 327.7081 can be written in the form pqas Here, q = 10000 The prime factors of 10000 are 2 and 5. 10000 = 10⁴ = 2⁴ × 5⁴

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

The decimal number 327.7081 can be written in the form $\frac{p}{q}$ as

$327.7081= \frac{3277081}{10000}$

Here, q = 10000
The prime factors of 10000 are 2 and 5.
10000 = 10⁴ = 2⁴ × 5⁴