Question

A rational no. In which it's decimal expansion is 327.7081 what can you say about the prime factor of q when this no. is expressed in the firm of p/q give reason

Answer 1

Answer:

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:

Answer 2

Answer:

Terminating decimal expansion.

Step-by-step explanation:

Given Decimal expansion is 327.7081

It can be written as:

= 3277081/10000

= 3277081/10⁴

= 3277081/(2 * 5)⁴

= 3277081/2⁴ * 5⁴

Here,denominator is in the form of 2^m / 5^n. here, m and n are natural no's

Therefore, the prime factors p and q will be either 2 or 5 or both.

Hope it helps!