Question

A rational no.in its decimal expansion is 1.7351 . What can you say about the prime factors of q when this no. is expressed in the form of p / q?

Answer 1

Answer:

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Answer 2

The Prime factors of q are 2 and 5.

Given:

Rational number = 1.7351.

To Find:

The prime factors of q.

Solution:

The given rational number is a terminating decimal number.

It can be shown in the form of p/q

⇒ 17351/10000

Where p=17351 and  q= 10000

⇒ 10000 = 2^4 * 5^4

which is of the form 2^m* 5^n, where m and n are natural numbers.

∴ The Prime factors of q are 2 and 5.

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