Question

let x =7/20×25 be a rational number then x has decimal expansion which terminates
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Answer 1

Required Answer:-

To find whether a rational number terminates or not, check the prime factorisation of the denominator but before that, make sure to keep the fraction in its simplest form.

The denominator should be of the form ${2}^{m} \times {5}^{n}$. And the number of places it terminates let k will be greater of m and n$.$

Here, 25 × 20 = 2² × 5³ (3 is greater).

So, the fraction will terminate after 3 decimal places.

Answer 2

Required Answer:-

To find whether a rational number terminates or not, check the prime factorisation of the denominator but before that, make sure to keep the fraction in its simplest form.

The denominator should be of the form {2}^{m} \times {5}^{n}2m×5n . And the number of places it terminates let k will be greater of m and n..

Here, 25 × 20 = 2² × 5³ (3 is greater).

So, the fraction will terminate after 3 decimal place