Question

Are rational numbers closed under division ? justify with an example​

Answer 1

Step-by-step explanation:

Under Division:

The rationals are not closed under division because of the possibility of division by zero.

Zero is a rational number and division by zero is undefined.

Answer 2

Rational numbers are not closed under division.

What is a rational number?

A rational number is one that can be written as the ratio or fraction $\frac{p}{q}$ of two numbers, where p and q are the numerator and denominator, respectively.

Also, p and q do not have any common components and q is not equal to zero. According to closed under division, if two rational numbers are divided, the resulting number will also be a rational number.

We know that rational numbers contain integers.

For the number 0, we unable to show that rational number is closed under division because if we divide any number by 0 then it will give us undefined.

i.e., $\frac{3}{0} =$ undefined

Therefore, rational numbers are not closed under division.

To learn more about rational number from the given link

https://brainly.in/question/138158

#SPJ2