Question

Closure property is not true for division of rational numbers because of the number​

Answer 1

Answer:

thanks of answer

Step-by-step explanation:

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Answer 2

Answer:

The closure property is not true for division of rational numbers because of the rational number ‘0’.

Step-by-step explanation:

Rational numbers are those numbers that can express in the form $\frac{p}{q}$, where p and q are integers and q $\neq$ 0

The set of rational numbers is closed under division if for any two rational numbers ‘a’ and ‘b’, then $\frac{a}{b}$ is also a rational number.

But the set of rational numbers is not closed under division because the division by zero is not defined. That is for any rational number ‘a’ and ‘0’, $\frac{a}{o}$ is not defined.

We can also conclude that the set of rational numbers is closed under division for all rational numbers except ‘0’

Hence, the closure property is not true for division of rational numbers because of the rational number ‘0’.