# "The set of rational numbers...."

• December 2nd 2008, 04:01 PM
"The set of rational numbers...."
"The set of rational number is closed under division. -- TRUE OR FALSE"

I think this is false, but simply cause I read it in my text book (or mis-read it if I am wrong).

Can someone show me an example?

Many thanks! (Hi)
• December 2nd 2008, 04:10 PM
Plato
Quote:

"The set of rational number is closed under division. -- TRUE OR FALSE"
I think this is false, but simply cause I read it in my text book (or mis-read it if I am wrong).

If $\left\{ {n,m} \right\} \subseteq \mathbb{Q}\quad \& \quad n \ne 0$ then what can you say about $\frac{m}{n}$?
What happens if that ratio is not rational?
• December 2nd 2008, 04:27 PM
I have no clue what you just posted!
• December 2nd 2008, 05:48 PM
Plato
Quote: