# Math Help - "The set of rational numbers...."

1. ## "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!

2. Originally Posted by pleasehelpme12345
"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?

3. I have no clue what you just posted!

4. Originally Posted by pleasehelpme12345
I have no clue what you just posted!
Good grief, if that is true, what do you know?
What do you know about rational numbers?
Are you trying to get a completely solved, ready to turn in solution?

5. Not at all, I just don't understand the symbols. Thanks though! I got it.