Posted by **Chuck** on Monday, January 28, 2013 at 4:25pm.

Are there more rational or irrational numbers?

I am thinking irrational, because the product of a rational and irrational number is irrational. Is this enough of a reason to prove it?

- Math -
**Steve**, Monday, January 28, 2013 at 4:59pm
There are many many more irrationals than rationals. In fact, there are so many more that if you threw a dart at the number line, the chance of hitting a rational is zero.

The proof is relatively simple, and involves the idea of countability. You can count the rationals, but not the irrationals.

## Answer this Question

## Related Questions

- math - What is the best sequence of names to identify this set of numbers? (1 3/...
- math- please help - What is the best sequence of names to identify this set of ...
- THE HOMEWORK IS DUE TODAY- HELP! HELP! PLEASE - There exist irrational numbers a...
- please help with math - There exist irrational numbers a and b so that a^b is ...
- irrational numbers?! - what are rational and irrational numbers?? i know that ...
- Math - What are irrational, rational, and natural numbers? A rational number is ...
- math - There exist irrational numbers a and b so that a^b is rational. look at ...
- Math - 1a) Prove that there exist irrational numbers a and b so that a^b is ...
- math - Which statement is true? A. All irrational numbers are also rational ...
- Math - In the question: a rational number plus an irrational number will be ____...

More Related Questions