# Rational Numbers

1. Jul 19, 2010

### Justin Kirk

Are whole numbers rational numbers? If so, will any whole number divided by any other whole number result in a rational number?

2. Jul 19, 2010

### Office_Shredder

Staff Emeritus
A rational number, by definition, is an integer divided by another integer (that's not equal to zero).

As for the integers themselves, for example $$3=\frac{3}{1}$$ we see that 3 is in fact an integer divided by another integer, so is a rational number as well. The same exact argument can be used for any whole number

3. Jul 19, 2010

### HallsofIvy

Yes, the "whole numbers" is a subset of the rational numbers.

The answer to "will any whole number divided by any other whole number be a rational number" is "almost". Any whole number divided by any whole number except 0 is a rational number.