June 28th, 2017, 04:16 AM  #1 
Member Joined: Nov 2011 Posts: 73 Thanks: 0  zero
Is zero rational number?

June 28th, 2017, 04:47 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,943 Thanks: 2268 Math Focus: Mainly analysis and algebra 
Yes.

June 28th, 2017, 04:57 AM  #3 
Member Joined: Nov 2011 Posts: 73 Thanks: 0 
It's possible to say that zero is rational because it's a whole number and rational number is a fraction or a whole number. Right? Last edited by skipjack; June 28th, 2017 at 05:06 AM. 
June 28th, 2017, 05:10 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 17,919 Thanks: 1386 
A rational number is a number that can be expressed as a fraction, p/q, where p and q are integers and q is nonzero.

June 28th, 2017, 05:11 AM  #5 
Member Joined: Nov 2011 Posts: 73 Thanks: 0 
so in whole number q is equal to 1. Right?

June 28th, 2017, 08:40 AM  #6 
Global Moderator Joined: Dec 2006 Posts: 17,919 Thanks: 1386 
Not necessarily, as (6)/(2) = 3, which is a whole number. Note that some people use the term "whole number" to mean a nonnegative integer, and that a rational number can be negative.

June 28th, 2017, 11:07 AM  #7 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,576 Thanks: 931 Math Focus: Elementary mathematics and beyond 
$0=\frac0r$, where $r$ is any real number other than $0$.
