Miles and the Math Multiples

What do you see in this group of numbers? 

Miles was looking at the cover of this booklet (when he was supposed to be doing something else) and then announced that he saw a few patterns.  He proceeded to show me how the numbers were in order by their “endings” (or units digits) when he listed the multiples of 3, 7, AND 9.  Here he is explaining it…

(He wanted to do the beginning and ending dramatically like that.  :)  )

Aren't numbers cool???