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From: ziegler@lzmi.UUCP
Newsgroups: net.math
Subject: Re: Simple Division Properties
Message-ID: <106@lzmi.UUCP>
Date: Sun, 28-Aug-83 19:47:28 EDT
Article-I.D.: lzmi.106
Posted: Sun Aug 28 19:47:28 1983
Date-Received: Tue, 30-Aug-83 01:18:28 EDT
References: uw-june.548
Lines: 10

My favorite base-10 numeric property is this:

	If you transpose any to adjacent digits in a number, the
	difference between the original number and the resulting
	number is always divisible by nine, and of the same order
	of magnitude as the rightmost transposed digit.  The proof
	is left up to the interested student...   

(Whoops -- make that "any two adjacent digits")
This one comes in very handy for bank tellers and accountants.