Surprising Number Patterns I

There are times when the charm of mathematics lies in the surprising
nature of its number system. There are not many words needed to demonstrate
this charm. It is obvious from the patterns attained. Look, enjoy, and
spread these amazing properties to your students. Let them appreciate the
patterns and, if possible, try to look for an “explanation” for this. Most
important is that the students can get an appreciation for the beauty in
these number patterns.

1 .1 = 1
11 .11 = 121
111 .111 = 12,321
1.111 .1.111 = 1,234,321
11.111 .11.111 = 123,454,321
111.111 .111.111 = 12,345,654,321
1.111.111 .1.111.111 = 1,234,567,654,321
11.111.111 .11.111.111 = 123,456,787,654,321
111.111.111 .111.111.111 = 12,345,678,987,654,321