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 .

1 X 8 = 8

11 X 88 = 968

111 X 888 = 98568

1111 X 8888 = 9874568

11111 X 88888 = 987634568

111111 X 888888 = 98765234568

1111111 X 8888888 = 9876541234568

11111111 X 88888888 = 987654301234568

111111111 X 888888888 = 98765431901234568

1111111111 X 8888888888 = 987654321791234568