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111111111×111111111

Why do so many people enjoy mathematics?  Is it because they like talking in some other language and sounding like an alien?  No, it’s because they like to solve puzzles and discover patterns.  Here is one fun pattern to ponder for today.

1 x 1 = 1

11 x 11 = 121

111 x 111 = 12321

1111 x 1111 = 1234321

11111 x 11111 = 123454321

111111 x 111111 = 12345654321

1111111 x 1111111 = 1234567654321

11111111 x 11111111 = 123456787654321

111111111 x 111111111 = 12345678987654321

I encourage you to play with these by hand and see just why the answers work the way they do.  Also, stare at the answers and see if you spot any more patterns.  Have fun!

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