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Math Adventures/Palindromes

From Wikiversity

Compute each of the following products:

1 × 1 =

11 × 11 =

111 × 111 =

1111 × 1111 =

11111 × 11111 =

111111 × 111111 =

1111111 × 1111111 =

11111111 × 11111111 =

111111111 × 111111111 =

What pattern do you notice?

Can you explain why this happens?