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Comment by PretzelPirate

11 hours ago

> naturally suggests multiplying by 11

Is this a named concept that I can learn about?

The repeating pattern has 2 digits, and is a multiple of 9. 9 times 11 is 99, so that multiplication gives a "repeating pattern of a multiple of 99" — equivalently, a multiple of a repeating pattern of 99. And I assume you're familiar with the concept of .99999... equaling 1.