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Multiply by 9, 99, 999...

Multiply a number by a run of nines without ever multiplying by 9

The Rule

  1. 1Works when the number has as many digits as there are nines (e.g. a 2-digit number × 99).
  2. 2Left part = the number minus 1.
  3. 3Right part = the next power of 10 minus the number.
  4. 4Write the left part followed by the right part (padded to match the digit count).