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Multiplying A Repeating 1s Number By 14

Multiplying A Repeating 1s Number By 14

Multiplying a repeating 1's number by 14

  1. Choose a repeating 1's number (111, etc.)
  2. Multiply it by 14
  3. The product is:
    - first digit is 1
    - next digits are 5's - one fewer than repeating 1's in the original number
    - last digit is 4.
   Example:
  1. If the first number is 11111:
  2. Multiply by 14. The product is:
    first digit is 1: 1
    next digits are 5's, one fewer than 1's: 5555
    last digit is 4: 4
  3. So 11111 × 14 = 155554.

   See the pattern?

  1. If the first number is 11111111:
  2. Multiply by 14. The product is:
    first digit is 1: 1
    next digits are 5's, one fewer than 1's: 5555555
    last digit is 4: 4
  3. So 11111111 × 14 = 155555554.




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16 Oct, 2019, 05:56:12 AM