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Reduced to single digit (Posted on 2019-09-06) Difficulty: 3 of 5
Suppose that we have two operations that we can perform on an integer:

Multiply it by any positive integer.
Delete the 0's in its decimal representation.

Beginning with any positive integer can we always obtain a single-digit number after a finite number of operations? For example, beginning with 7, we can multiply by 15 to obtain 105, delete the 0 to get 15, multiply by 2 to get 30, then delete the 0 to end with 3.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
regarding 111, etc. Steven Lord2019-09-14 15:14:16
re(5): Possible solutionbroll2019-09-13 21:03:44
re(4): Possible solutionbroll2019-09-13 20:59:44
re(4): Possible solutionCharlie2019-09-13 20:46:43
re(3): Possible solutionSteven Lord2019-09-13 17:56:57
re(2): Possible solutionbroll2019-09-13 12:18:54
re: Possible solutionSteven Lord2019-09-13 01:18:30
Some ThoughtsPossible solutionbroll2019-09-12 23:55:04
re: some effortsBrian Smith2019-09-12 22:46:14
more thoughtsSteven Lord2019-09-12 01:02:32
some effortsSteven Lord2019-09-10 13:12:56
re: ThoughtsCharlie2019-09-10 12:47:44
Another line of attackJer2019-09-10 11:20:41
ThoughtsJer2019-09-10 11:13:47
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