*** There are
other interesting patterns involving multiples of nine:
12345679 x 9 = 111111111
12345679 x 18 =
222222222
12345679 x 81 = 999999999
*** Take any
number and add the sums of the digits. The subtract the sum from the main
number. Add the sum of the new result and you would be amazed to find that the
sum is divisible by 9. For example,
The sum of the digits of 41 is 5, and 41-5
= 36. The digital root of 36 is 3+6 = 9, which, as explained above,
demonstrates that it is divisible by nine.
The sum of the digits of 35967930 is
3+5+9+6+7+9+3+0 = 42, and 35967930-42 = 35967888. The digital root of 35967888
is 3+5+9+6+7+8+8+8 = 54, 5+4 = 9.
*** Subtracting two base-10 positive integers
that are transpositions of each other yields a number that is a whole multiple
of nine. examples:
41-14=27
= 2+7=9
36957930 –
35967930 = 990000 a multiple of nine.
This works regardless of the number of
digits that are transposed. For example, the largest transposition of
35967930 is 99765330 (all digits in descending order) and its smallest
transposition is 03356799 (all digits in ascending order);
subtracting pairs of these number produces:.
99765330 -
35967930 = 63797400; 6+3+7+9+7+4+0+0 = 36; 3+6 = 9
99765330 -
03356799 = 96408531; 9+6+4+0+8+5+3+1 = 36; 3+6 = 9.
35967930 -
03356799 = 32611131; 3+2+6+1+1+1+3+1 = 18; 1+8 = 9.
Pentagon: The angle formed by two adjacent lines in a
pentagon equals 108 degrees.
*** Games:
In baseball, nine represents the right
fielder's position.
The number of innings in a regulation, non-tied
game of baseball.
The number of players on the field including the pitcher.
The score of a forfeit in a league where the
game would ordinarily last nine innings is 9-0.
NINE: A Journal of Baseball History and Culture published by the University of Nebraska Press
Nine-ball is the standard professional pocket billiards variant
played in the United States.
In rugby league, the jersey number assigned to
the hooker.
In rugby union, the number worn by the
starting scrum-half.
In association football (soccer) the
centre-forward/striker traditionally (since at least the fifties) wears the
number 9 shirt.
No comments:
Post a Comment