Constant 9 : Properties of constant or loop value

Properties of constant or loop value;

If the lowest value is added to the constant or loop value and deduct the highest value from the result, the difference will be less than the lowest value of a constant or loop value.  “A+B-C = 0” for all  constant other than 9. where A = Constant Value , B = Lowest value of ordered elements and C = Highest Value of Ordered elements.

See the table below :

No of Digits Constant Base Value  Constant or Loop value (A)  Highest Value (C)  Lowest Value ( B ) Difference (A+B-C)
1 1                                                        9                                            9                                            9 9
2 11                                                   495                                       954                                       459 0
3 111                                               6,174                                   7,641                                   1,467 0
4 1,111                                             74,943                                 97,443                                 34,479 11,979
5 11,111                                         8,60,832                             8,86,320                             2,36,880 2,11,392
6 1,11,111                                       95,29,641                           99,65,421                           12,45,699 8,09,919
7 11,11,111                                   8,65,26,432                       8,66,54,322                       2,23,45,668 2,22,17,778
8 1,11,11,111                                 86,30,98,632                     98,86,63,320                       2,33,66,889 -10,21,97,799
9 11,11,11,111                             8,76,52,64,322                 8,76,65,43,222                 2,22,34,56,678 2,22,21,77,778
10 1,11,11,11,111                           86,42,09,87,532               98,87,65,43,220                 2,24,35,67,889 -10,21,19,87,799
11 11,11,11,11,111                       8,76,53,26,64,322           8,76,66,54,33,222           2,22,33,45,66,678 2,22,20,17,97,778
12 1,11,11,11,11,111                     86,54,31,97,65,432         98,76,65,54,43,321         12,33,44,55,66,789 11,10,98,88,900
13 11,11,11,11,11,111                 8,77,65,32,66,43,222     8,77,66,65,43,32,222         22,22,33,45,66,778 22,21,00,68,77,778
14 1,11,11,11,11,11,111               98,64,33,19,76,65,311   99,87,66,65,43,33,111   11,13,33,45,66,67,899 9,90,00,00,00,00,099
9 12,34,56,789                                 86,41,97,532                     98,76,54,321                     12,34,56,789 0
2 45                                                        9                                         54                                         45 0

In case of Loop value constant,  sum of values within the loop have these properties: See example of 14 digit constant:

  1,11,11,11,11,11,111       98,64,33,19,76,65,311   11,13,33,45,66,67,899       99,87,66,65,43,33,111   88,74,33,19,76,65,212
  1,11,11,11,11,11,111       88,74,33,19,76,65,212   11,22,33,45,66,77,889       98,87,76,65,43,32,211   87,65,43,19,76,54,322
  1,11,11,11,11,11,111       87,65,43,19,76,54,322   12,23,34,45,56,67,789       98,77,66,55,44,33,221   86,54,32,09,87,65,432
  1,11,11,11,11,11,111       86,54,32,09,87,65,432     2,23,34,45,56,67,889       98,87,66,55,44,33,220   96,64,32,09,87,65,331
  1,11,11,11,11,11,111       96,64,32,09,87,65,331     1,23,33,45,66,67,899       99,87,66,65,43,33,210   98,64,33,19,76,65,311
 Sum loop value   4,58,22,73,79,05,15,610   38,05,69,28,13,49,365   4,96,28,43,07,18,64,970                                            –
 Loop value property  A  B  C ‘A+B-C=0’

 

 

 

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