Any given number can turn to a constant 9
How to turn any number into single digit number 9. Excel file of calculation :
https://drive.google.com/file/d/0B03sv1XHNIyOVA1QVFvMUVVc2s/view?usp=sharing
Any given number can be turned to single digit constant 9.
3Rules to Number 9: Any given number(n) other than 0 can be turned to single digit number 9
1) Sort to Lowest or Lower Value(SLV), then deduct from Given Number(GN) or RN to obtain Result Number(RN), if GN is greater than the SLV. eg: n = 6174, SLV = 1467 ie. nslv
2) Sort to Highest or Higher Value(SHV) , then deduct the SLV from SHV , If the GN or RN and SLV are Equal and obtain RN eg: slv = 1467 , shv = 7641 shvslv
3) Add the same number to the GN or RN, if all elements of number is same or single digit number and obtain RN eg: 111 (111+111) and obtain the RN
Repeat the steps applying above rules using RN will convert any GN to 9
***If Given Number is negative then deduct the sort to highest value in rule 2
Eg: 6174, 9 and 1 are below:
Steps  Number  Input  Lowest to Highest  Highest to Lowest  Result  Rule 
1  6174  6174  1467  7641  4707  GGR 
2  6174  4707  477  7740  4230  GGR 
3  6174  4230  234  4320  3996  GGR 
4  6174  3996  3699  9963  297  GGR 
5  6174  297  279  972  18  GGR 
6  6174  18  18  81  63  HTL 
7  6174  63  36  63  27  GGR 
8  6174  27  27  72  45  HTL 
9  6174  45  45  54  9  HTL 
Steps  Number  Input  Lowest to Highest  Highest to Lowest  Result  Rule 
1  9  9  9  9  18  EQL 
2  9  18  18  81  63  HTL 
3  9  63  36  63  27  GGR 
4  9  27  27  72  45  HTL 
5  9  45  45  54  9  HTL 
Steps  Number  Input  Lowest to Highest  Highest to Lowest  Result  Rule 
1  1  1  1  1  2  EQL 
2  1  2  2  2  4  EQL 
3  1  4  4  4  8  EQL 
4  1  8  8  8  16  EQL 
5  1  16  16  61  45  HTL 
6  1  45  45  54  9  HTL 
Division by 0 is clearly defined as per the rule of
1) Repetitive deduction with remainder addition back as First Step Rule
2) Rule of Multiplication inverse' (Error /1)
Any number n/0 = n or 0; 0/0 = 0 or 1
1) First Step
Eg: 6/2 = 3 , (2 x 3)+0= 6 ; 6/0 = (0 x 1)+6 = 6 ; 7/2 = 3+(1/2), (2 x 3)+1 ; 0/0 = 0 , (0 x 1)+0 =0
Steps 6/2  6  Steps 6/0  6  Steps 7/2  7  Steps 0/0  0 
1  2  1  0  1  2  1  0 
 4   6   5   0 
2  2    2  2   
 2     3   
3  2    3  2   
 0     1   
2) Multiplication in verse (Error by 1).
Eg: 1/0 = '0/1 x 1/0 = 0/1 x Error = 0/1 x (Error x 1/1) = 0 x (Error/1) = 0
Logical conclusion : We have group of person representing number n and who don't want be arranged in group (0 Divisions)so the value of number n remain as same. However division by zero is neither Error nor Undefined.
(01 x 09 = 09 = (01+01+01+01+01+01+01+01+01)  (09 x 01)=0, means from 09 nine (9) times 1 can deduct.
or nine(9) times 0 can deduct or nine(9) times 01 can deduct. Hence n/0 = n).
Constant9: 9 (Constant)
How to turn any number into single digit number 9. Excel file of calculation :
https://drive.google.com/file/d/0B03sv1XHNIyOVA1QVFvMUVVc2s/view?usp=sharing
Any given number can be turned to single digit constant 9.
3Rules to Number 9: Any given number(n) other than 0 can be turned to single digit number 9
1) Sort to Lowest or Lower Value(SLV), then deduct from Given Number(GN) or RN to obtain Result Number(RN), if GN is greater than the SLV. eg: n = 6174, SLV = 1467 ie. nslv
2) Sort to Highest or Higher Value(SHV) , then deduct the SLV from SHV , If the GN or RN and SLV are Equal and obtain RN eg: slv = 1467 , shv = 7641 shvslv
3) Add the same number to the GN or RN, if all elements of number is same or single digit number and obtain RN eg: 111 (111+111) and obtain the RN
Repeat the steps applying above rules using RN will convert any GN to 9
***If Given Number is negative then deduct the sort to highest value in rule 2
Eg: 6174, 9 and 1 are below:
Steps

Number

Input

Lowest to Highest

Highest to Lowest

Result

Rule

1

6174

6174

1467

7641

4707

GGR

2

6174

4707

477

7740

4230

GGR

3

6174

4230

234

4320

3996

GGR

4

6174

3996

3699

9963

297

GGR

5

6174

297

279

972

18

GGR

6

6174

18

18

81

63

HTL

7

6174

63

36

63

27

GGR

8

6174

27

27

72

45

HTL

9

6174

45

45

54

9

HTL

Steps

Number

Input

Lowest to Highest

Highest to Lowest

Result

Rule

1

9

9

9

9

18

EQL

2

9

18

18

81

63

HTL

3

9

63

36

63

27

GGR

4

9

27

27

72

45

HTL

5

9

45

45

54

9

HTL

Steps

Number

Input

Lowest to Highest

Highest to Lowest

Result

Rule

1

1

1

1

1

2

EQL

2

1

2

2

2

4

EQL

3

1

4

4

4

8

EQL

4

1

8

8

8

16

EQL

5

1

16

16

61

45

HTL

6

1

45

45

54

9

HTL

Division by 0 is clearly defined as per the rule of
1) Repetitive deduction with remainder addition back as First Step Rule
2) Rule of Multiplication inverse' (Error /1)
Any number n/0 = n or 0; 0/0 = 0 or 1
1) First Step
Eg: 6/2 = 3 , (2 x 3)+0= 6 ; 6/0 = (0 x 1)+6 = 6 ; 7/2 = 3+(1/2), (2 x 3)+1 ; 0/0 = 0 , (0 x 1)+0 =0
Steps 6/2

6

Steps 6/0

6

Steps 7/2

7

Steps 0/0

0

1

2

1

0

1

2

1

0


4


6


5


0

2

2



2

2




2




3



3

2



3

2




0




1



2) Multiplication in verse (Error by 1).
Eg: 1/0 = '0/1 x 1/0 = 0/1 x Error = 0/1 x (Error x 1/1) = 0 x (Error/1) = 0
Logical conclusion : We have group of person representing number n and who don't want be arranged in group (0 Divisions)so the value of number n remain as same. However division by zero is neither Error nor Undefined.
(01 x 09 = 09 = (01+01+01+01+01+01+01+01+01)  (09 x 01)=0, means from 09 nine (9) times 1 can deduct.
or nine(9) times 0 can deduct or nine(9) times 01 can deduct. Hence n/0 = n).