### Any given number can turn to single digit constant 9

How to turn any number into single digit number 9. Excel file of calculation :

https://drive.google.com/file/d/0B03s-v1XHNIyOVA1QVFvMUVVc2s/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. n-slv

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 shv-slv

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).