# Difference between revisions of "Jadhav Division Axiom"

(Created page with "'''Jadhav Division Axiom''', gives a way to '''correctly predict''' the number of digits before decimal point in an incomplete or improper, division process left with remainde...") |
(→Statement) |
||

(One intermediate revision by the same user not shown) | |||

Line 4: | Line 4: | ||

In an incomplete division process if the dividend is '''lesser then''' Divisor into product of 10 raise to a '''power "k"''', and '''bigger then''' divisor into product of 10 with '''power "k-1"''' then there will be k number of terms before decimal point in an divisional process. | In an incomplete division process if the dividend is '''lesser then''' Divisor into product of 10 raise to a '''power "k"''', and '''bigger then''' divisor into product of 10 with '''power "k-1"''' then there will be k number of terms before decimal point in an divisional process. | ||

− | ==== <math>d \times 10^k-1<n < d \times 10^k </math> ==== | + | ==== <math>d \times 10^{k-1}<n < d \times 10^k </math> ==== |

'''Number of digits before decimal point is k''' (here d represents divisor and n represents dividend) | '''Number of digits before decimal point is k''' (here d represents divisor and n represents dividend) | ||

Line 24: | Line 24: | ||

== Other Discoveries by Jyotiraditya Jadhav == | == Other Discoveries by Jyotiraditya Jadhav == | ||

− | * '''[[Jadhav | + | * '''[[Jadhav Theorem|Jadhav Theorem]]''' |

* '''[[Jadhav Triads]]''' | * '''[[Jadhav Triads]]''' | ||

* '''[[Zeta]]''' | * '''[[Zeta]]''' | ||

* '''[[Jadhav Isosceles Formula]]''' | * '''[[Jadhav Isosceles Formula]]''' |

## Latest revision as of 08:04, 12 July 2021

**Jadhav Division Axiom**, gives a way to **correctly predict** the number of digits before decimal point in an incomplete or improper, division process left with remainder zero and a Quotient with decimal part, given by **Jyotiraditya Jadhav**

## Statement

In an incomplete division process if the dividend is **lesser then** Divisor into product of 10 raise to a **power "k"**, and **bigger then** divisor into product of 10 with **power "k-1"** then there will be k number of terms before decimal point in an divisional process.

**Number of digits before decimal point is k** (here d represents divisor and n represents dividend)

## Practical Observations

22/7 = 3.14

here { **7 X 10 ^(1-1) < 22 < 7 X 10^1 } , so number of digits before decimal point is 1**

100/ 6 = 16.6

here **{6 X 10^(2-1)<100<6 X 10^2 }, so number of digits before decimal point is 2**

## Uses

- All type of division processes
- Can be used to correctly predict the nature of the answer for long division processes.
- Can be used to determine the sin and cosine functions of extreme angles