Difference between revisions of "Jadhav Division Axiom"

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'''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]]'''
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'''Jadhav Division Axiom''' is a method of predicting the number of digits before decimal point in a common fraction, derived by [[Jyotiraditya Jadhav]]
  
 
== Statement ==
 
== 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.
 
  
==== <math>d \times 10^{k-1}<n < d \times 10^k </math> ====
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For any fraction <math>\frac{m}{n}</math>, where <math>n \cdot 10^{k-1} < m < n \cdot 10^{k}</math>, when expressed as a decimal, there are <math>k</math> digits after the decimal point.
'''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 ==
 
== Uses ==
  
* All type of division processes  
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* All types of division processes  
 
* Can be used to correctly predict the nature of the answer for long 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
 
* Can be used to determine the sin and cosine functions of extreme angles
  
== Other Discoveries by Jyotiraditya Jadhav ==
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[[category:Axioms]]
  
* '''[[Jadhav Theorem|Jadhav Theorem]]'''
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{{stub}}
* '''[[Jadhav Triads]]'''
 
* '''[[Zeta]]'''
 
* '''[[Jadhav Isosceles Formula]]'''
 
 
 
[[category:Axioms]]
 

Revision as of 15:46, 14 February 2025

Jadhav Division Axiom is a method of predicting the number of digits before decimal point in a common fraction, derived by Jyotiraditya Jadhav

Statement

For any fraction $\frac{m}{n}$, where $n \cdot 10^{k-1} < m < n \cdot 10^{k}$, when expressed as a decimal, there are $k$ digits after the decimal point.

Uses

  • All types 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

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