Difference between revisions of "Jadhav Division Axiom"
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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) | ||
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* '''[[Zeta]]''' | * '''[[Zeta]]''' | ||
* '''[[Jadhav Isosceles Formula]]''' | * '''[[Jadhav Isosceles Formula]]''' | ||
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| + | [[category:Axioms]] | ||
Latest revision as of 11:10, 27 September 2024
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
