The Squares of numbers using Komozian series
Date
2017
Authors
Omoze, Hillary Ongoyo
Matuya, John Wanyonyi
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
In this paper we have determined the squares of numbers using the Komozian series. The method has established series which analyses the digits present in a given number and sets priority for every digit depending on its place value. The number of digits present are represented by k 1: kis the number of digits present other than the last digit which is taken to be and has a place value of ones while the place values of the other digits is given by 10 j and the total value of the digits is given by 10 j m wherejj k, k 1, k 2,..., 3, 2,1, 0 . The number x would be given byx 10k m10k 1 mk 110k 2 mk 2 ... 103 m102 m101 m100 mThe formula is given in series depending on the value of k , it is assumed that when square is known and therefore needs not to be calculated.k 0 the The presentation spans k 1,k 2,k 3 and then generalizes for k nk 2.
Description
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.
Keywords
Komozian series