MULTIPLE SUBTRACTION OF NINE IN ARRAYS

Abstract

This article is the result of an analysis made to whole numbers, with greater emphasis on natural numbers. The objective of this research is to bring a property of the numbers that is verified when the positions of the digits of the numbers are exchanged, giving rise to the multiples of nine. A property that consists of changing the position of its digits from a number and then calculating its difference, which gives rise to a multiple of nine. In this context, the work approaches the relationship between subtraction and the multiples of nine in the arrangement. Beyond subtraction, for this research, the introduction of combinatorial analysis was fundamental, a subject that was very important in this research, because it was through the arrangements, in this case permutation, that were presented in this work, that the subtraction of the numbers by permuting their digits, thus obtaining the multiples of nine.