Exploration of the Number 9 and the Impact It Has on the Combination of Numbers on the 4 Basic Operations of Mathematics
Journal Title: Journal of Education and Literature - Year 2015, Vol 4, Issue 3
Abstract
This paper shows that the number 9 is unique and it has characteristics which are peculiar when compared to other numbers. When a number which is not a multiple of 9 is divided by 9, the result is always a repeating decimal with a unique pattern. The study of 9 has shown that if any number is divided by 3 or 6, provided that number is not a multiple of either 3 or 6, the result will be a repeating decimal because 3 and 6 have a special relationship with 9. The paper has tried to show the impact 9 has on other numbers in terms of addition, subtraction, multiplication and division and a number of formulas have been derived such as a + b = ab – (a x 10k – a) where ab ≠ a x b and k is the number of digits of b, to show that 9 is a special number. The study also shows that a ÷ 9, where a is not a multiple of 9 and a < 9, then a ÷ 9 = 0.aaaaaa..(a will be recurring), ab ÷ 99, where ab is not a multiple of 99 and ab < 99, then ab ÷ 99 = 0.abababab…..(ab will be recurring).The methods used in solving some problems were interesting to the learner and the teacher of mathematics not forgetting the mathematician. Studying the behavior of 9 is very enriching to the learner for it helps the learner to develop mathematical inquiry skills and at same time be able to develop mathematical reasoning, critical thinking and appreciate the importance of logic. The process of combining numbers to find the product, sum or difference has been shown and explained; such as 3 + 34 = 334 – 297 = 37. In this case the first step was to bring together or combine 3 and 34 in the order they are appearing to get 334 and then subtract 297 which is a multiple of 9.
Authors and Affiliations
Kwenge Erasmus
Keywords
Related Articles
- EP ID EP28492
- DOI -
- Views 249
- Downloads 7
The Classroom Situation: Does Teaching Qualify To Be Called a Profession?
For the past five decades, educators have been debating over whether teaching can be considered a profession. Studies have investigated theories of professionalisation; consensus has not been reached on how a professio...
Correlation of On-The-Job Training Performance on Print Media of AB Mass Communication Students and Academic Performance in Selected Professional Courses for School Year 2012-2013
On-the-Job Training provides various real-life learning experiences that could be of great help towards the achievement of greater knowledge, skills and values necessary for job placement. This study aimed to determine...
A Study of Reading Habit and Computer Technology Effect on Student in Pakistan
The purpose of this study is to determine that the computer technology has an impact on university students’ reading habit.296 valid questionnaires were filled up by college and university students in Pakistan. The res...
School Improvement in Ghana: Strategies Adopted by Heads of Junior High Schools in the Sekondi-Takoradi Metropolis, Ghana
The purpose of the study was to examine the strategies adopted by school heads in public junior high schools in the Sekondi-Takoradi metropolis, Ghana. Specifically, the study was to identify the predominant change app...
Knowledge Management in the 21st Century: a Librarian’s Perspective
This paper looks at knowledge, knowledge management, stages of knowledge management, knowledge management tools as well as strategies of efficient knowledge management use.The information age has made knowledge the key...