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 230
- Downloads 7
The Classroom Situation: Improving Study Habits of Secondary School Students in Zimbabwe.
In this experiential observation and desktop based paper we argue the case for coming up with a formal study programme for students at secondary school in Zimbabwe. Our experience with students at both secondary school...
Industry-Partners’ Preferences for Graduates: Input On Curriculum Development
This study was conducted in support to the curriculum development of the Lyceum of the Philippines University (LPU) - Batangas. The findings will be used to strengthen its program offerings and ensure its relevance to...
Marking and giving Feedback on Pupils’ Class Assignments in Tanzanian Primary Schools: Implications for Pupils’ Learning
This study examines how teachers mark and comment on pupils’ classwork in Tanzanian rural primary schools. It: examines the primary school teacher certificate and diploma curriculum to identify how these equip student...
Socio-Cultural Factors Contributing To Gender Disparity on Enrolment of Students in Technical Disciplines in Technical Training Institutes in Mt. Kenya Region, Kenya
In recent years, more female students have been enrolling in Kenyan colleges and universities to study technical courses previously dominated by male students but statistics indicate that gender equity is yet to be ach...
Leadership Style and Employees Performance: Evidence from Banking Sector of Pakistan
The objective of the study to observe the relation between leadership styles and employee performance and identify that which style is more effective in increasing employee performance in Pakistani banking sector. A sa...