Department of Mathematics
On the decimal numbers base n
This paper focuses on the representation of a proper fraction a/b by a decimal number base n where n is any integer greater than 1. The scope is narrowed to look at only fractions where a, b are positive integers with a < b and b not equal to 0 nor equal to 1. Some relationships were found between b and n , which determine whether the representation will become either finite decimal, pure recurring decimal or mixed decimal base n . Three theorems have been proven to indicate the deciding factors and the relationships. In addition, the length of the finite decimal numbers base n was further explored.
Source Publication Title
International Journal of Mathematical Education in Science and Technology
Taylor & Francis
Link to Publisher's Edition
Poon, K., Yeung, K., & Shiu, W. (2005). On the decimal numbers base n. International Journal of Mathematical Education in Science and Technology, 36 (6), 601-605. https://doi.org/10.1080/00207390500064031