RATIONAL NUMBERS: PROPERTIES, APPLICATIONS, AND IMPORTANCE IN MATHEMATICS
Keywords:
Rational numbers, integers, fractions, mathematics, real numbers, number theory.Abstract
Rational numbers play a fundamental role in mathematics as they form
the bridge between whole numbers and real numbers. They are defined as numbers that
can be expressed as the quotient of two integers, where the denominator is not zero.
This article explores the definition, history, properties, classification, and applications
of rational numbers, while also examining their role in everyday life and mathematical
problem-solving. The importance of rational numbers lies not only in theoretical
mathematics but also in their practical applications, ranging from financial calculations
to scientific measurements. This paper also provides an overview of the relationship
between rational and irrational numbers, emphasizing their collective role in forming
the set of real numbers.
References
1. Burton, D. M. (2011). “Elementary Number Theory”. McGraw-Hill.
2. Niven, I., Zuckerman, H. S., & Montgomery, H. L. (1991). “An Introduction to the
Theory of Numbers”. Wiley.
3. Stillwell, J. (2010). “Mathematics and Its History”. Springer.
4. Courant, R., & Robbins, H. (1996). “What is Mathematics?” Oxford University
Press.
5. Stewart, I. (2013). “Concepts of Modern Mathematics”. Dover Publications.
