Abstract
This chapter discusses the properties of real number system. The rational and irrational numbers together comprise the real number system. Rational numbers are numbers that can be written as a ratio of two integers. The rational number system is inadequate for mature uses of mathematics as there exist numbers which are not rational, that is, these numbers cannot be written as the ratio of two integers. These are called irrational numbers. In multiplying two real numbers, each of the numbers is called a factor and the result is called the product. It is presented that the product of a real number and its reciprocal is always equal to 1. The number 0 does not have a reciprocal as the product of 0 and any number is 0. The real numbers obey laws that enable one to manipulate algebraic expressions with ease, such as commutative law of addition and commutative law of multiplication.
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