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A comprehensive overview of the set of real numbers, which encompasses both rational and irrational numbers. It explains the key characteristics of real numbers, including their representation on the number line and the ability to perform arithmetic operations on them. The document also differentiates real numbers from imaginary numbers, which are used to represent complex numbers. Additionally, it introduces the concept of absolute value, which is the non-negative value of a real number regardless of its sign. This information can be valuable for students studying mathematics, particularly in areas such as algebra, calculus, and number theory. The document could serve as a useful reference or supplementary material for university-level courses in these subjects.
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Real numbers are simply the combination of rational and irrational numbers, in the number system. In general, all the arithmetic operations can be performed on these numbers and they can be represented in the number line, also. At the same time, the imaginary numbers are the un-real numbers, which cannot be expressed in the number line and is commonly used to represent a complex number.
The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.