The Theory of Functions of a Real Variable and the Theory of

real number  Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers In other words, any number that we can think of, Real Numbers: Any number that can be plotted on a number line · Rational Numbers: Any number that can be written as a fraction, including repeating decimals

The irrational numbers are any real numbers that can not be represented as the ratio of two integers The numbers usually are imperfect roots  Basic Properties of the Real Numbers The real numbers behave like other numbers that we are used to dealing with We can add, subtract,

Real R R · Includes all numbers on the number line ; Rational Q Q · All real numbers which can be expressed as a fraction, pq p q where p p and q q are integers Numbers including both rational and irrational numbers are known as the real type of number system Some of the examples for the same are -,