Real Numbers
anything in Q or I
Real numbers are numeric values that can be expressed as decimal numbers, fractions, or integers. Real numbers are divided into two main categories: rational numbers and irrational numbers.
Rational numbers are those numbers that can be expressed as a ratio of two integers. For example, ½, 0.5, 25/50, and -4/3 are all rational numbers. These numbers are either positive, negative, or zero.
Irrational numbers are numbers that cannot be expressed as a ratio of two integers. They are infinite and non-repeating decimal numbers, such as π, √2, and e. Irrational numbers are also either positive, negative, or zero.
Real numbers also have certain properties, such as the commutative, associative, and distributive properties when it comes to addition and multiplication. Additionally, a real number can be either rational or irrational, but not both at the same time.
Overall, real numbers are the foundation for mathematical concepts and are used in a wide range of mathematical operations, such as geometry, algebra, and calculus.
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