There are infinitely many types.
At the broadest levels, there are integers, fractions and mixed fractions (or mixed numbers)..Another way of dividing them is negative, zero and positive.
Within positive integers there are odds and evens, as well as primes and composites.
Within fractions, there are unit fractions and other fractions.
At more details, there are many, many more types.
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There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
Any rational or irrational is real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Yes it is. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
It is a decimal representation of a negative rational number. It also belongs to any superset that contains the set of negative rational numbers.
There are countably infinite rational numbers between any two numbers.