The following are two possible breakdowns. Positive, zero and negative.
Integer, fraction and mixed.
The set of real numbers can be divided into rational numbers and irrational numbers.
Natural numbers Integers Rational numbers Real numbers Complex numbers
All rational numbers including integers can be be expressed as fractions whereas irrational numbers can't be converted into fractions
There is only one type of rational number so there are no different types which you can add.
You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.
The set of real numbers can be divided into rational numbers and irrational numbers.
Natural numbers Integers Rational numbers Real numbers Complex numbers
All rational numbers including integers can be be expressed as fractions whereas irrational numbers can't be converted into fractions
There is only one type of rational number so there are no different types which you can add.
Integers are a subset of rational numbers which are a subset of real numbers which are a subset of complex numbers ...
That they can be converted into fractions
You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.
In their rational form, the denominators have factors other than 2 and 5.
There are infinitely many rational numbers between any two consecutive rational numbers. This is because rational numbers can be expressed as fractions, and between any two fractions, an infinite number of other fractions can be found by taking the average of the two given fractions. Therefore, the set of rational numbers is dense, meaning there is no smallest gap between any two rational numbers.
If there are no numbers after the 9 it is rational
There are integers such as 0 and 1. Then there are non-integer rational and real numbers.
No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.