Category:Rational Numbers
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This category contains results about Rational Numbers.
Definitions specific to this category can be found in Definitions/Rational Numbers.
A number in the form $\dfrac p q$, where both $p$ and $q$ are integers ($q$ non-zero), is called a rational number.
The set of all rational numbers is usually denoted $\Q$.
Thus:
- $\Q = \set {\dfrac p q: p \in \Z, q \in \Z_{\ne 0} }$
Subcategories
This category has the following 21 subcategories, out of 21 total.
C
D
E
- Examples of Rational Numbers (1 P)
F
G
I
- Integer Reciprocal Space (13 P)
N
R
- Rational Division (2 P)
- Rational Lattice Points (empty)
- Rational Subtraction (1 P)
Pages in category "Rational Numbers"
The following 60 pages are in this category, out of 60 total.
C
F
I
O
P
R
- Rational Number can be Expressed as Simple Finite Continued Fraction
- Rational Number is Algebraic
- Rational Number is Algebraic of Degree 1
- Rational Number plus Irrational Number is Irrational
- Rational Numbers and Simple Finite Continued Fractions are Equivalent
- Rational Numbers are Countably Infinite
- Rational Numbers are Densely Ordered
- Rational Numbers are not Connected
- Rational Numbers are not Discrete Space
- Rational Numbers are Totally Disconnected
- Rational Numbers are Well-Orderable
- Rational Numbers form F-Sigma Set in Reals
- Rational Numbers form Field
- Rational Numbers form Integral Domain
- Rational Numbers form Metric Space
- Rational Numbers form Ordered Integral Domain
- Rational Numbers form Prime Field
- Rational Numbers form Ring
- Rational Numbers form Subfield of Complex Numbers
- Rational Numbers form Subfield of Real Numbers
- Rational Numbers form Subset of Real Numbers
- Rational Numbers form Totally Ordered Field
- Rational Numbers form Vector Space
- Rational Numbers whose Denominators are not Divisible by 4 do not form Ring
- Rational Numbers with Denominator Power of Two form Integral Domain
- Rational Square Root of Integer is Integer
- Real Number is not necessarily Rational Number
- Ring Monomorphism from Integers to Rationals
S
- Set of Rational Numbers is not Closed in Reals
- Set of Rational Numbers is not G-Delta Set in Reals
- Set of Rational Numbers Strictly between Zero and One has no Greatest or Least Element
- Set of Rationals Greater than Root 2 has no Smallest Element
- Set of Rationals Less than Root 2 has no Greatest Element
- Simple Finite Continued Fraction has Rational Value
- Smallest Strictly Positive Rational Number does not Exist