Rational number
In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator p and a nonzero denominator q.
At a glance
Key signals
0% cross fields · reaches 0 more
- Mathematics
- Arithmetic
- Explanation
- Examples
- Misconception
- Sourced relations 3
- Attribution
Dependencies
What this concept builds on and what it makes possible — derived from the atlas’s dependency, causal and structural relations, not from every related edge.
System context
Rational numberis aReal numberEstablished
rational number is a kind of real number.
Mechanism: A rational number is a real number that can be written as a ratio of two integers, sitting exactly on the number line.
- Wikidata verifiedmoderate evidence
Fractionis aRational numberEstablished
fraction is a kind of rational number.
Mechanism: A fraction is a rational number written as one integer over another; every fraction names a ratio of whole numbers.
- Wikidata verifiedmoderate evidence
Integeris aRational numberEstablished
integer is a kind of rational number.
Mechanism: Every integer is a rational number: a whole number is simply the ratio of itself over one.
- Wikipedia (English & German editions) verifiedmoderate evidence
Structural role & consequence
Interpreted from the current atlas graph — what the connections mean, not just how many there are.
Currently dark in the atlas: no key date stored · 3 of 3 of its relations lack claim-level evidence.
atlas representation · Describes the current Thinking OS representation, not the state of the world.
Structural neighbourhood: 3 → 10 → 16 concepts reachable within 3 hops.
structural · Structural reach — being reachable is not the same as being understood.
All 3 of its relationships stay within its own discipline — a field-specific concept in the current atlas.
structural · Structural graph analysis — not a claim of importance, causation or history.
cross-field
3 within-field, 0 cross-field
Strengths & constraints
Constraints
- Evidence coverage currently thin in the atlas — few of its relationships carry claim-level evidence. atlas representation
- No dated history stored — the atlas records no key date for this concept. atlas representation
Conditions
- Read structurally — most of its relationships carry no external evidence yet, so claims here are graph-derived. structural
Seen through each discipline
How this concept sits in each of its fields — derived from its real connections in the graph, not asserted.
Through this lens it connects to Real number, Integer and Fraction.
Through this lens it connects to Real number, Integer and Fraction.
Formula
Source: Wikidata
Related ideas to explore
Concepts that look related but are not yet connected here — candidates for a connection to reason about, not established links.
- Connects 3 other ideas across 2 disciplines.
- Most of its connections are of the “Kind & structure” kind.
Derived from the graph’s real structure — observations, not a score.
Sources
- Wikipedia (English & German editions) verifiedmoderate evidence
- Wikidata verifiedmoderate evidence