Term
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Definition
Definition: "whole" or counting numbers that can be expressed without a fraction.
Additional info:
- Mathematical notation: Z (from the German word for numbers, zahlen).
- A subset of rational numbers: Z ∈ Q
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Term
Rational Numbers
Definition |
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Definition
Definition: numbers that can be expressed as the ratio of two integers p and q: i.e., as a fraction p/q.
Additional info:
- Mathematical notation: Q (from the Italian word for quotient, quoziente).
- A subset of real numbers: Q ∈ R.
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Term
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Definition
Definition: continuous numbers that can represent a distance along a line, called the real line.
Additional info:
- Includes integers (Z), rational numbers Q (numbers of form (p/q), and irrational numbers that cannot be expressed as the ratio of two integers.
- In set notation: Z ∈ Q ∈ R.
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Term
Irrational Numbers
Definition |
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Definition
Definition: real numbers that cannot be expressed as the ratio or fraction of two integers p and q.
Additional info:
- Mathematical notation: R\Q, read as "the real numbers excluding all rational numbers."
- Examples: π, e, √2, ...
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