1.2.4

Sets Numbers

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What are the Standard Sets of Numbers?

The standard sets of numbers are the sets of numbers most commonly used to investigate expressions, functions and sequences.

Illustrative background for What is the set of natural numbers?Illustrative background for What is the set of natural numbers? ?? "content

What is the set of natural numbers?

  • Natural numbers are the counting numbers like 1, 2, 3, 4, ... and so on.
    • They are also known as whole numbers.
  • The set of natural numbers is written with the symbol .
    • If a number nn is a natural number, we write nn\in
Illustrative background for What is the set of integers?Illustrative background for What is the set of integers? ?? "content

What is the set of integers?

  • The set of all integers is written with the symbol .
    • If a number nn is an integer, we write nn\in .
  • The set of all positive integers as the symbol +.
  • The set of all positive integers including zero as the symbol 0+{}^{+}_{0}.
Illustrative background for What is the set of rational numbers?Illustrative background for What is the set of rational numbers? ?? "content

What is the set of rational numbers?

  • The set of all rational numbers is written with the symbol .
    • If a number nn is a rational number, we write nn\in .
  • We can also define this set using a rule:
    • = { pq:p\frac{p}{q}:p\in\, ,q,q\in\,+}
Illustrative background for What is the set of real numbers?Illustrative background for What is the set of real numbers? ?? "content

What is the set of real numbers?

  • The set of real numbers is written with the symbol .
    • If a number nn is a real number, we write nn\in .

Jump to other topics

1Proof

2Algebra & Functions

2.1Powers & Roots

2.2Quadratic Equations

2.3Inequalities

2.4Polynomials

2.5Graphs

2.6Functions

2.7Transformation of Graphs

2.8Partial Fractions (A2 Only)

3Coordinate Geometry

4Sequences & Series

5Trigonometry

6Exponentials & Logarithms

7Differentiation

8Integration

9Numerical Methods

10Vectors

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