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Learning objective

Ordinal numbers: Be familiar with the concept of ordinal numbers and their use to describe the numerical positions of objects. When objects are placed in order, ordinal numbers are used to tell their position. For example, if we have a well-ordered set S = {‘a’, ‘b’, ‘c’, ‘d’}, then ‘a’ is the 1st object, ‘b’ the 2nd, and so on.

Read the explanation, check the common trap, then practise with flashcards and questions.

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Topic

Number systems

Subtopic

Ordinal numbers

Aqa A Level Computer ScienceFundamentals of data representation

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Quick explanation

Ordinal numbers: Be familiar with the concept of ordinal numbers and their use to describe the numerical positions of objects. When objects are placed in order, ordinal numbers are used to tell their position. For example, if we have a well-ordered set S = {‘a’, ‘b’, ‘c’, ‘d’}, then ‘a’ is the 1st object, ‘b’ the 2nd, and so on

  • This point belongs to Number systems, especially Ordinal numbers.
  • You need to be able to ordinal numbers: Be familiar with the concept of ordinal numbers and their use to describe the numerical positions of objects. When objects are placed in order, ordinal numbers are used to tell their position. For example, if we have a well-ordered set S = {‘a’, ‘b’, ‘c’, ‘d’}, then ‘a’ is the 1st object, ‘b’ the 2nd, and so on.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Why it matters

This objective helps connect Ordinal numbers to exam-style questions, flashcards, and revision notes for Number systems.

Quick student answer

The objects in the ordered set S = {"red", "blue", "green", "yellow"} are written from left to right. What is the ordinal position of "green"?

Direct answer

The ordinal position of "green" is 3rd.

Key terms

  • Ordinal number: A number that describes the numerical position of an object in an ordered arrangement.
  • Well-ordered set: A set whose objects have been placed in a definite order, allowing their positions to be described using ordinal numbers.

Common trap

Swapping adjacent positions: Read the set from the beginning and count each object carefully, assigning positions in sequence: 1st, 2nd, 3rd, 4th.

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