Fundamentals of Data Representation

• What is the set of natural numbers represented by?

  ℕ
• What do natural numbers include?

  All positive whole numbers and zero
• How can natural numbers be used in real life?

  To count items like keyboards or printers
• What is the set of integers represented by?

  ℤ
• What do integers include?

  Whole numbers, both positive and negative
• What are rational numbers also called?

  Quotients
• What defines a rational number?

  Can be written as a fraction of two numbers
• Which of the following is a rational number?

  4.5
• What is the symbol for rational numbers?

  ℚ
• What are ordinal numbers used for?

  To describe numerical positions of objects
• How are arrays indexed?

  Using ordinal numbers starting from 0
• What is the difference between counting and measuring?

  • Counting: Use natural numbers (ℕ)
  • Measuring: Use real numbers (ℝ)
• What are irrational numbers?

  Numbers that cannot be written as fractions
• Give an example of an irrational number.

  π

  
• What is the symbol for real numbers?

  ℝ
• What do real numbers include?

  All possible real-world quantities
• How do real numbers relate to other number sets?

  They include natural, integers, and rational numbers