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Section 1.3 Chapter 1 Summary

Subsection Important Definitions

Subsection Important Number Systems and Their Properties

  • The natural numbers, N; the integers, Z; the rational numbers, Q and the real numbers, R. See Closure Properties of Number Systems

  • Closure Properites of the Number Systems.
    Number System Closed Under
    Natural Numbers, N addition and multiplication
    Integers, Z addition, subtraction, and multiplication
    Rational Numbers, Q addition, subtraction, multiplication, and
    division by nonzero rational numbers
    Real Numbers, R addition, subtraction, multiplication, and
    division by nonzero real numbers
  • Inverse, communtative, associative, and distributive properties of the real numbers. See Properties of Number Systems.

Subsection Important Theorems and Results