5.1.e – Summary: Classes of Real Numbers

Key Concepts

  • Real numbers
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The Order of Operations

  • Perform all operations within grouping symbols first. Grouping symbols include parentheses ( ), brackets [ ], braces { }, and fraction bars.
  • Evaluate exponents or square roots.
  • Multiply or divide, from left to right.
  • Add or subtract, from left to right.

This order of operations is true for all real numbers.

Glossary:

Irrational number
A number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.
Rational number
A number that can be written in the form [latex]{\Large\frac{p}{q}}[/latex] , where p and q are integers and [latex]q\ne 0[/latex] . Its decimal form stops or repeats.
Real number:
A number that is either rational or irrational.