Changes

*The "[[rational number]]s", or [[fraction]]s, like 355/113

*The "[[rational number]]s", or [[fraction]]s, like 355/113

*The "real numbers", including irrational numbers

*The "real numbers", including irrational numbers

*The "[[complex number]]s, which give solutions to polynomial equations

*The "[[complex number]]s", which give solutions to polynomial equations

Real numbers are typically represented by a decimal (or any other base) representation, as in 3.1416.  It can be shown that any decimal representation that either terminates or gets into an endless repeating pattern is rational.  The other numbers are real numbers that are ''irrational''.  Examples are <math>\sqrt{10} = 3.162277660168...\,</math> and <math>\pi = 3.1415926535...\,</math>.  These decimal representations neither repeat nor terminate.

Real numbers are typically represented by a decimal (or any other base) representation, as in 3.1416.  It can be shown that any decimal representation that either terminates or gets into an endless repeating pattern is rational.  The other numbers are real numbers that are ''irrational''.  Examples are <math>\sqrt{10} = 3.162277660168...\,</math> and <math>\pi = 3.1415926535...\,</math>.  These decimal representations neither repeat nor terminate.