Axioms, Properties and Definitions of Real Numbers

Axioms, Properties and Definitions of Real Numbers

 

 

Definitions

 

1.Property of a number system–a fact that is true regarding that system

 

2.Axiom–a property that forms the framework for the system. It does not require any proof. We assume that it is true.

 

   3.Term–a combination of numbers and variables that are multiplied together.

 

4.Like terms–two or more terms that have the identical variables raised to the same power(s).

 

 5.Coefficient–the number multiplying a variable in a term.If there is no written number, it is assumed to be 1.

 

  6.Expression–a combination of terms added together

 

7.Equation–A combination of terms added together that contains an equal sign

 

  8.Inequality–A combination of terms added together that contains an greater than, less than, greater than or equal to, less than or equal  to.

 

9.Factor–a combination of numbers and variables that divides into a term evenly.

 

10.Common Factor–a combination of numbers and variables that is a factor of each in an expression