University:
College
Course:
College Mathematics
Academic year:

2023
Views:

153

Pages:

2
Author:

J. Lay

Properties of Algebra * Properties of Addition and Multiplication For any real numbers a,b and C: Property Deffinition For Addition Deffinition For Multiplication Closure Property atb is areal Number 9.b is a real number Identy Property 9.1: 1.a.a Inverse Property a+(-a)= (-a) + a = 0 For a≠0, 4.-6.9=1 Comm utative Property a+b = b ta a. b. b. a Asso Ciative Property (a+b)+c = a+(b+c) (a.b). Ca.(b.c) Distributive Property alb+c)=(a.b)+(a.c) * Properties of Zero For any real number a: Multiplication by o 9.00.90 • Devided by Something Division by O for a 40,=01 a a is ude fined Cevenis a = 0) * Operational Properties of Equality For any real number a, b and C: Property Definition Addition Property Ifa-b, then at c = b+c Subtraction property IFa-b, then a-c=b-c Multi Plication Property If a=b, then a.c=b.c Division Property If a-bandc≠0, then a=b+c * order Properties of Equality Property Definition Reflexive Property a = a Symmetric Property Transitive Property Substitution Property Ifab, then b=a9 IF a, b and b=c, then a=C IFab, then either Can be Substituted For the other in any equation (or inequality).