Section 1.1 Part II Properties of Numbers, Equality, and Inequality

Commutative Property of Addition:_______________________ Commutative Property of Multiplication:___________________ Associative Property of Addition:______________________ Associative Property of Multiplication:___________________ Distributive Property:______________________ Multiplicative Identity: __ x a = aAdditive Identity: __ + a = a An equation results when ____________________________________________. a+b=b+a ab=ba (a+b)+c=a+(b+c) (ab)c=a(bc) a(b+c)=ab+ac 1 0 an equal sign joins 2 expressions

if a=b, then a+c = b+c if a=b, then a-c =b-c if a=b, then ac = bc If c=o, then the denominator would be zero. You can’t have a zero in the denominator

Less thanGreater than Less than or =Greater than or =

Here are some properties of inequalities: Addition Property of Inequality:__________________________. Subtraction Property of Inequality:__________________________. Multiplication Property of Inequality:__________________________. Division Property of Inequality:__________________________. if a<b, then a+c < b+c if a<b, then a-c <b-c

Comm. Property Multiplication Prop Distributive Prop Associative Prop Addition Prop Division Prop

Example: Give and reason for each step in the solution of. 1. GIVEN 2. _________________ 3. _________________ 4. SIMPLIFYING 5. _________________ 6. _________________ Homework in the packet: Page Even, Even Distributive Associative Addition Prop. Division Prop.