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Unformatted text preview: 9-30-02 2.1 Basic Assumptions, 2.2/2.3 addtion of real numbers 2.1 Basic Assumptions 1. closuer property a. a+b is a unique real # b. ab is a unique real # c. -> only 1 possiable answer 2. commutative property a. a+b=b+a b. ab=ba 3. associative property a. grouping can change b. (a+b)+c=a+(b+c) c. (ab)c=a(bc) 4. proprieties of equality a. refiltive property i. a=a ii. everything = itself b. symmetric property i. if a=b b=a u can flip the sides c. transitive property i. if a=b + b=c, a=c 5. combining variables a. (4a)(6b)=24ab, comutive +assoctiave b. 3a+4b+2+5=3a+4b+7 2.2/2.3 addtion of real numbers identey property for add: a+0=a anything +0 = itself property of oppisist a-a= 0 anything minus itself is 0 property of the oppsit of the sum -(a+b)=-a+-b the negative of 2 real num sum is the same as adding those 2 real num as negative rules for addition Problem P+p N+N P+N N+P Obeation add Add >Subtract Sign of sum P N Singe of larger vaule ...
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This note was uploaded on 04/08/2009 for the course MATH PreCalc taught by Professor Ms.kirson during the Fall '02 term at Yeshiva.
- Fall '02
- Real Numbers