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Propeties
Algebra 1 Chapter 2 Properties
| Question | Answer |
|---|---|
| a+(-a)=0 and (-a)+a=0 | Property of Opposites |
| a+b=b+a | Communicative Property of Addition |
| ab=ba | Communicative Property of Multiplication |
| (a+b)+c=a+(b+c) | Associative Property of Addition |
| (ab)c=a(bc) | Associative Property of Multiplication |
| a=a | Reflexive Property of Equality |
| a=b, then b=a | Symmetric Property of Equality |
| a=b and b=c, then a=c | Transitive Property of Equality |
| a+0=a and 0+a=a | Identity Property of Addition |
| -(a+b)=(-a)+(-b) | Property of the Opposite of a Sum |
| a-b=a+(-b) | Definition of Subtraction |
| a(b+c)=ab+ac and (b=c)a=ba+ca | Distributive Property(of multiplication with respect to Addition |
| a(-c)=ab-ac and (b-c)a+ba-ca | Distributive Property(of Multiplication with respect to subtraction |
| a x 1=a | Identity Property of Multiplication |
| a x 0=0 | Multiplicative Property of Zero |
| a(-1)=-a and (-1)a=-a | Multiplicative Property of -1 |
| (-a)(b)=-ab a(-b)=-ab (-a)(-b)=ab | Property of Opposites in Products |
| 1/-a=-1/a | Property of the Reciprocals of the opposite of a Number |
| a x 1/a=1 and 1/a x =1 | Property of Reciprocals |
| 1/ab=1/a x 1/b | Property of the Reciprocals of a Product |
| a/b=a x 1/b | Definition of Division |
Created by:
ekbe3
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