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# The Internet's Algebra Property Thingy

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### The Internet's Algebra Property Thingy

1. 1. The Internet’s Guide to… Algebra Properties By Ethan Sutherland If a+(-a)=0Then (-a)+a=0?
2. 2. Additive Identify Property a+0=a +0=
3. 3. Additive Inverse Property a+(-a)=0 +(- )=0
4. 4. Multiplicative Identity Property a·1=a ·1=
5. 5. Multiplicative Property of Zero a·0=0 ·0=0
6. 6. Multiplicative Property of -1a·-1=-a -a·-1=a·-1=- - ·-1=
7. 7. Multiplicative Inverse Property a/b·b/a=1 __ · __ =1
8. 8. Commutative Propertya+b=b+a ab=ba+ = + =
9. 9. Associative Property(a+b)+c=a+(b+c) (ab)c=a(bc)( + )+ = +( + ) ( ) = ( )
10. 10. Distributive Propertya(b+c)=ab+aca(b-c)=ab-ac( + )= +( - )= -
11. 11. Symmetric Propertya=b, b=c, a=c= , = , =
12. 12. Reflexive Property a=a =
13. 13. Transitive Propertya=b, b=a= =
14. 14. Addition Property of Equality a+c=b+c + = +
15. 15. Subtraction Property of Equality a-c=b-c - = -
16. 16. Multiplication Property of Equality ac=bc =
17. 17. Division Property of Equality a/c=b/c c≠0__ = __ ≠0