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