the internet's algebra property thingy
Post on 29-Nov-2014
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The Internet’s Guide to…Algebra Properties
By Ethan SutherlandIf a+(-a)=0
Then (-a)+a=0?
Additive Identify Property
a+0=a
+0=
Additive Inverse Property
a+(-a)=0
+(-
)=0
Multiplicative Identity Property
a·1=a
·1=
Multiplicative Property of Zero
a·0=0
·0=0
Multiplicative Property of -1
a·-1=-a -a·-1=a
·-1=- - ·-1=
Multiplicative Inverse Property
a/b·b/a=1
__ __· =1
Commutative Property
a+b=b+a ab=ba
+ = + =
Associative Property
(a+b)+c=a+(b+c)(ab)c=a(bc)
( + )+ = +( + )
( ) = ( )
Distributive Property
a(b+c)=ab+aca(b-c)=ab-ac
+(
=
=
(
+)
- ) -
Symmetric Property
a=b, b=c, a=c
= = =,,
Reflexive Property
a=a
=
Transitive Property
a=b, b=a
= =
Addition Property of Equality
a+c=b+c
= ++
Subtraction Property of Equality
a-c=b-c
- = -
Multiplication Property of Equality
ac=bc
=
Division Property of Equality
a/c=b/c c≠0
__ __= ≠0
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