Shared Flashcard Set

algebra
properties
26
Mathematics
9th Grade
10/20/2010

Cards Return to Set Details

Term
 1. Reflexive Property (Refl)
Definition
 a = a.
Term
 Symmetric Property (Sym)
Definition
 If a = b, then b = a
Term
 Transitive Property (Trans)
Definition
 If a = b and b = c, then a = c
Term
 closeure prop of addition
Definition
 a+b is a real number
Term
 closure prop of mult.
Definition
 ab is a real number
Term
 communative prop of addition
Definition
 a+b=b+a
Term
 communattive prop of multiplication
Definition
 ab=ba
Term
 associative prop of addition
Definition
 (a+b)+c=a+(b+c)
Term
 associative prop of mult.
Definition
 (ab)c=a(bc)
Term
 id prop of additon
Definition
 the number 0 is a real number such that a+0=a o+a=a
Term
 id prop of mult.
Definition
 the number 1 is real such that ax1=a 1xa=a
Term
 inverse prop of addition
Definition
 (-a) is a real number such that a+(-a)=0
Term
 inverse prop of mult.
Definition
 1/a is a real number such that a x 1/a=1
Term
 distributive prop
Definition
 a(b+c)=(ab)+(ac)and (a+b)c=ac+bc
Term
 substitution principal
Definition
 in sums and products equals may be substituted for equals
Term
 additive prop of equality
Definition
 if a =b the a+c=b+c
Term
 multiplicative prop of addition
Definition
 if a=b then ac=bc
Term
 cancellation prop of equality for addition
Definition
 if a+c=b+c then a =b
Term
 cancellation prop of equality for mult.
Definition
 ac=bc than a=b
Term
 prop opp of the sum
Definition
 -(a+b)= (-a)+(-b)
Term
 property of the reciporical of the product. For all non zero numbers
Definition
 1/AB=1/Ax1/B
Term
 def prop. -1 sum
Definition
 -a=(-1)a
Term
 property of zero
Definition
 0xA=0
Term
 cancelation prop. of additive inverses
Definition
 (-)-a=a
Term
 def of subtraction.
Definition
 a-b= a+(-b)
Term
 def of division a/b= a x 1/b
Definition
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