Define the Following Algebraic Postulates Flashcards

Postulate cards for test

17 cards   |   Total Attempts: 183
  

Cards In This Set

Front Back
Additive identity
X+0=X
Additive inverse
X+(-X)=0
Multiplicative identity
X*1=X
Multiplicative inverse
X*1/X=1
Commutative property of addition or multiplication
CHANGING THE ORDERa*b=b*a or a+b=b+a
Associative property of addition or multiplication
REGROUPING (a+b)+c=a+(b+c) or (a*b)*c=a(b*c)
Distributative property of addition or multiplication
A(b+c)=ab+ac
Definition of subtraction
A-b=a+(-b)
Definition of division
A/b=a*1/b
Zero property of smultiplication
X*0=0
Reflexive property of =
X=X
Symmetric property of =
If a=b then b=a
Transitive property of =
If a=b and b=c then a=c
Substitution princopal of =
If a=b then (a) can be replaced by (b)
Addition/subtraction property of =
If a=b then a+c=b+cif a=b then a-c=b-c