Shared Flashcard Set

Details

algebra
properties
26
Mathematics
9th Grade
10/20/2010
Click here to study/print these flashcards.

Create your own flash cards! Sign up here.

Additional Mathematics Flashcards

 

 

Cards

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
Supporting users have an ad free experience!