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properties
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10
Mathematics
7th Grade
08/29/2012

Additional Mathematics Flashcards

 


 

Cards

Term
Additive Identity Property
Definition
a+0=a

any term added to 0 remains unchanged
Term
Additive Inverse Property
Definition
a+(-a)=0

when opposites are added, the result is always zero
Term
Additive Property of Equality
Definition
If a=b, then a+c=b+c

equality is maintained if you add the same amount to both sides of the equation
Term
Associative Property of Addition
Definition
a+(b+c)=(a+b)+c

if a sum contains terms that are grouped, then the terms can be grouped differently without affecting the result
Term
Commutative Property of Addition and Multiplication
Definition
a+b=b+a
ab=ba

if two terms are added or multiplied, the order is reversible
Term
Multiplicative Identity Property
Definition
a*1=a

any term multiplied by one remains unchanged
Term
Multiplicative Inverse Property
Definition
(a/b)*(b/a)=1

when multiplying a term by its reciprocal, the result is always one
Term
Multiplicative Property of Equality
Definition
If a=b, then a*c=b*c

equality is maintained if you multiply both sides of an equation by the same amount
Term
Associative Property of Multiplication
Definition
a*(b*c)=(a*b)*c

if a product contains factors that are grouped, then the factors can be grouped differently without affecting the result.
Term
Transitive Property of Equality
Definition
If a=b and b=c, then a=c

if two terms (a and c) are both equal to a third term (b), then they must be equal to each other
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