Term
|
Definition
|
|
Term
|
Definition
|
|
Term
Commutative Property of Addition |
|
Definition
|
|
Term
Associative Property of Addition |
|
Definition
a + (b + c) = (a + b) + c |
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
Reflexive Property of Equality |
|
Definition
|
|
Term
Transitive Property of Equality |
|
Definition
if a = b and b = c, then a = c |
|
|
Term
Symmetric Property of Equality |
|
Definition
|
|
Term
|
Definition
for all real numbers, a + b and ab is a unique real number |
|
|
Term
Addition Property of Equality |
|
Definition
if a,b, and c are any real numbers, and a = b, then a + c = b + c |
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
Division Property of Equality |
|
Definition
|
|
Term
Identity Property of Addition |
|
Definition
|
|
Term
Identity Property of Multiplication |
|
Definition
|
|
Term
Multiplication Property of Equality |
|
Definition
if a,b, and c are any real numbers, and a = b, then ac = bc |
|
|
Term
Multiplicative Property of –1 |
|
Definition
|
|
Term
Multiplicative Property of Zero |
|
Definition
|
|
Term
Property of the Opposites of a Sum |
|
Definition
|
|
Term
Property of Opposites in Products |
|
Definition
for all real numbers a(-b) = -ab, (-a)b = -ab and (-a)(-b) = ab |
|
|
Term
Property of the Reciprocal of a Product |
|
Definition
|
|
Term
Property of the Reciprocal of the Opposite of a Number |
|
Definition
|
|
Term
|
Definition
an expression may be replaced by another expression with the same value |
|
|
Term
Subtraction Property of Equality |
|
Definition
if a,b, and c are any real numbers, and a = b, then a - c = b - c |
|
|
Term
Commutative Property of Multiplication |
|
Definition
|
|
Term
Associative Property of Multiplication |
|
Definition
|
|