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Memo

Properties of Real Numbers

Real numbers have certain properties when it comes to operations, identities, and equalities.

Operations
Name	Property
Distributive Property
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication

Identities
Name	Property
Additive Identity
Multiplicative Identity

Equalities
Name	Property
Addition Property of Equality	If then
Subtraction Property of Equality	If then
Multiplication Property of Equality	If then
Division Property of Equality	If then
Reflexive Property of Equality	Any real number is equal to itself
Symmetric Property of Equality	If then
Transitive Property of Equality	If and then

Closure Property of Real Numbers
	Closed Under Addition
	Closed Under Subtraction
	Closed Under Multiplication
	Not Closed Under Division

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