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Properties in math.

Reflexive

a=a

Symmetric

If a=b then b=a

Transitive

If a=b and b=c then c=a

Distributive Property

a(b+c)=ab+ac and (a+b)c=ac+bc

Inverse Property of Multiplication

a1/a=1 and 1/aa=1

Inverse Property of Addition

a+(-a)=0 and (-a)+a=0

Identity Property of Multiplication

a1=a and 1a=a

Identity Property of Addition

a+0=a and 0+a=a

Associative Property of Addition

(a+b)+c=a+(b+c) grouping changes

Associative Property of Multiplication

(ab)c=a(bc) Grouping Changes

Commutative Property of Addition

a+b=b+a order changes

Commutative Property of Multiplication

ab=ba order changes

Closure Property of Multiplication

a*b is a unique real number (one number)

Closure Property of Addition

a+b is a unique real number (one number)

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