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a + b = b + a 2 + 3 = 3 + 2 2. Commutative Property of Multiplication

a • b = b • a 2 • ( 3 ) = 3 • ( 2 ) 3. Associative Property of Addition

a + ( b + c ) = ( a + b ) + c 2 + ( 3 + 4 ) = ( 2 + 3 ) + 4 4. Associative Property of Multiplication

a • ( b • c ) = ( a • b ) • c 2 • ( 3 • 4 ) = ( 2 • 3 ) • 4 5. Distributive Property

a • ( b + c ) = a • b + a • c 2 • ( 3 + 4 ) = 2 • 3 + 2 • 4 6. Additive Identity Property

a + 0 = a 3 + 0 = 3 7. Multiplicative Identity Property

a • 1 = a 3 • 1 = 3 8. Additive Inverse Property

a + ( -a ) = 0 3 + (-3) = 0 9. Multiplicative Inverse Property

Note: a cannot = 010.Zero Property

a • 0 = 05 • 0 = 0

a + b = b + a

Commutative property of addition

a * b = b* a

Associative property of additiont

a + ( b + c ) = ( a + b ) + c

Associative property of multiplication

a * ( b *c ) = ( a * b ) * c

Distributive property

a * ( b + c ) = a * b + a • c

Additive Indentity property

a + 0 = a

Multiplicative Identity Property

a * 1= a

Additive Inverse Property

a+( -a)= 0

Multiplicative Inverse Property

a* ( 1/ a) =1

Zero Property

a*0 = 0