Commutative, Associative, and Distributive Properties- SOS Student Algebra 1 [A(B + C) = ab + ac]

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

Associative property of addition

(a • b) • c = a • (b • c)

Associative property of multiplication

a + b = b + a

Commutative property of addition

a • b = b • a

Commutative property of multiplication

a(b + c) = ab + ac

Distributive property of multiplication - over addition

a(b - c) = ab - ac

Distributive property of multiplication - over subtraction

a + 0 = a

Identity property of addition

a + (-a) = 0

Inverse property of addition

a • (1/a) = 1

Inverse property of multiplication

a • 1 = a

identity property of multiplication


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