The distributive property of multiplication over addition states that
a*(b + c) = a*b + a*c
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Commutative: a × b = b × a Associative: (a × b) × c = a × (b × c) Distributive: a × (b + c) = a × b + a × c
Numbers do not have a distributive property. The distributive property is an attribute of one arithmetical operation over another. The main example is the distributive property of multiplication over addition.
The distributive property of multiplication OVER addition (or subtraction) states that a*(b + c) = a*b + a*c Thus, multiplication can be "distributed" over the numbers that are inside the brackets.
distributive property
The distributive property of multiplication over addition states that a*(b + c) = a*b + a*c that is, the multiplication of the bracket by a can be distributed over the elements inside the bracket.