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The DISTRIBUTIVE (not distributed) property is a property of multiplication over addition (OR subtraction). In its simplest form, if x, y and z are three numbers then, according to the distributive property of multiplication over addition, x*(y + z) = x*y + x*z
Because multiplication is distributive over addition.
Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.
Addition is not distrbutive over multiplication. In general,a + (b*c) ≠(a+b)*(a+c) [unless a+b+c = 1]
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