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    Distributive Property

    Alternate name

    distributive property

    Basic definition

    An operation * is distributive if has the property in multiplication that x*(y + z) = x*y + x*z.

    Detailed definition

    A multiplication * is said to be right distributive if (x + y) z = x z + y z for every x, y, and z. Similarly, it is said to be left distributive if z(x + y) = z x + z y for every x, y, and z. If a multiplication is both right- and left-distributive, it is simply said to be distributive. For example, the real numbers R are distributive.

    Related terms

    associative | commutative | transitive

    Educational grade level

    elementary school level (California grade 5 standard)

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