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Distributive

Distributivity is the property of a multiplication * satisfying both the right and left distributive laws. A multiplication is said to be right distributive if

(x+y)z=xz+yz

for every x, y, and z. Similarly, it is said to be left distributive if

z(x+y)=zx+zy

for every x, y, and z.

For example, the real numbers R are distributive.

See also

Associative, Commutative, Interval Arithmetic, Transitive Explore this topic in the MathWorld classroom

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More things to try:

  • prime factorization
  • (x + y) z - (x z - y z)
  • {12, 20} . {16, -5}

References

Schafer, R. D. An Introduction to Nonassociative Algebras. New York: Dover, p. 1, 1996.

Referenced on Wolfram|Alpha

Distributive

Cite this as:

Weisstein, Eric W. "Distributive." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Distributive.html

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