# Distributiveness

## distributive

[dih-strib-yuh-tiv]
1.
serving to distribute, assign, allot, or divide; characterized by or pertaining to distribution.
2.
Grammar. referring to the members of a group individually, as the adjectives each and every.
3.
Logic. (of a term) distributed in a given proposition.
4.
Mathematics.
a.
(of a binary operation) having the property that terms in an expression may be expanded in a particular way to form an equivalent expression, as a (b + c ) = ab + ac.
b.
having reference to this property: distributive law for multiplication over addition.
c.
(of a lattice) having the property that for any three elements, the intersection of the first element with the union of the others is equal to the intersection of the first element with each of the others.
noun
5.
a distributive word or expression.

Origin:
1425–75; late Middle English distributif < Middle French < Late Latin distribūtīvus (see distribute, -ive)

distributiveness, noun
nondistributiveness, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
Cite This Source Link To distributiveness
Collins
World English Dictionary
 distributive (dɪˈstrɪbjʊtɪv) —adj 1. characterized by or relating to distribution 2. grammar referring separately to the individual people or items in a group, as the words each and every —n 3. grammar a distributive word 4. maths able to be distributed:: multiplication is distributive over addition dis'tributively —adv dis'tributiveness —n

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
Cite This Source
American Heritage
Science Dictionary
 distributive  [%PREMIUM_LINK%]     (dĭ-strĭb'yə-tĭv)  Pronunciation Key  Relating to the property of multiplication over division which states that applying multiplication to a set of quantities that are combined by addition yields the same result as applying multiplication to each quantity individually and then adding those results together. Thus 2 × (3 + 4) is equal to (2 × 3) + (2 × 4). See also associative, commutative.
The American Heritage® Science Dictionary