I'm writing a program with a numeric parser. The operations involved are multiplying, dividing, squaring, and cubing.

In order to define what kind of objects can be multiplied, divided, etc with what, I'm trying to name classes that define these relationships. Currently, I have MultiplicativeRelationship, CubicRelationship, QuadraticRelationship... and a divivitive relationship?

I can't think of a word that means 'of or relating to division'!

Divisible is the first word that comes to mind, but this can't be right because the relationship itself isn't divisible. The relationship describes other things that are divisible, making it a ________ relationship.

In short:
Multiplication is to Multiplicative as Division is to ________


  • 2
    Perhaps fractional. – jxh Dec 29 '16 at 18:59
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    Isn't that still called multiplicative? – alwayslearning Jan 28 '17 at 8:20
  • Divisional exists, but it relates to a division of an organization, not to the mathematical operation: en.oxforddictionaries.com/definition/divisional – jejorda2 Mar 29 '17 at 13:25
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    Per the OED, it would be divisive. Multiplicative: "Tending to multiply or increase; having the quality or function of multiplying." Divisive: "Having the quality or function of dividing; causing or expressing division or distribution; making or perceiving distinctions, analytical." – 1006a Mar 29 '17 at 14:16
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    I disagree with this being off topic. The author came across an issue while programming, but the issue isn't related to programming per se. – jimm101 Nov 26 '17 at 15:17

Although I'd love the answer to be 'divisive', I'm not sure there's a direct equivalent. In mathematics we speak of the 'multiplicative inverse' which is too much of a mouthful for your purposes. The term 'reciprocal' can be used to mean the same thing, but doesn't fit your pattern.

(You could try asking over at the SE Maths site.)


I would propose


because multiplicative is an adjective meaning

Tending to multiply or capable of multiplying (American Heritage)

Compare this with the definition of divisible:

Capable of being divided (American Heritage)

  • One could say "multiplication : multiplicative :: division : divisive, but this is simply a case of analogy of spelling, and doesn't take into account the differences in meaning of the words. – tautophile Jun 24 '18 at 15:38

multiplicative: tending or having the power to multiply.

additive: of, relating to, or characterized by addition.

subtractive: tending to subtract


divisitive should be tending to division. Yes, this word does not exist in any of the standard (or auxiliary) dictionaries. If you use it, there is no harm. Few authors have already used it in their respective books.

Citation 1: Handbook of Research on Mathematics Teaching and Learning by Douglas A. Grouws

Situations must be developed in which children systematically build their understanding of principles that underlie the invariance and the compensation for variation within additive, subtractive, multiplicative and divisitive relations and operations.

Citation 2: Handbook of Research on Software Engineering and Productivity Technologies by by Ramachandran, Muthu [Leeds Metropolitian Univeristy, UK]

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