Is “Halving” a Scrabble word?

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Yes
HALVING
Valid in at least one Scrabble dictionary

Valid in these dictionaries

SOWPODS / CSW
Scrabble UK & International
Valid
TWL / NWL
Scrabble North America
Valid
Large English Dictionary
General English word list
Invalid

Meaning of Halving

verb
  1. 1.To reduce to half the original amount.

  2. 2.To divide into two halves.

  3. 3.To make up half of.

Synonyms: dichotomize, dimidiate

noun
  1. 1.The process or instance of dividing in half.

    There are several recursion theorems for large sets, such that a single new halving results in several new infinite families of halvings.