**Mul`ti*pli*ca"tion** (?), n. [L. *multiplicatio*: cf. F. *multiplication*. See Multiply.]

**1.**

The act or process of multiplying, or of increasing in number; the state of being multiplied; as, the **multiplication** of the human species by natural generation.

The increase and **multiplication** of the world.
*Thackeray.*

**2.** Math.

The process of repeating, or adding to itself, any given number or quantity a certain number of times; commonly, the process of ascertaining by a briefer computation the result of such repeated additions; also, the rule by which the operation is performed; -- the reverse of *division*.

⇒ The word *multiplication* is sometimes used in mathematics, particularly in multiple algebra, to denote any distributive operation expressed by one symbol upon any quantity or any thing expressed by another symbol. Corresponding extensions of meaning are given to the words *multiply*, *multiplier*, *multiplicand*, and *product*. Thus, since φ(x + y) = φx + φy (see under Distributive), where φ(x + y), φx, and φy indicate the results of any distributive operation represented by the symbol φ upon x + y, x, and y, severally, then because of many very useful analogies φ(x + y) is called the *product* of φ and x + y, and the operation indicated by φ is called *multiplication*. Cf. Facient, n., 2.

**3.** Bot.

An increase above the normal number of parts, especially of petals; augmentation.

**4.**

The art of increasing gold or silver by magic, -- attributed formerly to the alchemists.

[Obs.]

*Chaucer.*

Multiplication table, a table giving the product of a set of numbers multiplied in some regular way; commonly, a table giving the products of the first ten or twelve numbers multiplied successively by 1, 2, 3, etc., up to 10 or 12.<-- also, times table [used by students] -->

© Webster 1913.