16 results for: multiplication

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Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This

mul·ti·pli·ca·tion

Audio Help [muhl-tuh-pli-key-shuh

n] Pronunciation Key

–noun

1.	the act or process of multiplying or the state of being multiplied.

Arithmetic. a mathematical operation, symbolized by a × b, a · b, a ∗ b, or ab, and signifying, when a and b are positive integers, that a is to be added to itself as many times as there are units in b; the addition of a number to itself as often as is indicated by another number, as in 2×3 or 5×10.

3.	Mathematics. any generalization of this operation applicable to numbers other than integers, as fractions or irrational numbers.

[Origin: 1350–1400; ME multiplicacio(u)n < L multiplicātiōn- (s. of multiplicātiō). See multi-, plication

]

—Related forms

mul·ti·pli·ca·tion·al, adjective

Dictionary.com Unabridged (v 1.1)
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006.

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American Heritage Dictionary - Cite This Source - Share This

mul·ti·pli·ca·tion Audio Help (mŭl'tə-plĭ-kā'shən) Pronunciation Key
n.

The act or process of multiplying or the condition of being multiplied.
Propagation of plants and animals; procreation.
Mathematics
1. The operation that, for positive integers, consists of adding a number (the multiplicand) to itself a certain number of times. The operation is extended to other real numbers according to the rules governing the multiplicational properties of positive integers.
2. Any of certain analogous operations involving expressions other than real numbers.

mul'ti·pli·ca'tion·al adj.

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The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2006 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.

Online Etymology Dictionary - Cite This Source - Share This
multiplication

c.1384, from Fr. multiplication (12c.), from L. multiplicationem, noun of action from multiplicare (see multiply). Mathematical sense is attested from 1390.

WordNet - Cite This Source - Share This

multiplication
noun
1.	the act of producing offspring or multiplying by such production [syn: generation]
2.	a multiplicative increase; "repeated copying leads to a multiplication of errors"; "this multiplication of cells is a natural correlate of growth"
3.	an arithmetic operation that is the inverse of division; the product of two numbers is computed; "the multiplication of four by three gives twelve"; "four times three equals twelve"

Kernerman English Multilingual Dictionary (Beta Version) - Cite This Source - Share This
ˌmultipliˈcation [-pli-] noun

the act of multiplying numbers

Arabic:	تَكاثُر
Chinese (Simplified):	乘
Chinese (Traditional):	乘法
Czech:	násobení
Danish:	multiplikation
Dutch:	vermenigvuldiging
Estonian:	korrutamine
Finnish:	kertolasku
French:	multiplication
German:	die Multiplikation
Greek:	πολλαπλασιασμός
Hungarian:	szorzás
Icelandic:	margföldun
Italian:	moltiplicazione
Japanese:	掛け算

Korean:	곱하기, 번식, 증가
Latvian:	reizināšana
Lithuanian:	daugyba
Norwegian:	multiplikasjon
Polish:	mnożenie
Portuguese (Brazil):	multiplicação
Portuguese (Portugal):	multiplicação
Romanian:	înmulţire
Russian:	умножение
Slovak:	násobenie
Slovenian:	množenje
Spanish:	multiplicación
Swedish:	multiplikation
Turkish:	çarpma, çarpım işlemi

See also: multiply

The American Heritage Science Dictionary - Cite This Source - Share This

multiplication Audio Help (mŭl'tə-plĭ-kā'shən) Pronunciation Key

A mathematical operation performed on a pair of numbers in order to derive a third number called a product. For positive integers, multiplication consists of adding a number (the multiplicand) to itself a specified number of times. Thus multiplying 6 by 3 means adding 6 to itself three times. The operation of multiplication is extended to other real numbers according to the rules governing the multiplicational properties of positive integers.
Any of certain analogous operations involving expressions other than real numbers.

The American Heritage® Science Dictionary
Copyright © 2002 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.

American Heritage Stedman's Medical Dictionary - Cite This Source - Share This

mul·ti·pli·ca·tion (mlt-pl-kshn)
n.

The act or process of multiplying or the condition of being multiplied.
Propagation of plants and animals; procreation.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

multiplication

Com"pound\, a. [OE. compouned, p. p. of compounen. See Compound, v. t.] Composed of two or more elements, ingredients, parts; produced by the union of several ingredients, parts, or things; composite; as, a compound word.

Compound substances are made up of two or more simple substances. --I. Watts.

Compound addition, subtraction, multiplication, division (Arith.), the addition, subtraction, etc., of compound numbers.

Compound crystal (Crystallog.), a twin crystal, or one seeming to be made up of two or more crystals combined according to regular laws of composition.

Compound engine (Mech.), a form of steam engine in which the steam that has been used in a high-pressure cylinder is made to do further service in a larger low-pressure cylinder, sometimes in several larger cylinders, successively.

Compound ether. (Chem.) See under Ether.

Compound flower (Bot.), a flower head resembling a single flower, but really composed of several florets inclosed in a common calyxlike involucre, as the sunflower or dandelion.

Compound fraction. (Math.) See Fraction.

Compound fracture. See Fracture.

Compound householder, a householder who compounds or arranges with his landlord that his rates shall be included in his rents. [Eng.]

Compound interest. See Interest.

Compound larceny. (Law) See Larceny.

Compound leaf (Bot.), a leaf having two or more separate blades or leaflets on a common leafstalk.

Compound microscope. See Microscope.

Compound motion. See Motion.

Compound number (Math.), one constructed according to a varying scale of denomination; as, 3 cwt., 1 qr., 5 lb.; -- called also denominate number.

Compound pier (Arch.), a clustered column.

Compound quantity (Alg.), a quantity composed of two or more simple quantities or terms, connected by the sign + (plus) or - (minus). Thus, a + b - c, and bb - b, are compound quantities.

Compound radical. (Chem.) See Radical.

Compound ratio (Math.), the product of two or more ratios; thus ab:cd is a ratio compounded of the simple ratios a:c and b:d.

Compound rest (Mech.), the tool carriage of an engine lathe.

Compound screw (Mech.), a screw having on the same axis two or more screws with different pitch (a differential screw), or running in different directions (a right and left screw).

Compound time (Mus.), that in which two or more simple measures are combined in one; as, 6-8 time is the joining of two measures of 3-8 time.

Compound word, a word composed of two or more words; specifically, two or more words joined together by a hyphen.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Multiplication

Fa"cient\, n. [L. faciens, -- entis, p. pr. of facere to make, do. See Fact.]

1. One who does anything, good or bad; a doer; an agent. [Obs.] --Bp. Hacket.

2. (Mach.) (a) One of the variables of a quantic as distinguished from a coefficient. (b) The multiplier.

Note: The terms facient, faciend, and factum, may imply that the multiplication involved is not ordinary multiplication, but is either some specified operation, or, in general, any mathematical operation. See Multiplication.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Multiplication

Mul"ti*pli*cand`\, n. [L. multiplicandus to be multiplied: cf. F. multiplicande.] (Math.) The number which is to be multiplied by another number called the multiplier. See Note under Multiplication.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Multiplication

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.

Note: 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 [phi](x + y) = [phi]x + [phi]y (see under Distributive), where [phi](x + y), [phi]x, and [phi]y indicate the results of any distributive operation represented by the symbol [phi] upon x + y, x, and y, severally, then because of many very useful analogies [phi](x + y) is called the product of [phi] and x + y, and the operation indicated by [phi] 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.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Multiplication

Mul"ti*pli`er\, n. [Cf. F. multiplier. Cf. Multiplicator.]

1. One who, or that which, multiplies or increases number.

2. (Math.) The number by which another number is multiplied. See the Note under Multiplication.

3. (Physics) An instrument for multiplying or increasing by repetition or accumulation the intensity of a force or action, as heat or electricity. It is particularly used to render such a force or action appreciable or measurable when feeble. See Thermomultiplier.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Multiplication

Mul"ti*ply\, v. t. [imp. & p. p. Multiplied; p. pr. & vb. n. Multiplying.] [F. multiplier, L. multiplicare, fr. multiplex manifold. See Multitude, Complex.]

1. To increase in number; to make more numerous; to add quantity to.

Impunity will multiply motives to disobedience. --Ames.

2. (Math.) To add (any given number or quantity) to itself a certain number of times; to find the product of by multiplication; thus 7 multiplied by 8 produces the number 56; to multiply two numbers. See the Note under Multiplication.

3. To increase (the amount of gold or silver) by the arts of alchemy. [Obs.]

Multiplying gear (Mach.), gear for increasing speed.

Multiplying lens. (Opt.) See under Lens.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Multiplication

Prod"uct\, n. [L. productus, p. pr. of producere. See Produce.]

1. Anything that is produced, whether as the result of generation, growth, labor, or thought, or by the operation of involuntary causes; as, the products of the season, or of the farm; the products of manufactures; the products of the brain.

There are the product Of those ill-mated marriages. --Milton.

These institutions are the products of enthusiasm. --Burke.

2. (Math.) The number or sum obtained by adding one number or quantity to itself as many times as there are units in another number; the number resulting from the multiplication of two or more numbers; as, the product of the multiplication of 7 by 5 is 35. In general, the result of any kind of multiplication. See the Note under Multiplication.

Syn: Produce; production; fruit; result; effect; consequence; outcome; work; performance.

Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Multiplication

Quo"tient\, n. [F., fr. L. quoties how often, how many times, fr. quot how many. See Quota.]

1. (Arith.) The number resulting from the division of one number by another, and showing how often a less number is contained in a greater; thus, the quotient of twelve divided by four is three.

2. (Higher Alg.) The result of any process inverse to multiplication. See the Note under Multiplication.

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