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# arithmetic

[noun uh-rith-muh-tik; adjective ar-ith-met-ik] /noun əˈrɪθ mə tɪk; adjective ˌær ɪθˈmɛt ɪk/
noun
1.
the method or process of computation with figures: the most elementary branch of mathematics.
2.
Also called higher arithmetic, theoretical arithmetic. the theory of numbers; the study of the divisibility of whole numbers, the remainders after division, etc.
3.
a book on this subject.
[ar-ith-met-ik] /ˌær ɪθˈmɛt ɪk/ (Show IPA)
4.
Also, arithmetical. of or relating to arithmetic.
Origin of arithmetic
1200-1250
1200-50; < Latin arithmētica, feminine singular of arithmēticus < Greek arithmētikḗ (téchnē) (art, skill) of numbers, equivalent to arithmé(ein) to reckon + -t(o)- verbal adjective + -ikḗ -ic; replacing Middle English arsmet(r)ike < Old French arismetique < Medieval Latin arismētica, with s for Late Greek th
Related forms
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2018.
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Examples from the Web for arithmetical
Historical Examples
• There are forces in the world which work, not in an arithmetical, but in a geometrical ratio of increase.

Plato
• We advance not in arithmetical but in geometrical progression.

J. Stark Munro
• Then we have arithmetical Puzzles, an immense class, full of diversity.

Henry Ernest Dudeney
• His labours to perfect his arithmetical machine had seriously impaired it.

John Tulloch
• His wealth increased not in arithmetical but in geometrical progression.

Jules Verne
• But it is not an arithmetical inequality with which we ought to trouble ourselves.

Edmund Burke
• You should put this sort of thing into the hands of some arithmetical hireling.

William J. Locke
• By this machine, which is called a Swan-pan, arithmetical operations are rendered palpable.

• All arithmetical difficulties had confused and sickened him.

George Meredith
• These are questions which cannot be solved by arithmetical calculation.

British Dictionary definitions for arithmetical

## arithmetic

/əˈrɪθmətɪk/
noun
1.
the branch of mathematics concerned with numerical calculations, such as addition, subtraction, multiplication, and division
2.
one or more calculations involving numerical operations
3.
knowledge of or skill in using arithmetic: his arithmetic is good
4.
of, relating to, or using arithmetic
Derived Forms
arithmetician, noun
Word Origin
C13: from Latin arithmētica, from Greek arithmētikē, from arithmein to count, from arithmos number
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for arithmetical

1540s; see arithmetic + -al (1). Related: Arithmetically (late 15c.).

## arithmetic

n.

mid-13c., arsmetike, from Old French arsmetique (12c.), from Latin arithmetica, from Greek arithmetike (tekhne) "(the) counting (art)," fem. of arithmetikos "of or for reckoning, arithmetical," from arithmos "number, counting, amount," from PIE root *re(i)- "to reason, count" (cf. Old English, Old High German rim "number;" Old Irish rim "number," dorimu "I count;" Latin ritus "religious custom;" see read).

Originally in English also arsmetrik, on folk etymology from Medieval Latin ars metrica; spelling corrected early 16c. Replaced native tælcræft, literally "tell-craft."

Online Etymology Dictionary, © 2010 Douglas Harper
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arithmetical in Science
 arithmetic   (ə-rĭth'mĭ-tĭk)    The mathematics of integers, rational numbers, real numbers, or complex numbers under the operations of addition, subtraction, multiplication, and division.
The American Heritage® Science Dictionary