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Mathematics vs Arithmetic - What's the difference?

mathematics | arithmetic |

Arithmetic is a synonym of mathematics.



As nouns the difference between mathematics and arithmetic

is that mathematics is an abstract representational system used in the study of numbers, shapes, structure, change and the relationships between these concepts while arithmetic is the mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.

As an adjective arithmetic is

of, relating to, or using arithmetic; arithmetical.

mathematics

Alternative forms

* mathematicks (obsolete)

Noun

(-)
  • An abstract representational system used in the study of numbers, shapes, structure, change and the relationships between these concepts.
  • * 2001 , David Salsburg, The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century , page 8
  • In many cases, the mathematics involved are deep and complicated.
  • * 2002 , Ian Stewart, Does God Play Dice?: The New Mathematics of Chaos , page 38
  • The answer is 'yes', and the mathematics needed is the theory of probability and its applied cousin, statistics.
  • A person's ability to count, calculate, and use different systems of mathematics at differing levels.
  • My mathematics is not very good.
    Their mathematics are not very good.
    Their mathematics is not very good.

    Usage notes

    * Before the beginning of the 20th century, it was proper to say "My mathematics are not very good".

    Synonyms

    * (ability to use mathematics) numeracy * abbreviation: maths * See also

    Derived terms

    * applied mathematics * astromathematics * biomathematics * discrete mathematics * ethnomathematics * metamathematics * pseudomathematics * pure mathematics * recreational mathematics

    See also

    * (wikipedia "mathematics") * (Definitions of mathematics) * polymath

    arithmetic

    Noun

    (en-noun)
  • The mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.
  • * {{quote-magazine, date=2013-07-20, volume=408, issue=8845, magazine=(The Economist)
  • , title= Welcome to the plastisphere , passage=[The researchers] noticed many of their pieces of [plastic marine] debris sported surface pits around two microns across.

    Synonyms

    * (study) math (US), maths (UK), mathematics

    Derived terms

    (terms derived from the noun "arithmetic") * affine arithmetic * arithmetician * binary arithmetic * Boolean arithmetic * clock arithmetic * congruence arithmetic * decimal arithmetic * floating-point arithmetic * fuzzy arithmetic * interval arithmetic * location arithmetic * modular arithmetic * Peano arithmetic * Presburger arithmetic * saturation arithmetic * significance arithmetic

    Adjective

    (-)
  • (mathematics) Of, relating to, or using arithmetic; arithmetical.
  • arithmetic geometry
  • *
  • (arithmetic) Of a progression, mean, etc, computed solely using addition.
  • arithmetic progression

    Coordinate terms

    * (computed solely using addition) geometric

    Derived terms

    (terms derived from the adjective "arithmetic") * arithmetic mean * arithmetic progression * arithmetic series

    See also

    * English heteronyms