arithmetic

/ə'riθmətik/
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arithmetic

A student solves an arithmetic problem on the chalkboard.

Definition
  1. Noun:

    • The branch of mathematics dealing with numbers and basic operations: Arithmetic is the area of mathematics focused on numerical calculations, including addition, subtraction, multiplication, and division.
    • A set of numerical calculations or problems: Arithmetic can also refer to a specific set of computations or mathematical problems involving numbers.
  2. Adjective:

    • Relating to arithmetic: Describes something that involves or pertains to the principles and operations of arithmetic.
Usage Examples
  • Noun:

    • Elementary school students learn arithmetic before moving on to algebra.
    • The arithmetic in this budget report is incorrect; the totals don't add up.
  • Adjective:

    • She made an arithmetic error when balancing her checkbook.
    • The test measures basic arithmetic skills.
Advanced Usage
  • "Mental arithmetic": The practice of performing calculations in one's head without the aid of tools.

    • He is skilled at mental arithmetic and can calculate tips quickly.
  • "Arithmetic progression/sequence": A sequence of numbers in which the difference between consecutive terms is constant.

    • The numbers 2, 5, 8, 11 form an arithmetic progression with a common difference of 3.
Variants and Related Words
  • Arithmetical (adjective): An alternative form of the adjective 'arithmetic'.

    • The arithmetical mean is another term for the average.
  • Arithmetician (noun): A person who is skilled in arithmetic.

    • The great arithmeticians of history developed many calculation techniques.
Synonyms
  • Calculation (noun): The process of performing mathematical operations.
  • Computation (noun): The action of mathematical calculation.
Related Phrases
  • Arithmetic mean: The average of a set of numerical values, calculated by adding them together and dividing by the count of numbers.

    • To find the arithmetic mean of 4, 6, and 8, you add them to get 18 and divide by 3, resulting in 6.
  • Arithmetic logic unit (ALU): A fundamental building block of a computer's central processing unit (CPU) that performs arithmetic and bitwise operations.

arithmetic

A student solves an arithmetic problem on the chalkboard.

Adjective
  1. relating to or involving arithmetic
    • arithmetical computations
Noun
  1. the branch of pure mathematics dealing with the theory of numerical calculations