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.

Adjective

1. relating to or involving arithmetic
   • arithmetical computations

Noun

1. the branch of pure mathematics dealing with the theory of numerical calculations