arithmetical

/ə'riθ'metikəl/

Thân thiện

The student solves an arithmetical problem on the chalkboard.

Definition

1. Adjective:
   • Relating to or involving arithmetic: The word "arithmetical" describes something that pertains to the branch of mathematics dealing with numbers, their properties, and the basic operations (addition, subtraction, multiplication, division) performed on them.

Usage

• The adjective "arithmetical" is used to modify nouns to specify a connection to arithmetic. It is often used interchangeably with "arithmetic," though "arithmetical" is sometimes preferred in more formal or technical contexts.

Examples

• Adjective:
  • The students performed a series of arithmetical exercises.
  • An arithmetical error in the calculation led to the wrong result.
  • She has a strong arithmetical ability.

Advanced Usage

• "Arithmetical progression": A sequence of numbers in which the difference between consecutive terms is constant (also called an arithmetic progression).
  • The series 2, 5, 8, 11 is an example of an arithmetical progression.
• "Arithmetical mean": The average of a set of numbers, calculated by dividing the sum of the values by the number of values (also called the arithmetic mean).
  • The arithmetical mean of 4, 6, and 8 is 6.

Variants and Related Words

• Arithmetic (noun): The branch of mathematics dealing with numbers and basic operations.
  • She is good at arithmetic.
• Arithmetic (adjective): Functioning as a synonym for "arithmetical."
  • He made an arithmetic mistake.
• Arithmetically (adverb): In a way that relates to arithmetic.
  • The problem was solved arithmetically.

Synonyms

• Mathematical (in a broad sense, though "mathematical" is more general).
• Numerical (relating to numbers).

Antonyms

• Non-numerical: Not involving numbers.
• Geometric (in the specific context of mathematical branches, as geometry is distinct from arithmetic).

Học thuật

Adjective

1. relating to or involving arithmetic
   • arithmetical computations

Từ đồng nghĩa

• arithmetic