arithmetical
/ə'riθ'metikəl/
Definition
- 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).
Adjective
-
relating to or involving arithmetic
-
arithmetical computations
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