arithmetic

[əˈrɪθmətɪk]

arithmetic Definition

the branch of mathematics concerned with the properties and manipulation of numbers.

Using arithmetic: Examples

Take a moment to familiarize yourself with how "arithmetic" can be used in various situations through the following examples!

  • Example

    We learned arithmetic in elementary school.

  • Example

    She is very good at mental arithmetic.

  • Example

    Arithmetic operations include addition, subtraction, multiplication, and division.

Phrases with arithmetic

  • the average of a set of numbers, calculated by adding them together and dividing by the number of terms

    Example

    The arithmetic mean of 2, 4, and 6 is 4.

  • a sequence of numbers in which each term is obtained by adding a constant to the preceding term

    Example

    The sequence 1, 3, 5, 7, 9 is an arithmetic progression with a common difference of 2.

  • the sum of a sequence of numbers in which each term is obtained by adding a constant to the preceding term

    Example

    The sum of the first n terms of an arithmetic series is given by Sn = n/2(2a + (n-1)d), where a is the first term and d is the common difference.

Origins of arithmetic

from Greek 'arithmētikē', meaning 'the art of counting'

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Summary: arithmetic in Brief

'Arithmetic' [əˈrɪθmətɪk] is the branch of mathematics that deals with the properties and manipulation of numbers. It includes basic operations like addition, subtraction, multiplication, and division, as well as more advanced concepts like arithmetic mean, arithmetic progression, and arithmetic series. 'Arithmetic' is typically taught in elementary school and is an essential foundation for higher-level math.