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  2. Integer - Wikipedia

    en.wikipedia.org/wiki/Integer

    The integers arranged on a number line. An integer is the number zero , a positive natural number (1, 2, 3, . . .), or the negation of a positive natural number (−1, −2, −3, . . .). [1] The negations or additive inverses of the positive natural numbers are referred to as negative integers. [2]

  3. Natural number - Wikipedia

    en.wikipedia.org/wiki/Natural_number

    Download as PDF; Printable version; ... defining them as the positive integers 1, 2, 3, ... operations on natural numbers as defined above have several algebraic ...

  4. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    For example, the set of integers modulo 12 has twelve elements; it inherits an addition operation from the integers that is central to musical set theory. The set of integers modulo 2 has just two elements; the addition operation it inherits is known in Boolean logic as the "exclusive or" function.

  5. Exercise (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Exercise_(mathematics)

    Early exercises deal with addition, subtraction, multiplication, and division of integers. Extensive courses of exercises in school extend such arithmetic to rational numbers . Various approaches to geometry have based exercises on relations of angles , segments , and triangles .

  6. Subtraction - Wikipedia

    en.wikipedia.org/wiki/Subtraction

    Subtraction also obeys predictable rules concerning related operations, such as addition and multiplication. All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond. General binary operations that follow these patterns are studied in abstract algebra.

  7. Successor function - Wikipedia

    en.wikipedia.org/wiki/Successor_function

    The successor function is part of the formal language used to state the Peano axioms, which formalise the structure of the natural numbers.In this formalisation, the successor function is a primitive operation on the natural numbers, in terms of which the standard natural numbers and addition are defined. [1]