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  2. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    Addition. 3 + 2 = 5 with apples, a popular choice in textbooks [1] Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. [2] The addition of two whole numbers results in the total amount or sum of those values combined.

  3. Proofs involving the addition of natural numbers - Wikipedia

    en.wikipedia.org/wiki/Proofs_involving_the...

    This article will use the Peano axioms for the definition of natural numbers. With these axioms, addition is defined from the constant 0 and the successor function S (a) by the two rules. For the proof of commutativity, it is useful to give the name "1" to the successor of 0; that is, 1 = S (0). For every natural number a, one has.

  4. Additive identity - Wikipedia

    en.wikipedia.org/wiki/Additive_identity

    Additive identity. In mathematics, the additive identity of a set that is equipped with the operation of addition is an element which, when added to any element x in the set, yields x. One of the most familiar additive identities is the number 0 from elementary mathematics, but additive identities occur in other mathematical structures where ...

  5. History of mathematical notation - Wikipedia

    en.wikipedia.org/wiki/History_of_mathematical...

    The history of mathematical notation[1] includes the commencement, progress, and cultural diffusion of mathematical symbols and the conflict of the methods of notation confronted in a notation's move to popularity or inconspicuousness. Mathematical notation [2] comprises the symbols used to write mathematical equations and formulas.

  6. Adding machine - Wikipedia

    en.wikipedia.org/wiki/Adding_machine

    The machine cycled once. To see the total the user was required to press a Total key and the machine would print the result on a paper tape, release the locked down keys, reset the adding mechanism to zero and tabulate it back to its home position. Modern adding machines are like simple calculators. They often have a different input system, though.

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