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  2. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    The commutativity and associativity of real addition are immediate; defining the real number 0 to be the set of negative rationals, it is easily seen to be the additive identity. Probably the trickiest part of this construction pertaining to addition is the definition of additive inverses. [67] Adding π 2 /6 and e using Cauchy sequences of ...

  3. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    1. Denotes addition and is read as plus; for example, 3 + 2. 2. Denotes that a number is positive and is read as plus. Redundant, but sometimes used for emphasizing that a number is positive, specially when other numbers in the context are or may be negative; for example, +2. 3.

  4. Glossary of mathematical jargon - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Among the exponential functions of the form α x, setting α = e 2/e = 2.0870652... results in a sharp upper bound; the slightly smaller choice α = 2 fails to produce an upper bound, since then α 3 = 8 < 3 2. In applied fields the word "tight" is often used with the same meaning.

  5. Carry (arithmetic) - Wikipedia

    en.wikipedia.org/wiki/Carry_(arithmetic)

    During the addition, each carry is "signaled" rather than performed, and during the carry cycle, the machine increments the digits above the "triggered" digits. This operation has to be performed sequentially, starting with the ones digit, then the tens, the hundreds, and so on, since adding the carry can generate a new carry in the next digit.

  6. Group (mathematics) - Wikipedia

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

    Expressed in words, adding to first, and then adding the result to gives the same final result as adding to the sum of and ⁠ ⁠. This property is known as associativity . If a {\displaystyle a} is any integer, then 0 + a = a {\displaystyle 0+a=a} and ⁠ a + 0 = a {\displaystyle a+0=a} ⁠ .

  7. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    The term arithmetic has its root in the Latin term arithmetica which derives from the Ancient Greek words ἀριθμός (arithmos), meaning ' number ', and ἀριθμητική τέχνη (arithmetike tekhne), meaning ' the art of counting '. [3] There are disagreements about its precise definition.

  8. Multiplication and repeated addition - Wikipedia

    en.wikipedia.org/wiki/Multiplication_and...

    In mathematics education, there was a debate on the issue of whether the operation of multiplication should be taught as being a form of repeated addition.Participants in the debate brought up multiple perspectives, including axioms of arithmetic, pedagogy, learning and instructional design, history of mathematics, philosophy of mathematics, and computer-based mathematics.

  9. Multiple representations (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Multiple_representations...

    The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.

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