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  2. Symbols of grouping - Wikipedia

    en.wikipedia.org/wiki/Symbols_of_grouping

    The "hierarchy of operations", also called the "order of operations" is a rule that saves needing an excessive number of symbols of grouping.In its simplest form, if a number had a plus sign on one side and a multiplication sign on the other side, the multiplication acts first.

  3. Standard algorithms - Wikipedia

    en.wikipedia.org/wiki/Standard_algorithms

    In elementary arithmetic, a standard algorithm or method is a specific method of computation which is conventionally taught for solving particular mathematical problems. . These methods vary somewhat by nation and time, but generally include exchanging, regrouping, long division, and long multiplication using a standard notation, and standard formulas for average, area, and vol

  4. Group (mathematics) - Wikipedia

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

    The manipulations of the Rubik's Cube form the Rubik's Cube group.. In mathematics, a group is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation) and satisfies the following constraints: the operation is associative, it has an identity element, and every element of the set has an inverse element.

  5. Associative property - Wikipedia

    en.wikipedia.org/wiki/Associative_property

    A binary operation ∗ on the set S is associative when this diagram commutes.That is, when the two paths from S×S×S to S compose to the same function from S×S×S to S. ...

  6. Quotient group - Wikipedia

    en.wikipedia.org/wiki/Quotient_group

    When dividing 12 by 3 one obtains the result 4 because one can regroup 12 objects into 4 subcollections of 3 objects. The quotient group is the same idea, although one ends up with a group for a final answer instead of a number because groups have more structure than an arbitrary collection of objects: in the quotient ⁠ G / N {\displaystyle G ...

  7. Like terms - Wikipedia

    en.wikipedia.org/wiki/Like_terms

    In mathematics, like terms are summands in a sum that differ only by a numerical factor. [1] Like terms can be regrouped by adding their coefficients. Typically, in a polynomial expression, like terms are those that contain the same variables to the same powers, possibly with different coefficients.