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  2. Long division - Wikipedia

    en.wikipedia.org/wiki/Long_division

    The largest number that the divisor 4 can be multiplied by without exceeding 5 is 1, so the digit 1 is put above the 5 to start constructing the quotient. Next, the 1 is multiplied by the divisor 4, to obtain the largest whole number that is a multiple of the divisor 4 without exceeding the 5 (4 in this case).

  3. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    Sometimes multiplication and division are given equal precedence, or sometimes multiplication is given higher precedence than division; see § Mixed division and multiplication below. If each subtraction is replaced with addition of the opposite (additive inverse), then the associative and commutative laws of addition allow terms to be added in ...

  4. Division (mathematics) - Wikipedia

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

    In abstract algebra, given a magma with binary operation ∗ (which could nominally be termed multiplication), left division of b by a (written a \ b) is typically defined as the solution x to the equation a ∗ x = b, if this exists and is unique. Similarly, right division of b by a (written b / a) is the solution y to the equation y ∗ a = b ...

  5. Root of unity - Wikipedia

    en.wikipedia.org/wiki/Root_of_unity

    In fact, if x m = 1 and y n = 1, then (x −1) m = 1, and (xy) k = 1, where k is the least common multiple of m and n. Therefore, the roots of unity form an abelian group under multiplication. This group is the torsion subgroup of the circle group .

  6. 5th Infantry Division (Philippines) - Wikipedia

    en.wikipedia.org/wiki/5th_Infantry_Division...

    The division traces its history to the organization of the 5th Army Brigade on October 16, 1972, as a major unit of the Philippine Army pursuant to General Orders Number 153, General Headquarters, Armed Forces of the Philippines with its station located in Camp Servillano S. Aquino in San Miguel, Tarlac. [1] Brig. Gen.

  7. Division ring - Wikipedia

    en.wikipedia.org/wiki/Division_ring

    In algebra, a division ring, also called a skew field (or, occasionally, a sfield [1] [2]), is a nontrivial ring in which division by nonzero elements is defined. Specifically, it is a nontrivial ring [3] in which every nonzero element a has a multiplicative inverse, that is, an element usually denoted a –1, such that a a –1 = a –1 a = 1.

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