| − | The quaternions obey all the usual arithmetic operations. Quaternions may be [[addition|added]], [[subtraction|subtracted]], [[multiplication|multiplied]], and [[division|divided]]. Addition is [[associative]] and [[commutative]], while multiplication is only associative. Moreover, addition distributes over multiplication and nonzero quaternions have multiplicative inverses, and so the quarternions are termed a skew field. | + | The quaternions obey all the usual arithmetic operations. Quaternions may be [[addition|added]], [[subtraction|subtracted]], [[multiplication|multiplied]], and [[division|divided]]. Addition is [[associative]] and [[commutative]], while multiplication is only associative. Moreover, addition distributes over multiplication and nonzero quaternions have multiplicative inverses, and so the quaternions are termed a skew field. |