## multiplicationA way of combining two numbers to obtain a third; symbolized by ×, ., or merely the juxtaposition of the numbers (where suitable). Where x
(the multiplicand) and y are natural
numbers, x × y is commutative
and defined by x + x + ... + x, the number x
appearing y times (see addition).
For multiplication of negative integers, such as (- x) and (-y), (-x).y = x.(-y)
= -(x.y); and (-x).(y) = x.y.
Multiplication of any number by 0 (see zero)
is defined to give the product 0. Fractions
may be multiplied by simple extension of the system. The inverse
operation of multiplication is division,
since x/y = x.(1/y). In cases other
than with real numbers, multiplication
must be independently defined (see complex
number). ## Related categories• ALGEBRA• ARITHMETIC | |||||

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