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Line 1: − + − + − Multiplication is a [[commutative]] operation in that A <big><math>\times</math></big> B = B <big><math>\times</math></big> A. + − + + + + + + + + + Line 13:
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Recat
In its most elementary form '''multiplication''' is repeated [[addition]] of [[whole numbers]] or [[integers]].
In its most elementary form '''multiplication''' is the repeated [[addition]] of [[whole numbers]] or [[integers]].
:For example, <big><math>3\times 2 = 2 + 2 + 2 = 6</math></big>
:For example, <big><math>3\times 2 = 2 + 2 + 2 = 6</math></big>
The result of a multiplication is the ''[[product]]''. The numbers which are multiplied together are called ''[[factor]]s''.
The result of a multiplication is the ''product''. The numbers which are multiplied together are called ''factors''.
In this context, it is also one of the most well-known [[commutative]] operations: It yields the same result, regardless of placement of numbers.
:For example <big><math>3\times 2 </math></big> (spoken as "three times two") is the sum of 3 + 3 = 6.
:For example <big><math>3\times 2 = 2\times 3</math></big>.
Multiplication also possesses the [[associative property of multiplication|associative property]].
The opposite of multiplication is [[division]].
== Properties of Multiplication ==
* Multiplying any number by 1 yields that same number again. E.g. <math>8\times 1 = 1</math>
* Multiplying any number by 0 yields 0. E.g. <math>7\times 0 = 0</math>
==See also==
==See also==
*[[Arithmetic]]
*[[Arithmetic]]
[[Category:Algebra]]
[[Category:Arithmetic]]