Difference between revisions of "Multiplication"

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In its most elementary form '''multiplication''' is repeated [[addition]] of [[whole numbers]] or [[integers]].  
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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''.
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The result of a multiplication is the ''product''. The numbers which are multiplied together are called ''factors''.
  
 
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In this context, it is also one of the most well-known [[commutative]] operations: It yields the same result, regardless of placement of numbers.
Multiplication and addition are the only two mathematical functions that yield the same result, regardless of placement of numbers.
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:For example <big><math>3\times 2 = 2\times 3</math></big>.
 
:For example <big><math>3\times 2 = 2\times 3</math></big>.
:Likewise <big><math>4 + 5 = 5 + 4\ </math></big>
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They are both therefore called "[[commutative]]" operations
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Multiplication also possesses the [[associative property of multiplication|associative property]].
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The opposite of multiplication is [[division]].
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== Properties of Multiplication ==
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* Multiplying any number by 1 yields that same number again. E.g. <math>8\times 1 = 1</math>
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* Multiplying any number by 0 yields 0. E.g. <math>7\times 0 = 0</math>
  
 
==See also==
 
==See also==
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*[[Arithmetic]]
 
*[[Arithmetic]]
  
[[Category:Algebra]]
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[[Category:Arithmetic]]

Latest revision as of 13:37, March 26, 2017

In its most elementary form multiplication is the repeated addition of whole numbers or integers.

For example,

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 .

Multiplication also possesses the associative property.

The opposite of multiplication is division.

Properties of Multiplication

  • Multiplying any number by 1 yields that same number again. E.g.
  • Multiplying any number by 0 yields 0. E.g.

See also