Difference between revisions of "Multiplication"

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: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>
  
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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.
  
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Multiplication and addition of [[real number]]s are the two most well-known [[commutative]] operations: They 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>.
  
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:For example <big><math>3\times 2 = 2\times 3</math></big>.
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Multiplication also possesses the [[associative property of multiplication|associative property]].
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:Likewise <big><math>4 + 5 = 5 + 4\ </math></big>
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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]]
  
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[[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, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3\times 2 = 2 + 2 + 2 = 6}

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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3\times 2 = 2\times 3} .

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. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 8\times 1 = 1}
  • Multiplying any number by 0 yields 0. E.g. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 7\times 0 = 0}

See also