Difference between revisions of "Multiplication"

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In its most elementary form '''multiplication''' is the repeated [[addition]] of [[whole numbers]] or [[integers]].  
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'''Multiplication''' is a mathematical operation. Multiplication of positive integers is the same as repeated addition.  You multiply two numbers together; that is, multiplication is always performed on two ''operands,'' which in this case are known as the ''multiplicand'' and the ''multiplier.'' The result is a third number, the ''product.''
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:For example, <big><math>3\times 2 = 2 + 2 + 2 = 6</math></big>
  
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*3 times 2 = 2 added three times  = 2 + 2 + 2 =  6.
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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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This also works the other way:
 
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*3 times 2 = 3 added two times = 3 + 3 = 6.
 
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2 x 3 = 3 x 2, regardless of the order of the operands, per the [[commutative|commutative property]].
 
  
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Multiplication is sometimes confusing because the symbol for multiplication is very similar to the letter x; but the letter x can also stand for a variable in algebra, as in "solve for x."
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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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: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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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>
  
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In printed material, slightly different symbols are used for the letter x and the multiplication symbol &times;. Sometimes, in mathematics, a centered dot is used to stand for multiplication:
 
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:3 &middot; 2
 
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:a &middot; b
 
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:6.022 &middot;10<sup>23</sup>
 
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In algebra, quantities may simply be juxtaposed (written next to each other) without any symbols, to indicate multiplication. In this expression, 2ab means 2 times ''a'' times ''b''.
 
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:a<sup>2</sup> + 2ab + b<sup>2</sup>
 
 
==See also==
 
==See also==
 
*[[Multiplication Property of Equality]]
 
*[[Multiplication Property of Equality]]
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*[[Math]]
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*[[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, <math>3\times 2 = 2 + 2 + 2 = 6</math>

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 <math>3\times 2 = 2\times 3</math>.

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. <math>8\times 1 = 1</math>
  • Multiplying any number by 0 yields 0. E.g. <math>7\times 0 = 0</math>

See also

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