Difference between revisions of "Multiplication"

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In its most elementary form '''multiplication''' is the repeated [[addition]] of [[whole numbers]] or [[integers]].  
'''Multiplication''' may be defined as repeated addition. For example, 3 X 2 is the sum of 2 + 2 + 2.
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:For example, <big><math>3\times 2 = 2 + 2 + 2 = 6</math></big>
  
Multiplication is a [[commutative]] operation: A X B = B X A.
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The result of a multiplication is the ''product''. The numbers which are multiplied together are called ''factors''.
  
==Symbol==
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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.
Several conventions are used to indicate multiplication. 
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*For simple numbers, the symbol used looks much like the letter "X", as in the examples above.
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:For example <big><math>3\times 2 = 2\times 3</math></big>.
*Since the "X" looks like a letter, and letters are commonly used in algebra to indicate unknowns, or variables, the "dot" is frequently used: A &#149; B = B &#149; A.
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*Also, in algebraic use, quantities are simply juxtaposed to indicate that they are to be multiplied: Y = 3aX + 4bZ.
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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==
 
*[[Multiplication Property of Equality]]
 
*[[Multiplication Property of Equality]]
*[[Math]]
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*[[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, <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