Difference between revisions of "Multiplication"

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In its most elementary form '''multiplication''' may be defined as 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]].  
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:For example, <big><math>2\times 3 </math></big> (spoken as "two times three") is the sum of 2 + 2 + 2.
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:For example, <big><math>3\times 2 = 2 + 2 + 2 = 6</math></big>
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In this example the numbers "2" and "3" are known as the ''[[factor]]s'' and the result of a multiplication is known as the ''[[product]]''.
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Multiplication is a [[commutative]] operation in that A <big><math>\times</math></big> B = B <big><math>\times</math></big> A.
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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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:For example <big><math>3\times 2 </math></big> (spoken as "three times two") is the sum of 3 + 3 = 6.
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==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.
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Several conventions are used to indicate multiplication.
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*For simple numbers, the symbol (<big><math>\times</math></big>) 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>.
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*Since the "X" looks like a letter, and letters are commonly used in algebra to indicate [[unknown]]s, or [[variable]]s, the "dot" is frequently used: A &#149; B = B &#149; A.
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*Alternatively a period may be used to denote multiplication
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Multiplication also possesses the [[associative property of multiplication|associative property]].
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*Also, in [[algebra]]ic use, quantities are simply juxtaposed to indicate that they are to be multiplied:
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: Y = 3aX + 4bZ
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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,

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

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