Difference between revisions of "Common Multiplication"
10000th User (talk | contribs) m (Multiplication moved to Ordinary Multiplication: The word '''multiplication''' has more broader definition and the one defined in this page provides information that only pertains to ordinary arithmetic.) |
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| − | In [[ | + | In ordinary [[arithmetic]], '''multiplication''' is an arithmetic [[operation]]. The result of multiplying is the [[product]]. If one of the [[number]]s is a [[whole number]], multiplication is the repeated [[sum]] of that number. For example, <math>4\times3=4+4+4=12</math>. The [[inverse]] of multiplication is [[division]]. |
To multiply [[fraction]]s, the [[numerator]]s and [[denominator]]s are multiplied: <math>\frac{a}{c}\times\frac{b}{d}=\frac{a\times b}{c\times d}=\frac{ab}{cd}</math>. | To multiply [[fraction]]s, the [[numerator]]s and [[denominator]]s are multiplied: <math>\frac{a}{c}\times\frac{b}{d}=\frac{a\times b}{c\times d}=\frac{ab}{cd}</math>. | ||
== Properties == | == Properties == | ||
| − | * Commutative property: <math>a\times b=b\times a</math> | + | * [[Commutative]] property: <math>a\times b=b\times a</math> |
| − | * Associative property: <math>a(b\times c)=(a\times b)c</math> | + | * [[Associative]] property: <math>a\times(b\times c)=(a\times b)\times c</math> |
| − | * Distributive property: <math>a(b+c)=ab+ac</math> | + | * [[Distributive]] property: <math>a\times(b+c)=ab+ac</math> |
| − | * | + | * [[zero (constant) | Zero]] property: <math>a\times0=0</math> |
| − | * | + | * [[Identity]] property: <math>a\times1=a</math> |
| + | * [[Inverse]] property: For any <math>x\neq0</math>, <math>x\times\frac{1}{x}=1</math> | ||
Revision as of 11:19, 15 November 2007
This article is a stub. Help us out by expanding it.
In ordinary arithmetic, multiplication is an arithmetic operation. The result of multiplying is the product. If one of the numbers is a whole number, multiplication is the repeated sum of that number. For example, 
. The inverse of multiplication is division.
To multiply fractions, the numerators and denominators are multiplied: 
.
Properties
- Commutative property:
- Associative property:
- Distributive property:
- Zero property:
- Identity property:
- Inverse property: For any
, 
, 
