Difference between revisions of "Common Multiplication"
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* [[Identity]] property: <math>a\times1=a</math> | * [[Identity]] property: <math>a\times1=a</math> | ||
* [[Inverse]] property: For any <math>x\neq0</math>, <math>x\times\frac{1}{x}=1</math> | * [[Inverse]] property: For any <math>x\neq0</math>, <math>x\times\frac{1}{x}=1</math> | ||
+ | Note that <math>\frac{1}{x}</math> is <math>x</math>'s reciprocal. As long as a number is not equal to 0, the product of that number and its reciprocal is 1. | ||
{{stub}} | {{stub}} | ||
[[Category:Operation]] | [[Category:Operation]] |
Revision as of 22:27, 28 December 2010
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
,
Note that is
's reciprocal. As long as a number is not equal to 0, the product of that number and its reciprocal is 1.
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