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>
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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.
  
 
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[[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, $4\times3=4+4+4=12$. The inverse of multiplication is division.

To multiply fractions, the numerators and denominators are multiplied: $\frac{a}{c}\times\frac{b}{d}=\frac{a\times b}{c\times d}=\frac{ab}{cd}$.

Properties

Note that $\frac{1}{x}$ is $x$'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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