Difference between revisions of "Common Multiplication"
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| − | 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]]. | + | In ordinary [[arithmetic]], '''multiplication''' is an arithmetic [[operation]]. It is represented by parentheses, the <math>\cdot</math> sign, and the <math>\times</math> sign. 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>. | ||
Revision as of 18:30, 30 December 2010
In ordinary arithmetic, multiplication is an arithmetic operation. It is represented by parentheses, the 
sign, and the 
sign. 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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