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小數

小數粵拼siu2 sou3)係實數嘅表現方式之一,冚唪唥嘅分數都可以表示成小數,中間嘅圓點係小數點,係整數同小數嘅分界。其中整數部分係0嘅小數叫純小數,否則係帶小數。

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整數 小數點  小數

小數分別有有限小數無限小數兩種分類,無限小數重可以細分成循環小數同埋無理數

分類

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有限小數

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佢係小數部分後有限制個數位嘅小數。例如2.18、1.26928、0.9635、6.1、3.04、4.9354687983、5.785248等等……屬有理數範圍,任何有限小數都可以化成分數。

一個最簡分數可以化成十進制嘅有限小數,而且分母凈限喺2510質因數範圍。重可以化成某正整數底數嘅有限小數而且佢嘅分母質因數做呢個基底質因數嘅子集

無限小數

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佢係小數部分水蛇膥咁長,冇最盡限制個數位嘅小數。

無限循環小數

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佢從小數部分開始,連續一個數字或幾個數字猛咁唔停出現嘅小數。重可以細分成純循環小數同埋混循環小數。兩者都屬有理數,雖然可以化成分數,但分母一定帶有2或5或10以外嘅質因數。

純循環小數

從小數第一位(十分位)開始,連續一個數字或幾個數字猛咁唔停出現嘅小數。

混循環小數

從小數第二位(百分位)或更低小數位開始,連續一個數字或幾個數字猛咁唔停出現嘅小數。

無限不循環小數

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從小數第一位(十分位)開始後,一直都冇連續一個數字或幾個數字猛咁唔停出現,而且係冇規律兼冇盡頭嘅小數。嗰啲都屬於無理數,唔可以化成分數。

  • 圓周率:=3.14159265358979323846……
  • 自然對數底數:=2.71828182845904……
  • 黃金分割:=1.6180339887498948……
  • 三角函數:=0.0874886635259240……
  • 開方:=1.7320508075688772935……
  • 對數:=0.3010299956639811952……
  • 開三方:=1.70997594667669698……
  • 自然對數:=0.69314718055994530941......
  • 雙曲函數:=4051.54190208278996051.....
  • 反三角函數:=66.42182152.....
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小數
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