六年制學程/03/2015.09.15:修訂版本之間的差異
出自六年制學程
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*10<sup>-21</sup>=十億兆分之一,介,zepto | *10<sup>-21</sup>=十億兆分之一,介,zepto | ||
*10<sup>-24</sup>=兆分之一,攸,yocto | *10<sup>-24</sup>=兆分之一,攸,yocto | ||
+ | ====公制前綴:==== | ||
+ | <table> | ||
+ | <tr> | ||
+ | <td>前綴</td> | ||
+ | <td>符號</td> | ||
+ | <td align='center'>數值</td> | ||
+ | <td align='center'>科學符號</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>yotta</td> | ||
+ | <td align='center'>Y</td> | ||
+ | <td>1,000,000,000,000,000,000,000,000</td> | ||
+ | <td align='center'>10<sup>24</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>zetta</td> | ||
+ | <td align='center'>Z</td> | ||
+ | <td>1,000,000,000,000,000,000,000</td> | ||
+ | <td align='center'>10<sup>21</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>exa</td> | ||
+ | <td align='center'>E</td> | ||
+ | <td>1,000,000,000,000,000,000</td> | ||
+ | <td align='center'>10<sup>18</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>peta</td> | ||
+ | <td align='center'>P</td> | ||
+ | <td>1,000,000,000,000,000</td> | ||
+ | <td align='center'>10<sup>15</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>tera</td> | ||
+ | <td align='center'>T</td> | ||
+ | <td>1,000,000,000,000</td> | ||
+ | <td align='center'>10<sup>12</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>giga</td> | ||
+ | <td align='center'>G</td> | ||
+ | <td>1,000,000,000</td> | ||
+ | <td align='center'>10<sup>9</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>mega</td> | ||
+ | <td align='center'>M</td> | ||
+ | <td>1,000,000</td> | ||
+ | <td align='center'>10<sup>6</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>kilo</td> | ||
+ | <td align='center'>k</td> | ||
+ | <td>1,000</td> | ||
+ | <td align='center'>10<sup>3</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>hecto</td> | ||
+ | <td align='center'>h</td> | ||
+ | <td>100</td> | ||
+ | <td align='center'>10<sup>2</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>deca</td> | ||
+ | <td align='center'>da</td> | ||
+ | <td>10</td> | ||
+ | <td align='center'>10<sup>1</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td colspan='2' align='center'>no prefix means:</td> | ||
+ | <td>1</td> | ||
+ | <td align='center'>10<sup>0</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>deci</td> | ||
+ | <td align='center'>d</td> | ||
+ | <td>0.1</td> | ||
+ | <td align='center'>10¯<sup>1</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>centi</td> | ||
+ | <td align='center'>c</td> | ||
+ | <td>0.01</td> | ||
+ | <td align='center'>10¯<sup>2</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>milli</td> | ||
+ | <td align='center'>m</td> | ||
+ | <td>0.001</td> | ||
+ | <td align='center'>10¯<sup>3</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>micro</td> | ||
+ | <td align='center'>μ</td> | ||
+ | <td>0.000001</td> | ||
+ | <td align='center'>10¯<sup>6</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>nano</td> | ||
+ | <td align='center'>n</td> | ||
+ | <td>0.000000001</td> | ||
+ | <td align='center'>10¯<sup>9</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>pico</td> | ||
+ | <td align='center'>p</td> | ||
+ | <td>0.000000000001</td> | ||
+ | <td align='center'>10¯<sup>12</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>femto</td> | ||
+ | <td align='center'>f</td> | ||
+ | <td>0.000000000000001</td> | ||
+ | <td align='center'>10¯<sup>15</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>atto</td> | ||
+ | <td align='center'>a</td> | ||
+ | <td>0.000000000000000001</td> | ||
+ | <td align='center'>10¯<sup>18</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>zepto</td> | ||
+ | <td align='center'>z</td> | ||
+ | <td>0.000000000000000000001</td> | ||
+ | <td align='center'>10¯<sup>21</sup></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>yocto</td> | ||
+ | <td align='center'>y</td> | ||
+ | <td>0.000000000000000000000001</td> | ||
+ | <td align='center'>10¯<sup>24</sup></td> | ||
+ | </tr> | ||
+ | </table> | ||
====大數字==== | ====大數字==== |
2015年9月15日 (二) 21:52的修訂版本
科學記號
- 基本公式:
- 10m*10n=10m+n
- 10m/10n=10m-n
- 10mn=(10m)n=10m*n
- 100=1
- 101/2=3.16
- 10-m=1/(10m)
各種大小:
- 1024=兆兆,yotta
- 1021=十億兆,zetta
- 1020=億兆
- 1019=千萬兆
- 1018=百萬兆,exa
- 1017=十萬兆
- 1016=萬兆
- 1015=千兆,peta
- 1014=百兆
- 1013=十兆
- 1012=兆,tera
- 1011=千億
- 1010=百億
- 109=十億,giga
- 108=億
- 107=千萬
- 106=百萬,mega
- 105=十萬
- 104=萬
- 103=千,kilo
- 102=百,hecto
- 101=十,deca
- 100=1
- 10-1=0.1,十分之一,deci
- 10-2=0.01,百分之一,centi
- 10-3=0.001,千分之一,毫,milli
- 10-6=0.000001,百萬分之一,微,micro
- 10-9=十億分之一,奈,nano
- 10-12=兆分之一,皮,pico
- 10-15=千兆分之一,飛,femto
- 10-18=百萬兆分之一,阿,atto
- 10-21=十億兆分之一,介,zepto
- 10-24=兆分之一,攸,yocto
公制前綴:
前綴 | 符號 | 數值 | 科學符號 |
yotta | Y | 1,000,000,000,000,000,000,000,000 | 1024 |
zetta | Z | 1,000,000,000,000,000,000,000 | 1021 |
exa | E | 1,000,000,000,000,000,000 | 1018 |
peta | P | 1,000,000,000,000,000 | 1015 |
tera | T | 1,000,000,000,000 | 1012 |
giga | G | 1,000,000,000 | 109 |
mega | M | 1,000,000 | 106 |
kilo | k | 1,000 | 103 |
hecto | h | 100 | 102 |
deca | da | 10 | 101 |
no prefix means: | 1 | 100 | |
deci | d | 0.1 | 10¯1 |
centi | c | 0.01 | 10¯2 |
milli | m | 0.001 | 10¯3 |
micro | μ | 0.000001 | 10¯6 |
nano | n | 0.000000001 | 10¯9 |
pico | p | 0.000000000001 | 10¯12 |
femto | f | 0.000000000000001 | 10¯15 |
atto | a | 0.000000000000000001 | 10¯18 |
zepto | z | 0.000000000000000000001 | 10¯21 |
yocto | y | 0.000000000000000000000001 | 10¯24 |
大數字
- 1庫倫=6.24×1018顆電子的帶電量,6.24百萬兆。
- 1莫耳=6.024×1023顆。6.024千億兆顆質子會剛好等於 1 克。
- 光速,每秒 30 萬公里,3×105公里。
面積與體積公式
延伸學習請參考:
[模板https://zh.wikibooks.org/wiki/Template:%E5%88%9D%E4%B8%AD%E6%95%B8%E5%AD%B8/%E9%9D%A2%E7%A9%8D%E8%88%87%E9%AB%94%E7%A9%8D%E5%85%AC%E5%BC%8F?action=render讀取失敗:HTTP404]