Tool to find the number or the name of powers of 10. The International Unit System uses prefixes that simplify the use of powers of ten (k = kilo = 10^3 = 1000)

Powers of 10 - dCode

Tag(s) : Mathematics, Notation System

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This page deals with the prefixes of the units of the international system, the powers of 10 (Kilo, Mega, Giga, etc.). To convert numbers to scientific notation $ 1.23 \times 10^4 $ , dCode has a tool for that:

⮞ Go to: Scientific Notation

A power of 10 is any number that is multiple of 10, which allows writing to be finite decimal.

— $ 10 ^ n $ with $ n $ positive or zero integer is the number composed of the number 1 followed by $ n $ zeros.

__Example:__ 10^3 = 1000 (3 zeros)

— $ 10 ^ -n $ with $ n $ positive integer is the number composed of the digit 1 in the nth position preceded by $ n $ zeros with a dot after the first zero.

__Example:__ 10^(-3) = 0.001 (3 zeros)

The table of prefixes for powers of 10 from the International System of Unit (ISU) is:

- | Prefix Name | ISU Prefix | Value | Common Name |
---|---|---|---|---|

10^{24} | Yotta | Y | 1000000000000000000000000 | |

10^{21} | Zeta | Z | 1000000000000000000000 | |

10^{18} | Exa | E | 1000000000000000000 | |

10^{15} | Peta | P | 1000000000000000 | |

10^{12} | Tera | T | 1000000000000 | one thousand billion |

10^{9} | Giga | G | 1000000000 | one billion |

10^{6} | Mega | M | 1000000 | one million |

10^{3} | kilo | k | 1000 | one thousand |

10^{2} | hecto | h | 100 | one hundred |

10^{1} | deca | da | 10 | ten |

10^{0} | 1 | one | ||

10^{-1} | deci | d | 0.1 | one tenth |

10^{-2} | centi | c | 0.01 | one hundredth |

10^{-3} | milli | m | 0.001 | one thousandth |

10^{-6} | micro | µ | 0.000001 | one millionth |

10^{-9} | nano | n | 0.000000001 | one billionth |

10^{-12} | pico | p | 0.000000000001 | |

10^{-15} | femto | f | 0.000000000000001 | |

10^{-18} | atto | a | 0.000000000000000001 | |

10^{-21} | zepto | z | 0.000000000000000000001 | |

10^{-24} | yocto | y | 0.000000000000000000000001 |

It is possible to code a message:

__Example:__ `DCODE` with `-1,-2,0,-1,18` or `dc0dE`

Letters are Y Z E P T G M k h d c m µ n p f a z y.

The prefix myria- (as in *myriad*) is obsolete, it meant $ 10^4 = 10000 $

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