10000 = 1 x 10^{4} | 24327 = 2.4327 x 10^{4} |

1000 = 1 x 10^{3} | 7354 = 7.354 x 10^{3} |

100 = 1 x 10^{2} | 482 = 4.82 x 10^{2} |

10 = 1 x 10^{1} | 89 = 8.9 x 10^{1} (not usually done) |

1 = 10^{0} | |

1/10 = 0.1 = 1 x 10^{-1} | 0.32 = 3.2 x 10^{-1} (not usually done) |

1/100 = 0.01 = 1 x 10^{-2} | 0.053 = 5.3 x 10^{-2} |

1/1000 = 0.001 = 1 x 10^{-3} | 0.0078 = 7.8 x 10^{-3} |

1/10000 = 0.0001 = 1 x 10^{-4} | 0.00044 = 4.4 x 10^{-4} |

Powers of Ten |

billions10 ^{9} = 1,000,000,00010 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000,000 |

millions10 ^{6} = 1,000,00010 x 10 x 10 x 10 x 10 x 10 = 1,000,000 |

hundred thousands10 ^{5} = 100,00010 x 10 x 10 x 10 x 10 = 100,000 |

ten thousands10 ^{4} = 10,00010 x 10 x 10 x 10 = 10,000 |

thousands10 ^{3} = 1,00010 x 10 x 10 = 1,000 |

hundreds10 ^{2} = 10010 x 10 = 100 |

tens10 ^{1} = 10 |

ones10 ^{0} = 1 |

tenths10 ^{–1} = 1/101/10 = 0.1 |

hundredths10 ^{–2} = 1/10^{2}1/10 ^{2} = 0.01 |

thousandths10 ^{–3} = 1/10^{3}1/10 ^{3} = 0.001 |

ten thousandths10 ^{–4} = 1/10^{4}1/10 ^{4} = 0.0001 |

hundred thousandths10 ^{–5} = 1/10^{5}1/10 ^{5} = 0.00001 |

millionths10 ^{–6} = 1/10^{6}1/10 ^{6} = 0.000001 |

billionths10 ^{–9} = 1/10^{9}1/10 ^{9} = 0.000000001 |

Metric Prefix | Symbol | Multiplier (Traditional Notation) | Exponential | Description |
---|---|---|---|---|

Yotta | Y | 1,000,000,000,000,000,000,000,000 | 10^{24} | Septillion |

Zetta | Z | 1,000,000,000,000,000,000,000 | 10^{21} | Sextillion |

Exa | E | 1,000,000,000,000,000,000 | 10^{19} | Quintillion |

Peta | P | 1,000,000,000,000,000 | 10^{15} | Quadrillion |

Tera | T | 1,000,000,000,000 | 10^{12} | Trillion |

Giga | G | 1,000,000,000 | 10^{9} | Billion |

Mega | M | 1,000,000 | 10^{6} | Million |

kilo | k | 1,000 | 10^{3} | Thousand |

hecto | h | 100 | 10^{2} | Hundred |

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

base | b | 1 | 10 | One |

deci | d | 1/10 | 10^{-1} | Tenth |

cent' | c | 1/100 | 10^{-2} | Hundredth |

milli | m | 1/1,000 | 10^{-3} | Thousandth |

micro | P | 1/1,000,000 | 10^{-6} | Millionth |

nano | n | 1/1,000,000,000 | 10^{-9} | Billionth |

pico | p | 1/1,000,000,000,000 | 10^{-12} | Trillionth |

femto | f | 1/1,000,000,000,000,000 | 10^{-15} | Quadrillionth |

atto | a | 1/1,000,000,000,000,000,000 | 10^{-18} | Quintillionth |

zepto | z | 1/1,000,000,000,000,000,000,000 | 10^{-21} | Sextillionth |

yocto | y | 1/1,000,000,000,000,000,000,000,000 | 10^{-24} | Septillionth |