Powers Of 10
In mathematics, a power of ten is any of the integer powers of the number ten; in other words, ten multiplied by itself a certain number of times. By definition, the number one is a power (the zeroth power) of ten. The first few powers of ten are:
- 1, 10, 100, 1000, 10000, 100000, 1000000, 1000000000 ... (sequence A011557 in OEIS)
| Name | Power | Number | SI symbol | SI prefix |
|---|---|---|---|---|
| One | 0 | 1 | - | uni |
| Ten | 1 | 10 | da | deca |
| Hundred | 2 | 100 | h | hecto |
| Thousand | 3 | 1,000 | k | kilo |
| Million | 6 | 1,000,000 | M | mega |
| Billion (Milliard) | 9 | 1,000,000,000 | G | giga |
| Trillion (Billion) | 12 | 1,000,000,000,000 | T | tera |
| Quadrillion | 15 | 1,000,000,000,000,000 | P | peta |
| Quintillion | 18 | 1,000,000,000,000,000,000 | E | exa |
| Sextillion | 21 | 1,000,000,000,000,000,000,000 | Z | zetta |
| Septillion | 24 | 1,000,000,000,000,000,000,000,000 | Y | yotta |
In decimal notation the nth power of ten is written as '1' followed by n zeroes. It can also be written as 10n or as 1En in E notation. See order of magnitude and orders of magnitude (numbers) for named powers of ten.
The sequence of powers of ten can also be extended to negative powers:
| Name | Power | Number | SI symbol | SI prefix |
|---|---|---|---|---|
| Tenth | −1 | 0.1 | d | deci |
| Hundredth | −2 | 0.01 | c | centi |
| Thousandth | −3 | 0.001 | m | milli |
| Millionth | −6 | 0.000 001 | μ | micro |
| Billionth | −9 | 0.000 000 001 | n | nano |
| Trillionth | −12 | 0.000 000 000 001 | p | pico |
| Quadrillionth | −15 | 0.000 000 000 000 001 | f | femto |
| Quintillionth | −18 | 0.000 000 000 000 000 001 | a | atto |
| Sextillionth | −21 | 0.000 000 000 000 000 000 001 | z | zepto |
| Septillionth | −24 | 0.000 000 000 000 000 000 000 001 | y | yocto |
Read more about Powers Of 10: Googol, Scientific Notation
Famous quotes containing the words powers of and/or powers:
“Great Powers of falling wave and wind and windy fire,
With your harmonious choir
Encircle her I love and sing her into peace,
That my old care may cease....”
—William Butler Yeats (1865–1939)
“Imperialism is capitalism at that stage of development at which the dominance of monopolies and finance capitalism is established; in which the export of capital has acquired pronounced importance; in which the division of the world among the international trusts has begun, in which the division of all territories of the globe among the biggest capitalist powers has been completed.”
—Vladimir Ilyich Lenin (1870–1924)