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 word powers:
“The powers of the federal government ... result from the compact to which the states are parties, [and are] limited by the plain sense and intention of the instrument constituting that compact.”
—James Madison (1751–1836)