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
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Powers of 10
Scientific Notation Converter
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:
Powers of 10 Converter
Answers to Questions (FAQ)
What is a power of 10? (Definition)
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)
What is the list of the powers of 10?
The table of prefixes for powers of 10 from the International System of Unit (ISU) is:
| - | Prefix Name | ISU Prefix | Value | Common Name |
|---|---|---|---|---|
| 1030 | Quetta | Q | 1000000000000000000000000000000 | |
| 1027 | Ronna | R | 1000000000000000000000000000 | |
| 1024 | Yotta | Y | 1000000000000000000000000 | |
| 1021 | Zeta | Z | 1000000000000000000000 | |
| 1018 | Exa | E | 1000000000000000000 | |
| 1015 | Peta | P | 1000000000000000 | |
| 1012 | Tera | T | 1000000000000 | one thousand billion |
| 109 | Giga | G | 1000000000 | one billion |
| 106 | Mega | M | 1000000 | one million |
| 103 | kilo | k | 1000 | one thousand |
| 102 | hecto | h | 100 | one hundred |
| 101 | deca | da | 10 | ten |
| 100 | 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 | |
| 10-27 | ronto | r | 0.000000000000000000000000001 | |
| 10-30 | quecto | q | 0.000000000000000000000000000001 |
It is possible to code a message:
Example: DCODE with -1,-2,0,-1,18 or dc0dE
What are the letters for representing powers of 10?
Letters are Q R Y Z E P T G M k h d c m µ n p f a z y r q (beware of upper and lower case).
What is the myria- prefix?
The prefix myria- (as in myriad) is obsolete, it meant $ 10^4 = 10000 $
Who decides on the names of the power of 10 prefixes?
It is the International Committee for Weights and Measures that defined the international unit system, the latest changes took place in November 2022.
Source code
dCode retains ownership of the "Powers of 10" source code. Except explicit open source licence (indicated Creative Commons / free), the "Powers of 10" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Powers of 10" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Powers of 10" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.
Cite dCode
The copy-paste of the page "Powers of 10" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!
Exporting results as a .csv or .txt file is free by clicking on the export icon
Cite as source (bibliography):
Powers of 10 on dCode.fr [online website], retrieved on 2024-12-21,
