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:
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 |
---|---|---|---|---|
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
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).
The prefix myria- (as in myriad) is obsolete, it meant $ 10^4 = 10000 $
It is the International Committee for Weights and Measures that defined the international unit system, the latest changes took place in November 2022.
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Powers of 10 on dCode.fr [online website], retrieved on 2024-11-21,