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Powers of 10

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)

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Powers of 10 -

Tag(s) : Mathematics, Notation System

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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

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 NameISU PrefixValueCommon Name
1030QuettaQ1000000000000000000000000000000
1027RonnaR1000000000000000000000000000
1024YottaY1000000000000000000000000
1021ZetaZ1000000000000000000000
1018ExaE1000000000000000000
1015PetaP1000000000000000
1012TeraT1000000000000one thousand billion
109GigaG1000000000one billion
106MegaM1000000one million
103kilok1000one thousand
102hectoh100one hundred
1001one
10-1decid0.1one tenth
10-2centic0.01one hundredth
10-3millim0.001one thousandth
10-6microµ0.000001one millionth
10-9nanon0.000000001one billionth
10-12picop0.000000000001
10-15femtof0.000000000000001
10-18attoa0.000000000000000001
10-21zeptoz0.000000000000000000001
10-24yoctoy0.000000000000000000000001
10-27rontor0.000000000000000000000000001
10-30quectoq0.000000000000000000000000000001

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The prefix myria- (as in myriad) is obsolete, it meant $10^4 = 10000$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.

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Powers of 10 on dCode.fr [online website], retrieved on 2024-06-15, https://www.dcode.fr/powers-of-10

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