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POWERS OF TEN, PLAINLY

Every step is
a power of ten.

10³⁰ to 10⁻³⁰

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Kilo, mega, giga: each is just ten multiplied by itself.

The International System of Units has 24 official prefixes, from quecto (10⁻³⁰) to quetta (10³⁰). Learn the pattern once and kilograms, nanometres and gigabytes all read the same way.

Pick a prefix

THE SHORT ANSWER

A prefix is a
power of ten.

Put a prefix in front of a unit
and you multiply it by a fixed power of ten.

BIG

Capitals for the large

Mega (M), giga (G) and tera (T) mean 10⁶, 10⁹ and 10¹². NIST notes that multiples use capital symbols, except kilo (k), hecto (h) and deca (da).

Pick a prefix

SMALL

Lowercase for the tiny

Milli (m), micro (µ) and nano (n) mean 10⁻³, 10⁻⁶ and 10⁻⁹. Every prefix for a fraction of a unit uses a lowercase symbol.

See the range

PATTERN

Mostly in thousands

Apart from hecto, deca, deci and centi, each prefix is 1,000 times the one before it, so kilo to mega to giga is ×1,000 each time.

Read them quickly
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FOUR WAYS TO READ THEM

Big numbers,
without the zeros.

You do not need to memorise all 24. A few habits make most prefixes you meet on labels, screens and science pages easy to read.

  1. Count in threes

    From kilo upwards and milli downwards, each named step is a factor of 1,000: three more zeros, or three more places after the point.

  2. Check the case of the letter

    M is mega (a million) but m is milli (a thousandth). The capital or lowercase letter changes the size a billionfold.

  3. Never stack prefixes

    Compound prefixes are not allowed, so a thousandth of a gram is 1 mg, never 1 µkg.

  4. Use the nearest prefix

    Earth's mass is about 6 ronnagrams rather than 6,000 yottagrams. Pick the prefix that keeps the number small and readable.

TWO NUMBERS WORTH KNOWING

Sixty powers of ten,
four of them new.

One figure on how far the prefixes reach,
one on the most recent change.

60 steps

Powers of ten from quecto to quetta

The official list runs from quecto, 10⁻³⁰, to quetta, 10³⁰: sixty powers of ten from the smallest prefix to the largest, covered by 24 named prefixes.

RANGE · BIPM

4 new

Prefixes added at the 27th CGPM

Ronna, quetta, ronto and quecto were added in 2022, the first new prefixes since zetta, yotta, zepto and yocto in 1991.

2022 · CGPM

The CGPM resolution cites the needs of data science to express digital information beyond 10²⁴, and the wish to stop unofficial prefix names being adopted in other communities.

PICK A PREFIX

How big is
that prefix?

Choose a prefix to see the power of ten it stands for. The bar shows whether it shrinks a unit or grows it.

Values from the BIPM list of SI prefixes and the NIST prefix table.

Prefix check

Choose a prefix
nano (n)10⁻⁹

One billionth of a unit. A nanometre is a billionth of a metre; nano was added to the SI in 1960.

milli (m)10⁻³

One thousandth. One of the original prefixes from 1795, as in millimetre and millilitre.

kilo (k)10³

One thousand. The kilogram is the only SI base unit with a prefix in its name, so other mass prefixes go on the gram: 1 mg, not 1 µkg.

giga (G)10⁹

One thousand million, or a billion. Added with mega and tera in 1960, as in gigawatt.

ronna (R)10²⁷

Added in 2022. Earth's mass, about 5.97 × 10²⁴ kg, comes to roughly 6 ronnagrams.

Sources: BIPM SI prefixes; NIST Metric (SI) Prefixes, including the timeline of when each prefix was adopted; NASA Earth Fact Sheet for Earth's mass.

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SCALE IN THE SOLAR SYSTEM

Light time makes
the scale real.

NASA describes distances by how long light takes to cross them. Light moves at about 300,000 km per second and takes about 8.3 minutes to travel the 149,600,000 km from the Sun to Earth.

In prefixes, that distance is about 150 gigametres. NASA puts the nearest star, Proxima Centauri, at about 4.2 light years away, which is about 265,000 times the Sun to Earth distance.

In conversation

Questions people ask

How many SI prefixes are there?

Twenty-four. The BIPM list runs from quecto (10⁻³⁰) up to quetta (10³⁰), including familiar ones such as milli, kilo, mega and giga.

What are all 24 SI prefixes?

The twelve multiples, from the largest: quetta (Q) 10³⁰, ronna (R) 10²⁷, yotta (Y) 10²⁴, zetta (Z) 10²¹, exa (E) 10¹⁸, peta (P) 10¹⁵, tera (T) 10¹², giga (G) 10⁹, mega (M) 10⁶, kilo (k) 10³, hecto (h) 10² and deca (da) 10¹. The twelve submultiples: deci (d) 10⁻¹, centi (c) 10⁻², milli (m) 10⁻³, micro (µ) 10⁻⁶, nano (n) 10⁻⁹, pico (p) 10⁻¹², femto (f) 10⁻¹⁵, atto (a) 10⁻¹⁸, zepto (z) 10⁻²¹, yocto (y) 10⁻²⁴, ronto (r) 10⁻²⁷ and quecto (q) 10⁻³⁰.

When was each SI prefix added?

Deca, hecto, kilo, deci, centi and milli survive from the eight original prefixes of 1795. Mega, giga, tera, micro, nano and pico were added in 1960, femto and atto in 1964, peta and exa in 1975, zetta, yotta, zepto and yocto in 1991, and ronna, quetta, ronto and quecto in 2022. The other two 1795 prefixes, myria and myrio, were dropped in 1960.

When were the newest prefixes added?

In 2022, at the 27th General Conference on Weights and Measures (CGPM). Ronna (10²⁷), quetta (10³⁰), ronto (10⁻²⁷) and quecto (10⁻³⁰) joined the list. The previous additions were in 1991.

Why were new prefixes needed?

The CGPM resolution points to data science needing to express amounts of digital information larger than 10²⁴, and to the risk of unofficial prefix names catching on. Very small ones help in quantum science and particle physics.

Why is kilo a lowercase k?

NIST explains that symbols for multiples are capitals except for kilo (k), hecto (h) and deca (da), while all symbols for submultiples are lowercase. So k is kilo, while M is mega and m is milli.

Is deca or deka correct?

Both refer to 10¹. The BIPM list uses deca; NIST uses deka, following American English spelling, and notes deca as the British spelling. The symbol is da either way.

What is 10 to the power of 30 called?

Quetta, the largest SI prefix: one quetta is 10³⁰. It was added in 2022, together with ronna (10²⁷), ronto (10⁻²⁷) and quecto (10⁻³⁰), the first new prefixes since 1991.

Sources

Each figure on this page comes from the sources below.

  1. BIPM: SI prefixes
  2. BIPM: CGPM Resolution 3 (2022), on the extension of the range of SI prefixes
  3. NIST: Metric (SI) Prefixes
  4. NASA Science: Basics of Space Flight, The Solar System
  5. NASA: Earth Fact Sheet
  6. NPR: New unit measurement prefixes are added to the metric system (2022)

What changed

  • : Added FAQs listing all 24 SI prefixes with symbols and powers of ten (BIPM SI prefixes table) and when each was adopted (NIST Metric (SI) Prefixes timeline).

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