Tíz hatványai

NAGYON NAGY SZÁMOK esetében (pl. a csillagászat vagy a nagyenergiájú fizika területén) vagy NAGYON KIS SZÁMOK esetében (pl. sejtbiológia, molekulák, atomok, atommagok, kvarkok) a fizikai mennyiségeket kényelmesebb tíz hatványai segítségével megadni.

NAGYON NAGY SZÁMOK:

"in words"

"in words"

One 100 1. "ten to the zero"
ten 101 10. "ten to the one"
hundred 102 100. "ten to the two"
thousand 103 1,000. "ten to the three"
ten thousand 104 10,000. "ten to the four"
hundred thousand 105 100,000. "ten to the five"
million 106 1,000,000. "ten to the six"
ten million 107 10,000,000. "ten to the seven"
hundred million 108 100,000,000. "ten to the eight"
billion 109 1,000,000,000. "ten to the nine"
ten billion 1010 10,000,000,000. "ten to the ten"
hundred billion 1011 100,000,000,000. "ten to the eleven"
trillion 1012 1,000,000,000,000. "ten to the twelve"
ten trillion 1013 10,000,000,000,000. "ten to the thirteen"
hundred trillion 1014 100,000,000,000,000. "ten to the fourteen"
Names are on threes... on 3, 6, 9 (thousand, million, billion).   ,000,

The names "billion" and "trillion" mean different things in different countries. This is the US version.
There are a few more names after "trillion", but they are almost never used.

NAGYON KIS SZÁMOK:

"in words"

"in words"

One 100 1. "ten to the zero"
tenth 10-1 0.1 "ten to the minus one"
hundredth 10-2 0.01. "ten to the minus two"
thousandth 10-3 0.001. "ten to the minus three"
ten thousand 10-4 0.0001. "ten to the minus four"
hundred thousandth 10-5 0.00001. "ten to the minus five"
millionth 10-6 0.000001 "ten to the minus six"
ten millionth 10-7 0.0000001. "ten to the minus seven"
hundred millionth 10-8 0.00000001. "ten to the minus eight"
billionth 10-9 0.000000001. "ten to the minus nine"
ten billionth 10-10 0.0000000001. "ten to the minus ten"
hundred billionth 10-11 0.00000000001. "ten to the minus eleven"
trillionth 10-12 0.000000000001 "ten to the minus twelve"
ten trillionth 10-13 0.0000000000001. "ten to the minus thirteen"
hundred trillionth 10-14 0.00000000000001. "ten to the minus fourteen"

EXAMPLES of LARGE NUMBERS:

1 AU = 150,000,000 km = 1.5x l08 km = 9.2 x l07miles
Mass of the Sun = 1 Solar Mass = 2.0 x 1030 kg
1 kilometer      = 1 km = 103 m  ~ 5/8 mile

Energies of Fermilab's Chain of Accelerators:
Cockroft Walton:  750 KeV (Kilo-electron volts, thousand electron volts)
    = 750 times 103 electron volts 
Linac (Linear Accelerator): 400 MeV ( Mega electron volts, million electron volts)
    = 400 times 106 electron volts
Booster, Recycler, Debuncher, Accumulator accelerators:
          8 GeV (Giga-electron volts, billion (U.S.) electron volts)
        = 8 times 109 electron volts
Main Injector:  150 GeV = 150 x
109 electron volts = 1.5 x 1011 electron volts
Tevatron: 0.98 TeV (Tera electron volts, trillion electron volts) = nearly 1012 electron volts

EXAMPLES of SMALL NUMBERS:

1 centimeter     = 1 cm = 10-2 m  ~ 2/5 inch width of a pen
1 millimeter     = 1 mm = 10-3 m  ~ 1/25 inch width of lead in pencil
1 micrometer  =  1 micron  =  10-6
           High power microscopes look at objects as small as a few micrometers
1 microsecond = 10-6 seconds
          The lifetime of a mu-lepton is about 2 microseconds
1 nanosecond = 10-9 seconds
          A pi-meson lives on the average for 26 nanoseconds
         
A particle at the speed of light travels about one foot in one nanosecond. 

cable.gif (3876 bytes)

In an ordinary coax cable an electrical pulse travels about 2/3 the speed of light.  A cable 18 inches long will delay an electrical pulse for one nanosecond.

1 nm  =  1 nanometer  =  10-9 m
1 Ĺ  =  1 Ĺngstrom  = 10-10 m
     The wavelength of VISIBLE light ranges from about 7000 Ĺ (red) to 4000 Ĺ (violet)
1 Fermi = 10-15 meters
          The radius of a proton is about 1.2 Fermis

Return to "How Big is an Electron Volt?"

rev.  E.M.  August 28, 2000