| Mathematical Notation
|
| Mathematical Power
|
Name
|
|
| 1018 or 1,000,000,000,000,000,000
|
one quintillion
|
| 1015 or 1,000,000,000,000,000
|
one quadrillion
|
| 1012 or 1,000,000,000,000
|
one trillion
|
| 109 or 1,000,000,000
|
one billion
|
| 106 or 1,000,000
|
one million
|
| 103 or 1,000
|
one thousand
|
| 102 100
|
one hundred
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| 101 or 10
|
ten
|
| 100 or 1
|
one
|
| 10-1 or 0.1
|
one tenth
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| 10-2 or 0.01
|
one hundredth
|
| 10-3 or 0.001
|
one thousandth
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| 10-6 or 0.000 001
|
one millionth
|
| 10-9 or 0.000 000 001
|
one billionth
|
| 10-12 or 0.000 000 000 001
|
one trillionth
|
| 10-15 or 0.000 000 000 000 001
|
one quadrillionth
|
| 10-18 or 0.000 000 000 000 000 001
|
one quintillionth
|
|
|
|
| Metric Interrelationships
|
|
Conversions from a multiple or submultiple to the basic units of meters, liters, or grams can be done using the table. For example, to convert from kilometers to meters, multiply by 1,000 (9.26 kilometers equals 9,260 meters) or to convert from meters to kilometers, multiply by 0.001 (9,260 meters equals 9.26 kilometers)
|
|
| Prefix
|
Symbol
|
Length,
weight,
capacity
|
Area
|
Volume
|
|
| exa
|
E
|
1018
|
1036
|
1054
|
| peta
|
P
|
1015
|
1030
|
1045
|
| tera
|
T
|
1012
|
1024
|
1036
|
| giga
|
G
|
109
|
1018
|
1027
|
| mega
|
M
|
106
|
1012
|
1018
|
| hectokilo
|
hk
|
105
|
1010
|
1015
|
| myria
|
ma
|
104
|
108
|
1012
|
| kilo
|
k
|
103
|
106
|
109
|
| hecto
|
h
|
102
|
104
|
106
|
| deka
|
da
|
101
|
102
|
103
|
| basic unit
|
—
|
1 meter,
|
1 meter2
|
1 meter3
|
|
|
|
1 gram,
|
|
|
|
1 liter
|
| deci
|
d
|
10-1
|
10-2
|
10-3
|
| centi
|
c
|
10-2
|
10-4
|
10-6
|
| milli
|
m
|
10-3
|
10-6
|
10-9
|
| decimilli
|
dm
|
10-4
|
10-8
|
10-12
|
| centimilli
|
cm
|
10-5
|
10-10
|
10-15
|
| micro
|
u
|
10-6
|
10-12
|
10-18
|
| nano
|
n
|
10-9
|
10-18
|
10-27
|
| pico
|
p
|
10-12
|
10-24
|
10-36
|
| femto
|
f
|
10-15
|
10-30
|
10-45
|
| atto
|
a
|
10-18
|
10-36
|
10-54
|
|
|
|
| Equivalents
|
| Unit
|
Metric Equivalent
|
US Equivalent
|
|
| acre
|
0.404 685 64 hectares
|
43,560 feet2
|
| acre
|
4,046.856 4 meters2
|
4,840 yards2
|
| acre
|
0.004 046 856 4 kilometers2
|
0.001 562 5 miles2, statute
|
| are
|
100 meters2
|
119.599 yards2
|
| barrel (petroleum, US)
|
158.987 29 liters
|
42 gallons
|
| barrel (proof spirits, US)
|
151.416 47 liters
|
40 gallons
|
| barrel (beer, US)
|
117.347 77 liters
|
31 gallons
|
| bushel
|
35.239 07 liters
|
4 pecks
|
| cable
|
219.456 meters
|
120 fathoms
|
| chain (surveyor's)
|
20.116 8 meters
|
66 feet
|
| cord (wood)
|
3.624 556 meters3
|
128 feet3
|
| cup
|
0.236 588 2 liters
|
8 ounces, liquid
|
| degrees, celsius
|
(water boils at 100°C,
freezes at 0°C)
|
multiply by 1.8 and add 32
to obtain °F
|
| degrees, fahrenheit
|
subtract 32 and divide
by 1.8 to obtain °C
|
(water boils at 212°F,
freezes at 32°F)
|
| dram, avoirdupois
|
1.771 845 2 grams
|
0.062 5 ounces, avoirdupois
|
| dram, troy
|
3.887 934 6 grams
|
0.125 ounces, troy
|
| dram, liquid (US)
|
3.696 69 milliliters
|
0.125 ounces, liquid
|
| fathom
|
1.828 8 meters
|
6 feet
|
| foot
|
30.48 centimeters
|
12 inches
|
| foot
|
0.304 8 meters
|
0.333 333 3 yards
|
| foot
|
0.000 304 8 kilometers
|
0.000 189 39 miles, statute
|
| foot2
|
929.030 4 centimeters2
|
144 inches2
|
| foot2
|
0.092 903 04 meters2
|
0.111 111 1 yards2
|
| foot3
|
28.316 846 592 liters
|
7.480 519 gallons
|
| foot3
|
0.028 316 847 meters3
|
1,728 inches3
|
| furlong
|
201.168 meters
|
220 yards
|
| gallon, liquid (US)
|
3.785 411 784 liters
|
4 quarts, liquid
|
| gill (US)
|
118.294 118 milliliters
|
4 ounces, liquid
|
| grain
|
64.798 91 milligrams
|
0.002 285 71 ounces, avdp.
|
| gram
|
1,000 milligrams
|
0.035 273 96 ounces, avdp.
|
| hand (height of horse)
|
10.16 centimeters
|
4 inches
|
| hectare
|
10,000 meters2
|
2.471 053 8 acres
|
| hundredweight, long
|
50.802 345 kilograms
|
112 pounds, avoirdupois
|
| hundredweight, short
|
45.359 237 kilograms
|
100 pounds, avoirdupois
|
| inch
|
2.54 centimeters
|
0.083 333 33 feet
|
| inch2
|
6.451 6 centimeters2
|
0.006 944 44 feet2
|
| inch3
|
16.387 064 centimeters3
|
0.000 578 7 feet3
|
| inch3
|
16.387 064 milliliters
|
0.029 761 6 pints, dry
|
| inch3
|
16.387 064 milliliters
|
0.034 632 pints, liquid
|
| kilogram
|
0.001 tons, metric
|
2.204 623 pounds, avdp.
|
| kilometer
|
1,000 meters
|
0.621 371 19 miles, statute
|
| kilometer2
|
100 hectares
|
247.105 38 acres
|
| kilometer2
|
1,000,000 meters2
|
0.386 102 16 miles2, statute
|
| knot (1 nautical mi/hr)
|
1.852 kilometers/hour
|
1.151 statute miles/hour
|
| league, nautical
|
5.559 552 kilometers
|
3 miles, nautical
|
| league, statute
|
4.828 032 kilometers
|
3 miles, statute
|
| link (surveyor's)
|
20.116 8 centimeters
|
7.92 inches
|
| liter
|
0.001 meters3
|
61.023 74 inches3
|
| liter
|
0.1 dekaliter
|
0.908 083 quarts, dry
|
| liter
|
1,000 milliliters
|
1.056 688 quarts, liquid
|
| meter
|
100 centimeters
|
1.093 613 yards
|
| meter2
|
10,000 centimeters2
|
1.195 990 yards2
|
| meter3
|
1,000 liters
|
1.307 951 yards3
|
| micron
|
0.000 001 meter
|
0.000 039 4 inches
|
| mil
|
0.025 4 millimeters
|
0.001 inch
|
| mile, nautical
|
1.852 kilometers
|
1.150 779 4 miles, statute
|
| mile2, nautical
|
3.429 904 kilometers2
|
1.325 miles2, statute
|
| mile, statute
|
1.609 344 kilometers
|
5,280 feet or 8 furlongs
|
| mile2, statute
|
258.998 811 hectares
|
640 acres or 1 section
|
| mile2, statute
|
2.589 988 11 kilometers2
|
0.755 miles2, nautical
|
| minim (US)
|
0.061 611 52 milliliters
|
0.002 083 33 ounces, liquid
|
| ounce, avoirdupois
|
28.349 523 125 grams
|
437.5 grains
|
| ounce, liquid (US)
|
29.573 53 milliliters
|
0.062 5 pints, liquid
|
| ounce, troy
|
31.103 476 8 grams
|
480 grains
|
| pace
|
76.2 centimeters
|
30 inches
|
| peck
|
8.809 767 5 liters
|
8 quarts, dry
|
| pennyweight
|
1.555 173 84 grams
|
24 grains
|
| pint, dry (US)
|
0.550 610 47 liters
|
0.5 quarts, dry
|
| pint, liquid (US)
|
0.473 176 473 liters
|
0.5 quarts, liquid
|
| point (typographical)
|
0.351 459 8 millimeters
|
0.013 837 inches
|
| pound, avoirdupois
|
453.592 37 grams
|
16 ounces, avoirdupois
|
| pound, troy
|
373.241 721 6 grams
|
12 ounces, troy
|
| quart, dry (US)
|
1.101 221 liters
|
2 pints, dry
|
| quart, liquid (US)
|
0.946 352 946 liters
|
2 pints, liquid
|
| quintal
|
100 kilograms
|
220.462 26 pounds, avdp.
|
| rod
|
5.029 2 meters
|
5.5 yards
|
| scruple
|
1.295 978 2 grams
|
20 grains
|
| section (US)
|
2.589 988 1 kilometers2
|
1 mile2, statute or 640 acres
|
| span
|
22.86 centimeters
|
9 inches
|
| stere
|
1 meter3
|
1.307 95 yards3
|
| tablespoon
|
14.786 76 milliliters
|
3 teaspoons
|
| teaspoon
|
4.928 922 milliliters
|
0.333 333 tablespoons
|
| ton, long or deadweight
|
1,016.046 909 kilograms
|
2,240 pounds, avoirdupois
|
| ton, metric
|
1,000 kilograms
|
2,204.623 pounds, avdp.
|
| ton, register
|
2.831 684 7 meters3
|
100 feet2
|
| ton, short
|
907.184 74 kilograms
|
2,000 pounds, avoirdupois
|
| township (US)
|
93.239 572 kilometers2
|
36 miles2, statute
|
| yard
|
0.914 4 meters
|
3 feet
|
| yard2
|
0.836 127 36 meters2
|
9 feet2
|
| yard3
|
0.764 554 86 meters3
|
27 feet3
|
| yard3
|
764.554 857 984 liters
|
201.974 gallons
|
|