# Mathematical Notation Mathematical Power Name 10^18 or 1,000,000,000,000,000,000 one quint

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Mathematical Notation
Mathematical Power                    Name
10^18 or 1,000,000,000,000,000,000    one quintillion
10^12 or 1,000,000,000,000            one trillion
10^9 or 1,000,000,000                 one billion
10^6 or 1,000,000                     one million
10^3 or 1,000                         one thousand
10^2 or 100                           one hundred
10^1 or 10                            ten
10^0 or 1                             one
10^-1 or 0.1                          one tenth
10^-2 or 0.01                         one hundredth
10^-3 or 0.001                        one thousandth
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,    Area       Volume
weight,
capacity
exa          E         10^18      10^36      10^54
peta         P         10^15      10^30      10^45
tera         T         10^12      10^24      10^36
giga         G         10^9       10^18      10^27
mega         M         10^6       10^12      10^18
hectokilo    hk        10^5       10^10      10^15
myria        ma        10^4       10^8       10^12
kilo         k         10^3       10^6       10^9
hecto        h         10^2       10^4       10^6
basic unit   -         1 meter,   1 meter^2  1 meter^3
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 feet^2
acre                    4,046,856 4 meters^2         4,840 yards^2
acre                    0.004 046 856 4              0.001 562 5 miles^2,
kilometers^2                 statute
are                     100 meters^2                 119.599 yards^2
barrel (petroleum, US)  158.987 29 liters            42 gallons
barrel (proof spirits,  151.416 47 liters            40 gallons
US)
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 meters^3           128 feet^3
cup                     0.236 588 2 liters           8 ounces, liquid (US)
degrees, celsius        (water boils at 100.         multiply by 1.8 and add
degrees C, freezes at 0. C)  32 to obtain .F
degrees, fahrenheit     subtract 32 and divide by    (water boils at 212 .F,
1.8 to obtain .C             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
foot                    0.304 8 meters               0.333 333 3 yards
foot                    0.000 304 8 kilometers       0.000 189 39 miles,
statute
foot^2                  929.030 4 centimeters^2      144 inches^2
foot                    2 0.092 903 04 meters^2      0.111 111 1 yards^2
foot^3                  28.316 846 592 liters        7.480 519 gallons
foot^3                  0.028 316 847 meters^3       1,728 inches^3
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,
gram                    1,000 milligrams             0.035 273 96 ounces,
hand (height of horse)  10.16 centimeters            4 inches
hectare                 10,000 meters^2              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 centimeters^2        0.006 944 44 feet^2
inch3                   16.387 064 centimeters^3     0.000 578 7 feet^3
inch3                   16.387 064 milliliters       0.029 761 6 pints, dry
inch3                   16.387 064 milliliters       0.034 632 0 pints, liquid
kilogram                0.001 tons, metric           2.204 623 pounds,
avoirdupois
kilometer               1,000 meters                 0.621 371 19 miles,
statute
kilometer^2             100 hectares                 247.105 38 acres
kilometer^2             1,000,000 meters^2           0.386 102 16 miles^2,
statute
knot (1 nautical        1.852 kilometers/hour        1.151 statute miles/hour
mi/hr)
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 meters^3               61.023 74 inches^3
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
meter^2                 10,000 centimeters^2         1.195 990 yards^2
meter^3                 1,000 liters                 1.307 951 yards^3
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
mile^2, nautical        3.429 904 kilometers^2       1.325 miles^2, statute
mile, statute           1.609 344 kilometers         5,280 feet or 8 furlongs
mile^2, statute         258.998 811 hectares         640 acres or 1 section
mile^2, statute         2.589 988 11 kilometers^2    0.755 miles^2, 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, avourdupois
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 kilometers^2     1 mile2, statute or 640
acres
span                    22.86 centimeters            9 inches
stere                   1 meter3                     1.307 95 yards^3
tablespoon              14.786 76 milliliters        3 teaspoons
teaspoon                4.928 922 milliliters        0.333 333 tablespoons
ton, long or            1,016.046 909 kilograms      2,240 pounds, avoirdupois

ton, metric             1,000 kilograms              2,204.623 pounds,
avoirdupois
ton, metric             1,000 kilograms              32,150.75 ounces, troy
ton, register           2.831 684 7 meters^3         100 feet^3
ton, short              907.184 74 kilograms         2,000 pounds, avoirdupois
township (US)           93.239 572 kilometers^2      36 miles^2, statute
yard                    0.914 4 meters               3 feet
yard^2                  0.836 127 36 meters^2        9 feet^2
yard^3                  0.764 554 86 meters^3        27 feet^3
yard^3                  764.554 857 984 liters       201.974 gallons

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