Units and Their Converstions

Units Conversion (Area)

Area

1 square foot = 144 square inches

1 square yard = 9 square feet

1 acre = 208.71 feet square

1 acre = 43,560 square feet

1 square centimeter = 100 square millimeters

1 square meter = 10,000 square centimeters

Units Conversion (Volume)

Volume

1 cubic centimeter = 1,000 cubic millimeters

1 cubic meter = 1,000,000 cubic centimeters

1 cubic foot = 1728 cubic inches

1 cubic yard = 27 cubic feet

1 cup = 8 fluid ounces

1 quart = 4 cups

1 gallon = 4 quarts

1 gallon = 231 cubic inches

1 liter = 0.264 gallons

Units Conversion (Length)

Length

1 meter = 10 decimeters

1 meter = 100 centimeters

1 meter = 1,000 millimeters

1 kilometer = 1,000 meters

1 kilometer = 0.62 miles

1 mile = 1,760 yards

1 mile = 5,280 feet

1 mile = 1.61 kilometers

1 foot = 0.3048 meters

1 foot = 12 inches

1 inch = 2.540 centimeters

1 yard = 3 feet

1 yard = 36 inches

Units Conversion (Length)

Length

1 meter = 10 decimeters

1 meter = 100 centimeters

1 meter = 1,000 millimeters

1 kilometer = 1,000 meters

1 kilometer = 0.62 miles

1 mile = 1,760 yards

1 mile = 5,280 feet

1 mile = 1.61 kilometers

1 foot = 0.3048 meters

1 foot = 12 inches

1 inch = 2.540 centimeters

1 yard = 3 feet

1 yard = 36 inches

Decimal, Binary and Hexadecimal Number Conversion

Decimal	Binary	Hexadecimal
0	0	0
1	1	1
2	10	2
3	11	3
4	100	4
5	101	5
6	110	6
7	111	7
8	1000	8
9	1001	9
10	1010	A
11	1011	B
12	1100	C
13	1101	D
14	1110	E
15	1111	F
16	10000	10
17	10001	11
18	10010	12
19	10011	13
20	10100	14

Units Conversion (Mass)

Mass

1 kilogram = 1,000 grams

1 kilogram = 2.2046 pounds

1 gram = 1,000 milligrams

1 metric tonne = 1,000 kilograms

1 metric tonne = 1.102 short tons

1 short tone = 2,000 pounds

1 pound = 16 ounces

1 pound = 453.593 grams

1 ounce = 28.350 grams

1 ton = 2,000 pounds

Polygon Names

Side	Name
n	N-gon
1	monogon
2	digon
3	trigon (triangle)
4	tetragon (quadrilateral)
5	pentagon
6	hexagon
7	heptagon
8	octagon
9	enneagon
10	decagon
11	hendecagon
12	dodecagon
13	triskaidecagon
14	tetrakaidecagon (tetradecagon)
15	pentakaidecagon (pentadecagon)
16	hexakaidecagon (hexadecagon)
17	heptakaidecagon
18	octakaidecagon
19	enneakaidecagon
20	icosagon
30	triacontagon
40	tetracontagon
50	pentacontagon
60	hexacontagon
70	heptacontagon
80	octacontagon
90	enneacontagon
100	hectogon (hecatontagon)
1000	chiliagon
10000	myriagon

Rules for Addition

Rules for Addition	Examples
If a and b are both positive, then a + b = |a| + |b|	3 + 7 = 10
If a and b are both negative, then a + b = -(|a| + |b|)	-6 + (-2) = -(6 + 2) = -8
If a is positive and b is negative and a has the greater absolute value, then a + b = |a| - |b|	8 + (-5) = 8 - 5 = 3
If a is positive and b is negative and b has the greater absolute value, then a + b = -(|b| - |a|)	4 + (-9) = -(9 - 4) = -5
If a and b are opposites, then a + b = 0	2 + (-2) = 0

Names of Big Numbers (American System)

101	Ten
102	Hundred
103	Thousand
106	Million
109	Billion
1012	Trillion
1015	Quadrillion
1018	Quintillion
1021	Sextillion
1024	Septillion
1027	Octillion
1030	Nonillion
1033	Decillion
1036	Undecillion
1039	Duodecillion
1042	Tredecillion
1045	Quattuordecillion
1048	Quindecillion
1051	Sexdecillion
1054	Septendecillion
1057	Octodecillion
1060	Novemdecillion
1063	Vigintillion

 

 

Roman Numerals

One	I
Two	II
Three	III
Four	IV
Five	V
Six	VI
Seven	VII
Eight	VIII
Nine	IX
Ten	X
Eleven	XI
Twelve	XII
Thirteen	XIII
Fourteen	XIV
Fifteen	XV
Sixteen	XVI
Seventeen	XVII
Eighteen	XVIII
Nineteen	XIX
Twenty	XX
Thirty	XXX
Forty	XL
Fifty	L
Sixty	LX
Seventy	LXX
Eighty	LXXX
Ninety	XC
One hundred	C
Five hundred	D
One thousand	M

 

Fundamental Physical Constants

Constant Name	Value	Units
Avogadro constant	6.0221367E+23	1/mole
Bohr radius	0.529177249E-10	M
Boltzmann constant	1.380658E-23	J/K
electron mass	9.1093897E-31	Kg
elementary charge	1.60217733E-19	C
Faraday constant	96485.309	C / mol
fine-structure constant	7.29735308E-3
inverse fine-structure constant	137.0359895
Josephson frequency-voltage quotient	4.8359767E+14	Hz/V
magnetic flux quantum	2.067834E-15	Wb
molar gas constant	8.314510	J/(mol K)
Newtonian gravitational constant	6.67259E-11	(m^3)/(kg s^2)
permeability of vacuum	1.2566370614E-6	N/(A^2)
permittivity of vacuum	8.854187817E-12	F/m
Planck constant	6.6260755E-34	J s
Plank mass	2.17671E-8	Kg
Plank length	1.61605E-35	M
Plank time	5.39056E-44	S
proton mass	1.6605402E-27	Kg
proton-electron mass ratio	1836.152701
Rydberg constant	10973731.534	1/m
speed of light in vacuum	299792458	m/s
Stefan-Boltzmann constant	5.67051E-8	W/(m^2 K^4)