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Solve mathematical problems with Google's built-in calculator function. Simply enter the expression you'd like evaluated in Google's web search box and hit the ENTER key or click the "Google Search" button. | |||||||
BASIC ARITHMETIC | |||||||
OPERATOR | MEANING | TYPE INTO SEARCH BOX | |||||
+ or plus | addition | 12 + 34 or three plus four | |||||
– or minus | subtraction | 3.4 - 5.6 or five minus two | |||||
* or times | multiplication | 56 * 7 or six times nine | |||||
/ or divided by | division | 7 / 8 or ten divided by two | |||||
% of or percent of | percentage of | 45% of 39 | |||||
mod or % | modulo (the remainder after division) | 15 mod 9 or 15 % 9 | |||||
^ or ** | raise to a power | 2^5 or 2**5 | |||||
the nth root of | nth root | 4th root of 16, sqrt(16), cube root of 109 | |||||
reciprocal of | multiplicative inverse | reciprocal of 7 | |||||
ADVANCED MATH | |||||||
The following table lists some of the functions built into Google's calculator. | |||||||
OPERATOR | FUNCTION | TYPE INTO SEARCH BOX | |||||
sin, cos, tan, sec, csc, cot |
trig functions (arguments are assumed to be in radians) | cos(pi/3) |
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arcsin, arccos, arctan, arccsc, etc. | inverse trigonometric functions | arccos(.5) | |||||
sinh, cosh, tanh, csch, arsinh, arccsch, etc. | hyperbolic functions | cosh(6) | |||||
ln | logarithm base e | ln(16) | |||||
log | logarithm base 10 | log(16) | |||||
lg | logarithm base 2 | lg(16) | |||||
exp | exponential function | exp(16) | |||||
! | factorial | 5! | |||||
choose | x choose y calculates the number of ways of choosing a set of y elements from a set of x distinct elements | 5 choose 3 | |||||
CONSTANT | MEANING | TYPE INTO SEARCH BOX | |||||
e | base of the natural system of logarithms | e | |||||
pi | the ratio of the circumference to the diameter of a circle | pi/6 | |||||
i | imaginary number, which represents one of the two square roots of -1 | i^2 | |||||
gamma | Euler's constant | e^gamma | |||||
TIPS (adapted from Google's Online Calculator Help) | |||||||
Parentheses can be used whenever they'll serve to make complicated expressions unambiguous, and also sets of parentheses can be used within parentheses; don't use brackets for grouping. | |||||||
You can force the calculator to try to evaluate an expression by putting an equals sign (=) after it. This works only if the expression is arithmetically computable. For example, 1-800-555-1234= will return a result, but 1/0= will not (because dividing a non-zero number by zero is undefined and not computable). | |||||||
Parentheses can be used to enclose the parts of your expression that you want evaluated first. For example, (1+2)*3 causes the addition to happen before the multiplication. | |||||||
Google's calculator automatically balances unclosed parentheses. | |||||||
A missing operator within an expression may default to an *, e.g., 6cos(2pi). | |||||||
Feel free to experiment with the calculator as not all of its capabilities are listed here. | |||||||
UNITS OF MEASURE AND CONVERSIONS | |||||||
Compute expressions involving different units. By default, units are converted to and results expressed in meter-kilogram-second (mks) units. Many units have both long and short names. Use whichever name you prefer. | |||||||
TYPE OF UNITS | UNIT CONVERSION | EXAMPLES OF UNITS | |||||
old units in new units | |||||||
Currency (money) | 23 USD in Euros | US Dollars (USD), Euros, Britain Pounds (GBP) | |||||
Mass | 130 lbs in kg | kilogram or kg, grams or g, grains, pounds or lbs, carats, stones, tons, tonnes | |||||
Length | 3 miles in km | meters or m, miles, feet, Angstroms, cubits, furlongs | |||||
Volume | three quarters of a cup in teaspoons | gallons, liters or l, bushels, teaspoons, pints | |||||
Area | 2 acres in sq km | square kilometers, acres, hectares | |||||
Temperature | 98.6 Fahrenheit in Celsius or 98.6 f in c | Celsius or c, Fahrenheit or f | |||||
Time | 1 year in seconds | days, seconds or s, centuries, sidereal years, fortnights | |||||
Electricity | 100 volts in picovolts | volts or v, picovolts, amps or a, ohms, henrys | |||||
Energy | 160 lbs * 4000 ft in Calories | Calories, British thermal units (BTU), joules, ergs, foot-pounds (Warning: When your query includes "Calories" with a capital "C," Google returns kilocalories called "calories" by nutritionists.) | |||||
Power | 1 hp in watts, 500 V * 3 A in KW | watt or W, kilowatts or KW, megawatts or MW, horsepower or HP | |||||
Angle | 90
degrees in radians |
degrees or radians | |||||
Information | 2 bytes in bits | bits, bytes, kbytes | |||||
Quantity | 1 great gross in dozens | dozen, baker's dozen, gross, great gross, score | |||||
Numbering Systems | 1500 in
hex 64 in binary LVII in decimal |
decimal, hexadecimal or hex, octal, binary, roman numerals (Prefix hexadecimal numbers with 0x, octal numbers with 0o and binary numbers with 0b, e.g., 0x7f + 0b100101) | |||||
PHYSICAL CONSTANTS | |||||||
The following table lists just a few of the many commonly used physical constants known to the calculator function. | |||||||
SHORTHAND NOTATION | LONG NAME | CLICK LINK FOR AN APPROXIMATE VALUE | |||||
au | Astronomical Unit | au or astronomical unit | |||||
Avogadro's number | Avogadro's number | ||||||
k | Boltzmann constant | k or Boltzmann constant | |||||
Faraday constant | Faraday constant | ||||||
G | gravitational constant | G or gravitational constant | |||||
magnetic flux quantum | magnetic flux quantum | ||||||
mass of a proton | mass of a proton | ||||||
m_planet | mass of planet | m_Mars, m_Earth, m_Uranus, m_sun | |||||
molar gas constant | molar gas constant | ||||||
permeability of free space | permeability of free space | ||||||
h | Planck's constant | h or Planck's constant | |||||
r_planet | radius of planet | r_Earth, r_Pluto, r_sun | |||||
c | speed of light in a vacuum | c or speed of light | |||||
speed of sound in air at sea level | speed of sound | ||||||
This reference is based on the Google Cheat
Sheet
with Google's permission.
CCL 2005 Google Guide – Google Guide is neither affiliated with nor endorsed by Google. For copy & redistribution permission, visit Google Guide's Creative Commons License page. |
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