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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 |
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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 |
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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 |
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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 |
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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 |
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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.) |
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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 |
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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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