Calculator |
Want to add up a list of numbers, convert from miles to kilometers, or evaluate some other mathematical expression? Instead of using a piece of paper, your calculator, or a computer math software program, you can now 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 click the ENTER key or click the "Google Search" button.
The Google Guide Calculator Reference provides a nice summary of some of Google's calculator features.
Once you have a result, you can use your browser's Copy feature (usually on its Edit menu) to copy the result. Then you can paste it into another program, a box in a form on another web page, and so on.
The calculator can evaluate mathematical expressions involving:
Operator | Function | Example |
+ | Addition | [ 15.99 + 32.50 + 13.25 ] |
- | Subtraction | [ 79 - 18 - 19 ] |
* | Multiplication | [ 2 * 3 * 7 ] |
/ | Division | [ 378 / 9 ] |
^ or ** | Exponentiation (raise to a power of) | [ 4^10 ] or [ 4**10 ] |
% of | Percent | [ 15% of 93.45 ] |
mod or % | modulo (the remainder after division) |
[ 15 mod 9 ] or
[ 15 % 9 ] |
the nth root of | calculates the nth root |
[ 4th root
of 16 ] [ cube root of 109 ] [ square root of 42 ] or [ sqrt(42) ] |
Note: To do multiplication, you must include the * symbol; [ 3 * 4 ] will be calculated, 3 4 won't.
Operator | Function | Example |
sin, cos, tan, sec, csc, cot, etc. | Trigonometric functions (arguments are assumed to be in radians) |
[ cos(pi/6) ] |
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 ] |
The following table lists just a few of the commonly used mathematical constants known to the calculator function.
Name and description | Example |
base of the natural system of logarithms | [ e ] |
pi, the ratio of the circumference to the diameter of a circle | [ pi/6 ] |
imaginary number, i, which represents one of the two square roots of -1 | [ i^2 ] |
Euler's constant, gamma | [ e^gamma ] |
Type of Units | Examples |
Currency | Australian Dollars (AUD), British pounds (GBP), Euros, US Dollars (USD) |
Mass | kilogram or kg, grams or g, grains, pounds or lbs, carats, stones, tons, tonnes |
Length | meters or m, miles, feet, Angstroms, cubits, furlongs |
Volume | gallons, liters or l, bushels, teaspoons, pints |
Area | square kilometers, acres, hectares |
Time | days, seconds or s, centuries, sidereal years, fortnights |
Electricity | volts, amps, ohms, henrys |
Energy | Calories, British thermal units (BTU), joules, ergs, foot-pounds |
Power | watt, kilowatts, horsepower or hp |
Information | bits, bytes, kbytes, etc. |
Quantity | dozen, baker's dozen, percent, gross, great gross, score, googol |
Numbering systems | decimal, hexadecimal or hex, octal, binary, roman numerals, etc. Prefix hexadecimal numbers with 0x, octal numbers with 0o and binary numbers with 0b. For example: 0x7f + 0b10010101. |
Here are calculations that involve units.
Convert from one set of units to another by using the notation, x units in y units.
Warning: When your query includes "Calories" with a capital "C," Google returns kilocalories called "calories" by nutritionists.
Convert from one numbering system to another.
In many cases, you can also get the conversion factor between units:
That last conversion is a common joke among engineers — though, as Jim Jardine points out, "There is no reason to denigrate neither furlongs nor fortnights as they are both very easily defined measurements." (See his page Furlongs Today.)
Long Name | Shorthand Notation |
Click the Link for the Approximate Value |
atomic mass units | amu | [ amu ] or [ atomic mass unit ] |
Astronomical Unit | au | [ au ] or [ astronomical unit ] |
Avogadro's number | [ N_A ] or [ Avogadro's number ] | |
Boltzmann constant | k | [ k ] or [ Boltzmann constant ] |
electric constant, permitivity of free space | [ epsilon_0 ] | |
electron mass | [ m_e ] or [ electron mass ] | |
electron volt | eV | [ eV ] or [ electron volt ] |
elementary charge | [ elementary charge ] | |
Euler's constant | [ Euler's constant ] | |
Faraday constant | [ Faraday constant ] | |
fine-structure constant | [ fine-structure constant ] | |
gravitational constant | G | [ G ] or [ gravitational constant ] |
magnetic flux quantum | [ magnetic flux quantum ] | |
mass of each planet and of the sun | [ m_mars ], [ m_earth ], [ m_uranus ], ..., [ m_sun ] | |
molar gas constant | [ molar gas constant ] | |
permeability of free space | [ permeability of free space ] | |
Planck's constant | h | [ h ] or [ Planck's constant ] |
proton mass | [ m_p ] or [ proton mass ] | |
radius of each planet and of the sun | [ r_earth ], [ r_pluto ], ..., [ r_sun ] | |
Rydberg constant | [ Rydberg constant ] | |
speed of light in a vacuum | c | [ c ] or [ speed of light ] |
speed of sound in air at sea level | [ speed of sound ] | |
Stefan-Boltzmann constant | [ Stefan-Boltzmann constant ] |
Here are some calculations using built-in constants.
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.
The following are tips from Google's online help for the calculator, which can be found on the web at www.google.com/help/calculator.html.
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= (a US phone number followed by an equals sign) will return a result, but 1/0= will not.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.
Feel free to experiment with the calculator as not all of its capabilities are listed here.
If you want a visual interface to some of the capabilities of Google's calculator, visit Soople's Calculator page, www.soople.com/soople_intcalchome.php.
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