Calculator |
Do you 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 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.
The calculator can evaluate mathematical expressions involving:
Example:
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 or 3 x 4 won't.
Operator | Function | Example |
sin, cos, tan, sec, csc, cot, etc. |
Trigonometric functions (arguments are assumed to be in radians) |
[ cos(45) ] |
arcsin, arccos, arctan, arccsc, etc. | Inverse trigonometric functions | [ arccos(.5) ] |
sinh, cosh, tanh, csch, arsinh, arccsch, etc. | Hyperbolic trigonometric 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 ] |
Type of Units | Examples |
Mass | kilogram or kg, grams or g, grains, pounds or lbs, carats, stones, tons, tonnes, etc. |
Length | meters or m, miles, feet, Angstroms, cubits, furlongs, etc. |
Volume | gallons, liters or l, bushels, teaspoons, pints, etc. |
Area | square kilometers, acres, hectares, etc. |
Time | days, seconds or s, centuries, sidereal years, fortnights, etc. |
Electricity | volts, amps, ohms, henrys, etc. |
Energy | Calories, British thermal units (BTU), joules, ergs, foot-pounds, etc. |
Power | watt, kilowatts, horsepower or hp, etc. |
Information | bits, bytes, kbytes, etc. |
Quantity | dozen, baker's dozen, percent, gross, great gross, score, etc. |
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.
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 ] |
And here are just a few of the many commonly used physical constants known to the calculator function.
Long Name | Shorthand Notation |
Click the Link for the Approximate Value |
atomic mass units | amu or u | [ u ] or [ atomic mass units ] |
Astronomical Unit | au | [ au ] or [ astronomical unit ] |
Avogadro's number | [ Avogadro's number ] | |
Boltzmann constant | k | [ k ] or [ Boltzmann constant ] |
Faraday constant | [ Faraday constant ] | |
gravitational constant | G | [ G ] or [ gravitational constant ] |
magnetic flux quantum | [ magnetic flux quantum ] | |
mass of a proton | [ mass of a proton ] | |
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 ] |
radius of each planet and of the sun | [ r_earth ], [ r_pluto ] [ r_sun ] | |
speed of light in a vacuum | c | [ c ] or [ speed of light ] |
speed of sound in air at sea level | mach | [ speed of sound ] |
Here are some calculations using built-in constants.
Parentheses can be used whenever they'll serve to make complicated expressions unambiguous, but also that 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= 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 a fraction of the capabilities of Google's calculator, visit Soople's Calculator page, www.soople.com/index.php?sub=calculator.
This problem set is designed to give you practice in using Google's new calculator function. For hints and answers to selected problems, see the Solutions page in the Appendix.