**Arithmetic operations**
The online scientific calculator
can use usual arithmetic operators to perform arithmetic operations as an
online calculator.
The notation used is as follows:
- + For addition
- - For subtraction
- * For multiplication
- / For division
- ^ To raise to a power
**Operations on fractions**- The following example shows
how to add fractions
.

show example of fractions computation : `4/5+3/2`

- The following example shows
how to subtract fractions
.

show example of fractions calculation : `4/5-3/2`

- The following example shows
how to multiply fractions
.

show example of fractions calculus : `4/5*3/2`

- The following example shows
how to divide fractions
.

show example of fractions calculation : `(4/5)/(3/2)`

- The following example shows
how to raise a fraction to a power fraction
.

show example of fractions calculation : `(4/5)^3`

**Euclidean division****Factoring an expression****Expand an expression****Solving a linear equation****Solving a quadratic equation****Solving absolute value equation****Solving exponential equation****Solving logarithmic equation****Solving an inequation of the first degree****Solving a quadratic inequality****Computation of the discriminant of a quadratic polynomial****Solving a system of equations****Find a linear equation from two points****Symbolic calculation: reduce expression****Calculating a square root****Calculating a derivative****Calculate a limit****Calculation of the terms of a numerical sequence****Find the equation of the tangent at a given abscissa point****Calculating a cube root****Calculation with vectors****Calculation of an antiderivative****Operations on complex numbers**- The following example shows
how to calculate a complex expression
using the online calculator.

See example of a complex number calculation : `5+i+3*i^2` - The following example shows
how to simplify a complex number
using the online calculator.

See example of simplification of a complex number : `1/(1+i)` **Solve a differential equation of the first order****Statistical calculations****Matrices calculation****Calculate the determinant of a matrix or vectors.****Calculate the inverse of a square matrix.****Calculate the sum of matrices.****Calculate the difference of matrices.****Calculate the product of two matrices.****Calculate the trace of a matrix.****Calculate the transpose of a matrix.****Calculate taylor series****Calculate maclaurin series****Transform a decimal number into a percentage****Transform a fraction into a percentage****Calculate a perimeter****Calculate the monthly payment of a loan.****Calculate the insurance of a credit.**

See example of arithmetic calculation: 34+32

The scientific calculator online offers the ability to simplify a fraction , to reduce a fraction and performing all arithmetic operations on fractions using the usual operators.

The following series of examples shows how to calculate fractions.In addition to the result, the calculator retourne également returns the different stages of the fraction calculation.

The web scientific calculator allows to do an Euclidean division, the Euclidean division can be done with integers or polynomials. The following examples show how to do a Euclidean division using the online calculator.

See example of euclidean division between two integers: `19:4`

See example of the euclidean division between two polynomials : `x^2-4` et `x+2`

The internet calculator allows to factor an expression specifying the calculation steps. The following examples show how to factor an expression using the online calculator.

Show example factorization of an expression : `x^2-9`

Show example factorization of an expression : `x^2-4`

The calculator scientific allows to develop an expression.

The following example shows how to expand an expression using the online calculator.

Show example of expansion of an expression : `(1+x)^2`

The
calculator
allows
solving a linear equation
quickly and easily, the results are given in exact form and details of the calculations are displayed.
Simply enter the equation and validate. The following example shows
how to solve a linear equation
using the online
equality calculator
.

See example of solving an equation : `x/3+3=x`

The online calculator allows solving a quadratic equation very quickly and very simply, the results are given in exact form and the steps of the calculations are displayed.

how to solve a quadratic equation using the online equation calculator .Show example of solving an equation : `x^2+x=1`

Online calculator allows solving absolute value equation quickly and easily, the results are given in exact form and the steps of the calculations are displayed.

The following example shows how to solve an absolute value equation using the online equation calculator .Show example of solving an absolute value equation : `|x-2|=1`

Online calculator allows solving exponential equation quickly and easily, the results are given in exact form and the steps of the calculations are displayed.

The following example shows how to solve an exponential equation using the online equations calculator .Show example of solving an exponential equation : `exp(x-2)=1`

The online equation calculator allows to solving logarithmic equation quickly and easily, the results are given in exact form and the steps of the calculations are displayed.

The following example shows how to solve an logarithmic equation using the online equation calculator.See example of solving an equation : `ln(x-2)=0`

The
online calculator
allows
linear inequality resolution
very quickly and very simply, the exact results are given, with steps of calculation.

The following example shows
how to solve an inequality
with the
inequalities calculator
.

See example of solving an inequality : x+3>2

The
calculator
allows
solving a quadratic inequality
very simply and very quickly, the exact results are given, with steps of calculation.

The following example shows
how to solve a quadratic inequality
using the online calculator.

Show example of solving an inequality : `x^2-3>2`

The
web calculator
allows to
calculate the discriminant
of a quadratic trinomial very quickly and very simply, exact results are given with the different calculation stages.

The following example shows
how to calculate discriminant
using the internet calculator.

Show example of discriminant calculation : `x^2-3x+2`

The
online solver
allows solving a
system of equations
, the solutions are given in exact form.

The following example shows
how to solve a system of equations
using the online system solver.

See example of solving a system of equations : solve_system([x+y=18;3*y+2*x=46];[x;y])

The online calculator allows you to
find a linear equation from two points
.

The following example shows
how to calculate a linear equation from two points
using online
calculator equation straight line
.

See example of calculating a linear equation which passes through two points.

The
computer algebra software
(CAS) that offers this site
reduces expression
that is to simplify an algebraic expression.

The following example shows
how to simplify an expression
using the symplify calculator.

See example of simplification of an expression : b+2a+3a+4b

The
square root calculator online
can be used on numeric expressions but also on symbolic expressions, it provides results in exact form.

The following example shows
how to calculate the square root of a number
using the
square root calculator
online.

See example square root calculation : `sqrt(12)`

The online derivative calculator allows for all standard functions to
calculate a derivative.

The following example shows
how to calculate the derivative of a function
using the online
derivative calculator.

Show sample calculation of derivative : differentiate(4x+4)

The online limit calculator allows for some functions to La calculatrice de limite en ligne permet pour certaines fonctions usuelles de faire le
calculate limit explaining
the calculations which make it possible to obtain the result.

The following example shows
how to calculate the limit of a function
thanks to
limit calculator .

Show sample calculation of limit : limit(`sin(x)/x`)

The following example shows
how to calculate the terms of a numeric sequence when it is explicitly defined
.

See example of calculation of the terms of the sequence (`n^2`) whose indices are between 1 and 4.

The following example shows
how to calculate the terms of a numeric sequence when it is defined by recurrence
.

See example of calculation of the terms of the sequence defined by recurrence `u_(n+1)=u_n+3, u_0=2` whose indices are between 1 and 4.

The tangent line calculator allows to
find an equation of the tangent at a given point of abscissa
.

The following example shows
how to calculate the tangent at one point
using the online
tangent line calculator
.

See calculation example of the tangent to the graph of the function `f: x-> x^2+3` at the point of abscissa 1

The online
cube root
calculator can be used on numeric expressions, it provides exact results.

The following example shows
how to calculate the cube root of a number
with the
cube root calculator
online.

See sample cube root calculation : cube_root(64)

The internet calculator is used with
vectors
, it allows to do many operations that involve
vector calculation.
Calculations are done in exact form and can involve literal expressions, calculation steps are specified.

The following example shows
how to calculate the norm of a vector
using the online
vector norm calculator
.

See example of calculating the norm of a coordinate vector `[1;2]`

The following example shows
how to calculate the norm of a vector
with coordinates that contain letters.

See example of calculating the norm of a coordinate vector `[(a),(2*a),(a/2)]`

The following example shows
how to compute the coordinates of a vector
from the coordinates of two points.

See example of calculation of the coordinates of a vector from points of coordinates [1;2] and [5;6]

The following example shows
how to compute the cross product of two vectors
from the coordinates.

See example of calculation of the cross product of the vectors [1;1;1] and [5;5;6]

The following example shows
How to compute the dot product of two vectors
from the coordinates.

See example of calculation of the dot product of the vectors [1;1;1] et [5;5;6].

The following example shows
how to compute the scalar triple product of three vectors
from the coordinates.

See example of calculation of the scalar triple product of the vectors `[(1),(1),(1)]`;`[(5),(1),(6)]`;`[(4),(3),(2)]`

The
computer algebgra software
allows for many functions to get the
calculation of an antiderivative
.

The following example shows
how to calculate an antiderivative function
with the
antiderivative calculator
online.

Show sample calculation of antiderivative: antiderivative(4x+4)
.

The computer algebra software (CAS) allows for all arithmetic operations on complex numbers using the usual operators to do calculation. The symbol used is i.

The online calculator
is able to
solve a differential equation
of the first order.

The following example shows how to solve a differential equation using the online calculator.

See example of solving a differential equation : `solve(y'+y=0;x)`

The online calculator allows for many statistical operations as
average
,
variance
or
standard deviation
calculations.
The exact results are given with the calculation steps. The calculator can manipulate numbers but also letters.

The following example shows
how to calculate the average of a series
using the
average calculator
online.

See example of average calculation `([[12;14;15;4];[3;5;3;2]])`

The following example shows
how to calculate the variance of a series

See example of variance calculation `([12;14;15;4])`

The following example shows
how to calculate the standard deviation
of a series.

See example of standard deviation calculation `([12;14;15;4])`

The online matrix calculator is used with matrices , it allows for many operations involving the matrix calculation. Calculations are done in exact form and may involve literal expressions. The calculation steps are specified.

The calculator allows to
Calculate the determinant of matrix
.

The following example shows
how to calculate the determinant of a matrix
using the online calculator.

See example calculation of the determinant of the matrix `((3,1,0),(3,2,1),(4,1,7))`.

The web calculator online allows to
calculate the inverse of a square matrix
.

The following example shows
how to calculate the inverse of a square matrix
using the web calculator.

See example of calculating the inverse of the matrix `((3,1,0),(3,2,1),(4,1,7))`.

The
matrix calculator online
allows to
calculate the sum of two matrices
.

The following example shows
how to calculate the sum of two matrices
using the matrix calculator online.

See example of calculation of the sum of the matrices `((3,3,4),(1,2,0),(-5,1,1))+((3,3,4),(1,4,0),(2,1,1))`.

The
web matrix calculator
allows to
calculate the difference between two matrices
.

The following example shows
how to calculate the difference between two matrices
using the matrix calculator online.

See example of calculation of the difference of the matrices `((3,3,4),(1,2,0),(-5,1,1))-((3,3,4),(1,4,0),(2,1,1))`.

The
internet matrix calculator
allows to
calculate the product of two matrices
.

The following example shows
how to calculate the product of two matrices
using the matrix calculator online.

See example of calculation of the product of the matrices `((3,3,4),(1,2,0),(-5,1,1))*((3,3,4),(1,4,0),(2,1,1))`.

The web algebra calculator allows to
calculate the trace of a matrix
.

The following example shows
how to calculate the trace of a matrix
using the calculator online.

See example of calculation of the trace of the matrix `((3,3,4),(1,2,0),(-5,1,1))`.

The algebra calculator allows to
calculate the transpose of a matrix
.

The following example shows
how to calculate the transpose of a matrix
with the web calculator.

See example of calculation of the transpose of the matrix `((3,3,4),(1,2,0),(-5,1,1))`.

Taylor series calculator
is able to
calculate taylor expansion
.

The following example shows
how to calculate taylor series
with the taylor series calculator online

See example of taylor expansion of cos(x).

Maclaurin series calculator
is able to
calculate maclaurin expansion
.

The following example shows
how to calculate maclaurin series
with the Maclaurin series calculator online

See example of Maclaurin expansion of sin(x).

The percentage calculator is able to
convert a decimal number to a percentage
.

The following example shows
how to transform a decimal number into a percentage
with the calculator.

See transformation example of 0.25 into a percentage.

The percentage calculator is able to
convert a fraction to a percentage
.

The following example shows
how to transform a fraction into a percentage
with the online calculator.

See transformation example of `1/2` into a percentage.

The perimeter calculator
is able to
calculate usual perimeters
.

The following example shows
How to calculate the perimeter of a rectangle
with the online perimeter calculator.

See example of rectangle perimeter calculation
.

The following example shows
How to calculate the perimeter of a circle
or
How to calculate the perimeter of a square
with the perimeter calculator.

See example of circle perimeter calculation and square perimeter calculation

Whether it is home loan or consumer loan, the following example shows
how to calculate the monthly payment of a loan
knowing its rate and its duration.

See example of calculation of a loan of $100000 over 20 years at the rate of 2%.

The following example shows
how to calculate the monthly amount of credit insurance
knowing its rate and duration.

See example calculation of the insurance at the rate of 0.3% on a credit of $ 100000 over 20 years.

All this is just a small overview of the features of this online computer algebra system , it allows many other types of calculations that are detailed in the online help calculator ( calculator tutorial ).