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Math Calculator Online
Use this free online math calculator for arithmetic, scientific calculations and common equations. Type an expression or use the buttons to get instant results.
Online Math Calculator
Use Basic for everyday arithmetic, Scientific for trigonometry, logarithms and powers, and the Equation Solver for common equations.
No sign-up. Calculations run in your browser.
History
Your calculations appear here. Select a result to reuse it.
Each box accepts a number or an expression, such as −3, 1/3 or √2.
Solution
2x + 3 = 11
x = 4
Steps
Start with the equation
2x + 3 = 11
Subtract 3 from both sides
2x = 11 − 3
2x = 8
Divide both sides by 2
x = 8 ÷ 2
x = 4
Check by substitution
2 × 4 + 3 = 11
What can you calculate with this mathematics calculator?
You can work out everyday arithmetic, scientific functions and three common types of equation. The calculator has three modes, and you can switch between them at any time without losing your work.
Basic
Everyday math calculations.
- Addition, subtraction, multiplication and division
- Parentheses for grouping
- Percentages (%)
- Square roots (√) and powers (xʸ)
- Change sign (±) and Ans, the previous answer
Scientific
Every Basic button, plus scientific functions.
- Sine, cosine and tangent in degrees or radians (DEG/RAD)
- Logarithms: log (base 10) and ln (natural)
- Squares, cubes, cube roots, eˣ and 10ˣ
- Factorial (n!), absolute value (|x|) and reciprocal (1/x)
- The constants π and e
Equation Solver
Enter the coefficients, get the answer with working.
- Linear equations: ax + b = c
- Quadratic equations: ax² + bx + c = 0
- Systems of two linear equations in x and y
- Step-by-step solutions and a substitution check
How to use the math calculator
Choose a mode, enter your calculation, then press = or Enter to get the answer.
- Choose Basic, Scientific or Equation Solver at the top of the calculator.
- Type an expression, such as 12 × (3 + 5), or use the calculator buttons. A preview of the result appears as you type.
- Press = or Enter to calculate. The answer is 96 here.
- Review the answer and your calculation history beside or below the keypad.
- For equations, choose the equation type and enter the coefficients. The answer and the solution steps update as you type.
Keyboard, copy and history
- 0–9 . + - * / ^ % ! ( )
- Type numbers and operators directly
- Enter or =
- Calculate
- Backspace
- Delete the last character
- Esc
- Clear the expression
- Copy result copies the current answer as a plain number, ready to paste.
- History keeps your last 20 results while the page is open. Select one to insert it into your next calculation.
- Ans is the previous answer. Start with an operator after = and the calculation continues from it.
Supported math operations and functions
The calculator supports arithmetic, percentages, roots, powers, trigonometry, logarithms, factorials and the constants π and e.
| Type | Operations | Buttons | Mode | Example |
|---|---|---|---|---|
| Arithmetic | Addition, subtraction, multiplication, division | + − × ÷ | Basic and Scientific | 7 × 6 − 2 = 40 |
| Grouping | Parentheses | ( ) | Basic and Scientific | (2 + 3) × 4 = 20 |
| Percent | Percentages | % | Basic and Scientific | 200 × 10% = 20 |
| Roots | Square root, cube root | √ ∛ | √ in both modes, ∛ in Scientific | √144 = 12∛27 = 3 |
| Powers | Square, cube, any power, eˣ, 10ˣ | xʸ x² x³ eˣ 10ˣ | xʸ in both modes, the rest in Scientific | 3² = 92^10 = 1,024 |
| Trigonometry | Sine, cosine, tangent | sin cos tan | Scientific | sin(30) = 0.5DEGcos(60) = 0.5DEG |
| Logarithms | Base-10 logarithm, natural logarithm | log ln | Scientific | log(1000) = 3ln(e) = 1 |
| Constants | Pi, Euler’s number | π e | Scientific | 2π = 6.28318530718 |
| Other | Factorial, absolute value, reciprocal | n! |x| 1/x | Scientific | 5! = 120abs(−7) = 74⁻¹ = 0.25 |
| Previous answer | Reuse the last result | Ans | Basic and Scientific | Continue from the last result |
- Functions take parentheses, as in sin(30) or log(1000). If you leave a closing parenthesis off the end, it is added for you.
- You can leave out × before a parenthesis, a constant or a function: 3(4 + 1) = 15 and, in DEG mode, 2sin(30) = 1.
How percentages work
On its own, % divides by 100, so 50% = 0.5. After + or −, it works like a handheld calculator: the percentage is taken of the number before it, so 200 + 10% adds 10% of 200.
| Calculation | Meaning |
|---|---|
| 50% = 0.5 | 50 percent as a decimal |
| 200 × 10% = 20 | 10% of 200 |
| 200 + 10% = 220 | 200 increased by 10% |
| 200 − 10% = 180 | 200 decreased by 10% |
| 200 + (10%) = 200.1 | In parentheses, 10% is just 0.1 |
Math calculator examples
These are common calculations and the exact results this calculator gives. Each expression can be typed as shown.
| Expression | Result | What it shows |
|---|---|---|
| 2 + 3 × 4 | 14 | Multiplication comes before addition |
| (2 + 3) × 4 | 20 | Parentheses are worked out first |
| √144 | 12 | Square root |
| 2^10 | 1,024 | Power: 2 to the 10th |
| sin(30)DEG | 0.5 | Sine of 30 degrees |
| log(1000) | 3 | Base-10 logarithm |
| 5! | 120 | Factorial: 5 × 4 × 3 × 2 × 1 |
| 200 + 10% | 220 | Adds 10% of 200 |
Order of operations
The calculator follows the standard order of operations: parentheses first, then powers, then multiplication and division, then addition and subtraction. Operations at the same level are worked out from left to right.
2 + 3 × 4 = 143 × 4 is worked out first
(2 + 3) × 4 = 20The parentheses come first
A minus sign in front of a power applies after the power, so −2^2 = −4; write (−2)^2 = 4 to square a negative number. Stacked powers are worked out from the right: 2^3^2 = 512.
Scientific calculations
Scientific mode adds trigonometry, logarithms, more powers and roots, factorials and the constants π and e to the Basic keypad.
Degrees and radians (DEG/RAD)
DEG mode reads trigonometry inputs as degrees. RAD mode reads them as radians. Switch with the DEG/RAD toggle above the expression; Basic mode uses the same setting and shows it when your expression contains a trigonometric function.
DEGsin(30) = 0.5
RADsin(π ÷ 2) = 1
Where tangent is undefined, such as tan(90) in DEG mode, the calculator shows an error instead of a misleading huge number.
Logarithms
log is the base-10 logarithm and ln is the natural logarithm, with base e. For example, log(1000) = 3 and ln(e) = 1. Both need a positive input.
Powers and roots
x² and x³ square and cube the number before them, xʸ raises it to any power, and eˣ and 10ˣ raise e or 10 to a power. √ and ∛ take square and cube roots; use ∛ for negative numbers, as in ∛(−8) = −2.
Constants and other functions
π and e are built in. n! works for whole numbers from 0 to 170, |x| gives the absolute value and 1/x the reciprocal of the number before it.
Precision
Results are shown to 12 significant digits. Very large or very small results switch to scientific notation, such as 2^64 = 1.84467440737 × 10¹⁹. How calculations are handled explains accuracy in more detail.
Solve mathematical equations online
Equation Solver mode is a mathematical equation solver online for three common forms: linear equations, quadratic equations and systems of two linear equations. It shows the solution, each step and, for real solutions, a substitution check.
Instead of interpreting a typed equation, it uses one field per coefficient, so you always see exactly which equation is being solved. Each field accepts a number or a short expression such as −3, 1/3 or √2.
- Linear equation
- ax + b = c
- Quadratic equation
- ax² + bx + c = 0
- System of two equations
- a₁x + b₁y = c₁a₂x + b₂y = c₂
Worked example: 2x + 3 = 11
Subtract 3 from both sides
2x = 11 − 3
2x = 8
Divide both sides by 2
x = 8 ÷ 2
x = 4
Answer: x = 4
Check: 2 × 4 + 3 = 11
Quadratic equations
The solver calculates the discriminant, Δ = b² − 4ac, then applies the quadratic formula, x = (−b ± √Δ) ÷ 2a.
- Δ > 0: two real roots
- Δ = 0: one repeated real root
- Δ < 0: no real roots; the two complex roots are shown in the form a ± bi
For x² − 3x + 2 = 0, Δ = 1, so x = 2 or x = 1. If a is 0, the equation is not quadratic, and it is solved as a linear equation instead.
Systems of two equations
The system solver finds the x and y that satisfy both equations at once, using the determinant D = a₁b₂ − a₂b₁ (Cramer’s rule). It tells you whether there is one solution, no solution (parallel lines) or infinitely many solutions (both equations describe the same line), and gives the general solution in that last case.
For 2x + 3y = 13 and x − y = −1, x = 2 and y = 3.
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How calculations are handled
The calculator works everything out in your browser with its own math code: standard rules for expressions, established formulas for equations, and results rounded for display.
Calculation method
Expressions are read by the calculator’s own math code, never run as program code. It applies the standard order of operations, parentheses first, and your DEG or RAD setting for sine, cosine and tangent. The Equation Solver uses a dedicated method for each type: rearranging linear equations, the discriminant and quadratic formula for quadratics, and determinants for two-equation systems.
Accuracy and precision
Results use the browser’s standard number format, about 15 to 16 significant digits, and are shown rounded to 12, which removes familiar noise: 0.1 + 0.2 = 0.3. Most decimals cannot be stored exactly in any finite format, so precision is consistent rather than unlimited. Where it can, the Equation Solver also shows an exact form, such as x = 1/3 or x = (3 ± √5)/2. Exact symbolic algebra or arbitrary precision needs dedicated software.
Your calculations stay in your browser
Every mode runs in your browser. The calculator does not send your expressions or results to the server, and nothing you calculate is saved in this site’s database. History is kept in the page’s memory and disappears when you reload or close the page.
How calculations are checked
Automated tests compare the calculator with known results and edge cases: the order of operations, roots and powers, percentages, trigonometry in DEG and RAD, equations with a = 0 or parallel lines, and invalid input such as division by zero. The example results on this page are checked by the same tests.
Frequently asked questions
Short answers about using the calculator, its accuracy and what happens to your calculations.
Is this math calculator free to use?
Yes. All three modes, Basic, Scientific and Equation Solver, are free to use, with no sign-up or account needed.
Can I type calculations with my keyboard?
Yes. In Basic and Scientific mode, type an expression such as 12*(3+5) and press Enter to get 96. Use * for ×, / for ÷ and ^ for powers; Backspace deletes and Escape clears. Functions can be typed by name, such as sqrt(144), sin(30) or log(1000).
Does the calculator follow the order of operations?
Yes. Powers come first, then multiplication and division, then addition and subtraction, and parentheses override that order. Multiplication written without a sign, as in 2π, has the same priority as ×, so 1/2π = 1.57079632679 (half of π); write 1/(2π) = 0.159154943092 to divide by 2π.
Can this calculator solve equations?
Yes, three types: linear equations (ax + b = c), quadratic equations (ax² + bx + c = 0) and systems of two linear equations in x and y. Choose Equation Solver and enter the coefficients; the answer appears with each step. Other kinds of equation, such as cubics or equations typed in free form, are not supported.
What is the difference between DEG and RAD?
DEG treats angles as degrees and RAD treats them as radians, where a full turn is 360° or 2π radians. The setting changes the results of sin, cos and tan: sin(30) is 0.5 in DEG but −0.988031624093 in RAD. If a trigonometry result looks wrong, check this setting first.
Are my calculations saved or sent to a server?
No. Calculations run in your browser, and the calculator does not send your expressions or results to the server or save them in this site’s database. Your history is held in the page’s memory and is cleared when you reload or close the page.
Why are some decimal results rounded?
Results are shown to 12 significant digits, so 1 ÷ 3 = 0.333333333333. Browsers store most decimals as very close approximations, and rounding the display hides the tiny differences that would otherwise appear. Very large or very small results switch to scientific notation, such as 2^64 = 1.84467440737 × 10¹⁹.
Can this calculator work with complex numbers?
Only as the roots of a quadratic. When a quadratic has a negative discriminant, the Equation Solver shows its two complex roots, such as x = −1 ± 2i for x² + 2x + 5 = 0. Basic and Scientific mode work with real numbers, so an expression such as √(−4) shows an error rather than 2i.
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