🧮 Scientific Calculator
By ToolNimba Math Team · Updated 2026-06-19
Build an expression with the keypad, then press = to evaluate.
This scientific calculator handles far more than the four basic operations. Use the on-screen keypad to build a full expression with parentheses, powers, roots, trigonometric functions, logarithms, factorials and the constants pi and e, then press the equals key to evaluate it. The expression you are typing and the running result are both shown, so you can see exactly what you are calculating and fix mistakes with backspace or a full clear. Switch the angle mode between degrees and radians before using sin, cos or tan.
What is the Scientific Calculator?
A scientific calculator extends a basic calculator with the functions you meet in algebra, trigonometry, statistics and science: exponents and roots, base-10 and natural logarithms, the sine, cosine and tangent of an angle, factorials, and the mathematical constants pi (about 3.14159) and e (about 2.71828). Instead of pressing one operation at a time, you write a whole expression like 2 + 3 × sin(30) and the calculator works out the answer in the correct order.
That order is not left to right. Every scientific calculator follows the standard order of operations: parentheses first, then exponents and roots, then multiplication and division, and finally addition and subtraction. So 2 + 3 × 4 is 14, not 20, because the multiplication happens before the addition. When you need a different order you add parentheses, which always evaluate first. Functions such as sin, log and sqrt apply to whatever is inside their brackets, and factorial (the ! symbol) binds tightest of all, acting on the value immediately before it.
Under the hood this tool reads your expression safely. It first splits the text into tokens (numbers, operators, function names, brackets), then converts them to a form called Reverse Polish Notation using the shunting-yard algorithm, and finally evaluates that with a small stack. This is the same parsing approach real calculators and many programming languages use, and it means the precedence rules above are applied exactly, with no reliance on running the text as code.
When to use it
- Evaluating a multi-step expression such as (5 + 3) × 2 ^ 4 without writing down intermediate results.
- Finding the sine, cosine or tangent of an angle in either degrees or radians for trigonometry homework.
- Computing logarithms (log base 10 or natural ln) for chemistry, physics and finance problems.
- Working out powers, square roots and factorials quickly, for example permutations and combinations.
How to use the Scientific Calculator
- Set the angle mode toggle to Degrees or Radians depending on how your angles are measured.
- Tap digits, operators and functions on the keypad to build your expression. Use the parentheses keys to group terms.
- Watch the top line show the expression and the bottom line show the live result.
- Press the equals key to lock in the answer, or use backspace to delete the last entry and AC to clear everything.
Formula & method
Worked examples
Evaluate (5 + 3) × 2^4 using correct order of operations.
- Parentheses first: 5 + 3 = 8
- Exponent next: 2^4 = 2 × 2 × 2 × 2 = 16
- Multiplication last: 8 × 16 = 128
Result: (5 + 3) × 2^4 = 128
Find sin(30) with the angle mode set to Degrees.
- Convert to radians: 30 × π ÷ 180 = 0.523599 radians
- Take the sine of 0.523599 radians
- sin(0.523599) = 0.5
Result: sin(30°) = 0.5
Compute log(1000) + 5! to combine a logarithm and a factorial.
- log(1000) is the base-10 logarithm: 10^3 = 1000, so log(1000) = 3
- 5! = 5 × 4 × 3 × 2 × 1 = 120
- Add the two results: 3 + 120 = 123
Result: log(1000) + 5! = 123
Buttons and what each function does
| Button | Meaning | Example | Result |
|---|---|---|---|
| x^y | x raised to the power y | 2^10 | 1024 |
| x² | Square the value | 9^2 | 81 |
| √ | Square root | sqrt(2) | 1.41421356237 |
| 1/x | Reciprocal (one over x) | 1/x of 4 | 0.25 |
| x! | Factorial of a whole number | 6! | 720 |
| log | Base-10 logarithm | log(1000) | 3 |
| ln | Natural logarithm (base e) | ln(e) | 1 |
| π | Pi constant | π | 3.14159265359 |
Order of operations the calculator applies (highest first)
| Priority | Operation |
|---|---|
| 1 (highest) | Parentheses ( ) |
| 2 | Functions (sin, cos, tan, log, ln, sqrt) and factorial ! |
| 3 | Exponent ^ |
| 4 | Multiplication × and division ÷ |
| 5 (lowest) | Addition + and subtraction − |
Common mistakes to avoid
- Leaving the angle mode in the wrong setting. sin(30) is 0.5 in degree mode but about −0.988 in radian mode, because 30 radians is a completely different angle. Always check whether the toggle reads Degrees or Radians before using sin, cos or tan.
- Forgetting to close a parenthesis. Every open bracket needs a matching close bracket. An unclosed group makes the expression incomplete, so the calculator shows an error instead of a number. Count your brackets or use the live preview to spot the problem.
- Expecting left-to-right evaluation. 2 + 3 × 4 is 14, not 20, because multiplication is done before addition. If you really want the addition first, wrap it in parentheses: (2 + 3) × 4 = 20.
- Taking a factorial or root of an invalid number. Factorial is only defined for non-negative whole numbers, and the square root of a negative number is not a real value. The calculator will report an error rather than guess what you meant.
Glossary
- Operand
- A number that an operation acts on, such as the 2 and 3 in 2 + 3.
- Operator
- A symbol that combines operands, such as +, −, ×, ÷ or ^.
- Radian
- A unit of angle where a full circle is 2π radians. 180 degrees equals π radians.
- Factorial
- The product of all positive whole numbers up to n, written n!. For example 4! = 24.
- Natural logarithm
- The logarithm to base e (about 2.71828), written ln. It answers e to what power gives this number.
- Reverse Polish Notation
- A bracket-free way of writing expressions where the operator follows its operands, used internally to evaluate the input.
Frequently asked questions
How do I switch between degrees and radians?
Use the toggle above the keypad. When it reads Degrees, an angle like sin(30) is treated as 30 degrees; when it reads Radians, the same 30 is treated as 30 radians. Set the mode before entering a trig function so the conversion is correct.
What order does the calculator evaluate operations in?
It follows the standard order of operations: parentheses first, then functions and factorial, then exponents, then multiplication and division, and finally addition and subtraction. To force a different order, group the part you want first inside parentheses.
What is the difference between log and ln?
The log button is the base-10 logarithm, so log(1000) = 3 because 10 to the power 3 is 1000. The ln button is the natural logarithm to base e (about 2.71828), so ln(e) = 1. Both require a positive input.
How does the factorial button work?
The x! button computes the factorial of the value before it: the product of all whole numbers from 1 up to that number. So 5! = 5 × 4 × 3 × 2 × 1 = 120. Factorial is only defined for non-negative whole numbers.
Why does sqrt of a negative number show an error?
The square root of a negative number is not a real number, so a real-valued calculator cannot return it. The tool reports an error rather than a meaningless result. The same applies to a logarithm of zero or a negative number.
Is my calculation sent anywhere?
No. Everything runs entirely in your browser using a safe expression parser, with no server calls and no data leaving your device. The calculator never runs your input as code, it tokenizes and evaluates it with a stack-based algorithm.