What is the square root of 16, or the log of 1000? The Scientific Calculator answers these with on-screen keys for roots, powers, logarithms, and trigonometry, plus the constants π and e.
It suits students in algebra, geometry, and physics who need more than a basic keypad. You press keys, or type on your keyboard, to build an expression, then press equals.
Table of Contents
- What the Calculator Does
- How to Use It, Step by Step
- How the Expression Is Evaluated
- Worked Examples
- How to Read the Results
- Signs, Brackets, and Other Tips
- Limitations and Assumptions
- FAQs About the Scientific Calculator
What the Calculator Does
The keypad has five columns. Everything you press builds one expression on the display.
- Functions: sin, cos, tan, ln, log, and the square root key √.
- Power Key: x² squares the number, constant, or bracket just before it.
- Constants: π (3.14159...) and e (2.71828...).
- Arithmetic: digits, a decimal point, ÷, ×, -, +, and the ( and ) brackets.
- Sign Key: +/- sits alone in the last row and spans the full width.
- Angle Mode: the DEG / RAD button switches between degrees and radians.
- Editing: ⌫ removes the last piece you typed, and C clears everything.
The = key evaluates the whole expression using standard order of operations.
How to Use It, Step by Step
- Check the line above the keypad that reads "Angle mode". It shows RAD or DEG.
- Click digits and operators to type a number or an expression.
- For a function, press the function key first, such as √, then the number.
- Use π or e where you need a constant. You can place a number directly before it.
- Press = to see the result on the display.
- Press C or just type a new number to start the next problem.
Function keys open a bracket for you. Press ) to close it, or let = close any open brackets.
How the Expression Is Evaluated
The tool keeps your key presses as a list of pieces and reads them with a built-in expression parser. The usual rules apply: brackets first, then powers, then multiplication and division, then addition and subtraction.
Function Key→Number→Close Bracket )→Equals→Result
- sin(x), cos(x), tan(x): x uses the angle mode shown on screen.
- ln(x) is the natural logarithm. log(x) is the base 10 logarithm.
- √(x) is the square root, and x² means x times x.
- π = 3.141592653589793 and e = 2.718281828459045, as stored by the browser.
The x² key only squares the last number. So 2 + 3 then x² means 2 + 9, not (2 + 3) squared.
Worked Examples
Dana checks a homework set. She presses the keys in the order shown, and the table lists what the display returns.
| Keys Pressed | Meaning | Display |
|---|
| 2 + 3 × 4 = | Multiply first, then add | 14 |
| √ 16 ) = | Square root of 16 | 4 |
| log 1000 ) = | Base 10 logarithm | 3 |
| ln 10 ) = | Natural logarithm | 2.30258509299 |
| ( 2 + 3 ) x² = | Square of a bracket | 25 |
| √ 3 x² + 4 x² ) = | Right triangle with legs 3 and 4 | 5 |
| π × 2 × 5 = | Circle circumference, radius 5 | 31.4159265359 |
| sin 30 ) = (RAD) | Sine of 30 radians | -0.988031624093 |
| sin 30 ) = (DEG) | Sine of 30 degrees | 0.5 |
| sin 30 × π ÷ 180 ) = (RAD) | Sine of 30 degrees, converted by hand | 0.5 |
The sine rows show why the angle unit matters. The same 30 gives very different answers in radians and degrees.
How to Read the Results
Results are rounded to 12 significant digits, so the display stays tidy. The sum 0.1 + 0.2 shows 0.3 instead of a long string of digits. Round the answer further if your class requires it.
Scientific results do not get comma separators. Very large or very small values switch to e notation, so 1 ÷ 10000000 shows 1e-7.
The display shows function names as they appear on the keys, such as sin( and sqrt(. It also shows the squared sign and the × and ÷ symbols. A red message under the display explains any Error.
Signs, Brackets, and Other Tips
The +/- key flips the sign of the last number or constant. For example, 5 + 3 then +/- becomes 5 - 3, which equals 2. It does nothing on an empty display, right after a bracket, or after a function key.
You can skip the × key in some places. Entering 2 π, 2 ( 3 ), or 3 √ 4 ) multiplies for you. These give 6.28318530718, 6, and 6.
For fractions, use the fraction calculator. For quick sums, the standard calculator is simpler to read.
Solving ax² + bx + c = 0 is easier with the quadratic equation solver. Data sets belong in the standard deviation calculator. Grids of numbers go to the matrix calculator. More tools live in the math and science calculators hub.
Limitations and Assumptions
- There are only two angle modes, degrees and radians. There is no gradian mode.
- There is no memory, ANS key, history, 1/x key, factorial, inverse trig, or hyperbolic function.
- The x² key is the only power. There is no general power key or e^x key.
- Implicit multiplication ranks with × and ÷, so 1 ÷ 2 π means (1 ÷ 2) × π, which is 1.57079632679.
- Results are for study and quick checks, not for safety-critical design work.
FAQs About the Scientific Calculator
Does the Scientific Calculator use degrees or radians?
It starts in radians, and the screen shows "Angle mode: RAD". Press the DEG / RAD button to switch to degrees. The mode stays the same until you press the button again, even after C.
Why does sin(π) show exactly zero?
The tool returns exact values at whole quarter turns, so sin(π) shows 0 and cos(90 degrees) shows 0. Tan at an odd quarter turn, such as 90 degrees, shows Error because it has no answer.
What is the difference between ln and log?
The ln key is the natural logarithm, with base e. The log key is the base 10 logarithm. So ln(e) is 1, and log(1000) is 3.
Why do I get Error when I press equals?
Error means the result is undefined, such as the square root of a negative number or ln of 0. Empty or unmatched brackets also give Error. A division by zero shows "Cannot divide by zero" instead.
Can I square a negative number?
Yes. Enter - 3 and then x² to get 9, because the sign stays with the number. Strict math reads -3² as -9, so type - ( 3 x² ) if you want that.
Can I type on my keyboard?
Yes. Digits, the point or comma, + - * /, x, brackets, Enter, Backspace, and Escape all work. Backspace removes a whole function such as sin( in one press.
This calculator gives general estimates only and is not professional advice. Reviewed for general accuracy by Prof. Dr. Khalil Mudassar, PhD.