What Is a Scientific Calculator?
Most people have used a basic calculator without giving it much thought. A scientific calculator is different. It carries a set of extra functions designed for mathematics, physics, chemistry, engineering and statistics. If you have ever stared at a row of buttons labelled sin, cos, ln and log and felt unsure what to press, this guide is for you.
Basic vs Scientific Calculator
| Basic Calculator | Scientific Calculator | |
|---|---|---|
| Operations | Add, subtract, multiply, divide | All basic plus trig, log, roots, powers, factorials and more |
| Who uses it | Anyone needing quick arithmetic | Students, engineers, scientists, programmers |
| Typical subjects | Shopping, cooking, budgeting | Maths, physics, chemistry, finance, statistics |
Powers and Roots
| Function | What it does |
|---|---|
| x squared | Multiplies a number by itself. Example: 6² = 36. |
| x to the power of n | Raises a number to any power. Example: 2⁸ = 256. |
| Square root | Finds the number that multiplies by itself to give the input. √49 = 7. |
| nth root | Finds the nth root. Example: cube root of 27 = 3. |
For dedicated root calculations, use the Square Root Calculator or the Exponent Calculator.
Trigonometric Functions
Trigonometry describes the relationships between the angles and sides of triangles. These functions are essential for geometry, physics, engineering and navigation.
| Function | What it calculates |
|---|---|
| sin (sine) | Ratio of the opposite side to the hypotenuse in a right triangle |
| cos (cosine) | Ratio of the adjacent side to the hypotenuse |
| tan (tangent) | Ratio of the opposite side to the adjacent side |
| sin⁻¹, cos⁻¹, tan⁻¹ | Find the angle when you know the ratio |
Important: Before using trigonometric functions, check whether your calculator is set to degrees or radians. Most everyday school problems use degrees. A full circle = 360 degrees or 2π radians. Sin(90) in degrees = 1. Sin(90) in radians ≈ 0.894. These are very different numbers.
Logarithms
A logarithm answers: to what power must I raise a base to get this number? Logarithms appear in chemistry (pH), acoustics (decibels), earthquake science (Richter scale) and many areas of finance.
| Function | What it means |
|---|---|
| log (base 10) | The power of 10 that gives the input. log(1000) = 3 because 10³ = 1000. |
| ln (natural log) | The power of e that gives the input. e ≈ 2.718. Used in calculus and growth models. |
| 10ˣ | The inverse of log. 10³ = 1000. |
| eˣ | The inverse of ln. Used in exponential growth and decay problems. |
For dedicated logarithm calculations, use the Logarithm Calculator on CalConvs.
Factorial
The factorial of a number is that number multiplied by every positive integer below it. Written as n! Factorials appear in probability, combinations and permutations.
Factorial Examples
5! = 5 × 4 × 3 × 2 × 1 = 120
4! = 4 × 3 × 2 × 1 = 24
0! = 1 (by definition)
Memory Functions
| Button | What it does |
|---|---|
| M+ | Adds the current result to memory |
| M− | Subtracts the current result from memory |
| MR / RCL | Recalls the stored value |
| MC | Clears the memory |
Pi and Euler's Number
| Constant | Value and use |
|---|---|
| π (Pi) | ≈ 3.14159. The ratio of a circle's circumference to its diameter. |
| e (Euler's number) | ≈ 2.71828. The base of the natural logarithm. Appears in growth, finance and probability. |
When to Use a Scientific Calculator
You need a scientific calculator when your problem involves geometry problems with angles or triangles, physics problems with forces or waves, chemistry problems with pH or decay, statistics involving standard deviation, or finance problems with compound interest or exponential growth.
Use the Scientific Calculator for all of these. For everyday arithmetic, the Simple Calculator is faster and less cluttered.
Frequently Asked Questions
Do I need a scientific calculator for GCSE or A-level maths?
Yes. Most GCSE and A-level exams allow or require a scientific calculator. You will need it for trigonometry, standard form, logarithms and statistical calculations. The free Scientific Calculator on CalConvs covers all these functions.
What is the difference between log and ln?
Log (log base 10) asks: what power of 10 gives this number? Ln (natural log) asks: what power of e gives this number? Log is common in engineering and everyday science. Ln appears in calculus, growth models and financial mathematics.
Why does sin(90) give a different answer in degrees vs radians?
Because 90 degrees and 90 radians are completely different angles. 90 degrees is a right angle. 90 radians is approximately 14.3 full rotations. Always set your calculator to the right mode before using trigonometric functions.
What does the ANS button do?
ANS recalls the result of your most recent calculation so you can use it in the next step without retyping it. This is useful for multi-step calculations where each step feeds into the next.