Scientific Calculator

About the Scientific Calculator

A scientific calculator performs the full range of mathematical operations required for high school through university-level science, mathematics, and engineering — extending beyond basic arithmetic to include trigonometric functions (sin, cos, tan and their inverses arcsin, arccos, arctan), hyperbolic functions, logarithms (natural log, log base 10, and any custom base), exponential functions, powers and roots, factorials, permutations and combinations, modular arithmetic, and mathematical constants (π, e, φ). Our free online scientific calculator replicates the functionality of physical scientific calculators from Casio and Texas Instruments that students use worldwide, making it accessible on any device without purchasing or carrying hardware. It strictly follows the PEMDAS/BODMAS order of operations, supports parentheses for complex expression grouping, maintains a calculation history, and provides both degree and radian mode for trigonometric functions.

How It Works

Expression evaluation follows PEMDAS (Parentheses, Exponents, Multiplication and Division left to right, Addition and Subtraction left to right). Example: 2 + 3 x 4^2 = 2 + 3 x 16 = 2 + 48 = 50, not (2+3) x 4^2 = 80. Trigonometry modes: sin(90°) = 1 in degree mode; sin(pi/2) = 1 in radian mode. Natural log (ln) is the inverse of e^x: ln(e^3) = 3 and e^(ln 7) = 7. Log base 10 is the common logarithm: log(1000) = 3 since 10^3 = 1000. Custom base: log_b(x) = ln(x)/ln(b). Factorial: 5! = 5x4x3x2x1 = 120. Permutations: P(n,r) = n!/(n-r)!. Combinations: C(n,r) = n!/(r!(n-r)!).

Tips & Best Practices

• ✓Always check your angle mode before computing trigonometric functions — degree mode (DEG) and radian mode (RAD) give completely different answers. sin(90) = 1 in DEG; sin(90) = 0.894 in RAD.
• ✓The Pythagorean identity sin^2(x) + cos^2(x) = 1 always holds — use it to verify trig results and as a shortcut in calculations.
• ✓Factorial overflow: 20! = 2.4 x 10^18; 69! is approximately 1.7 x 10^98, the largest factorial most calculators can display before overflow.
• ✓ANS key: the previous result is stored and accessible. Chain calculations like computing the hypotenuse: enter 3, x^2, +, 4, x^2, =, then sqrt(ANS) without retyping.
• ✓Order of operations trap: 6/2(1+2) = 6/2x3 = 9 (left-to-right division then multiplication). The calculator applies standard PEMDAS strictly — ambiguous expressions depend on notation.
• ✓Inverse trig: arcsin(0.5) = 30° (in degree mode). These functions return the angle whose trig ratio equals the input value. Range: arcsin and arccos output 0°-180°; arctan outputs -90° to 90°.
• ✓EE or EXP button enters scientific notation: 6.02 EE 23 = 6.02 x 10^23 (Avogadro's number). Useful for physics and chemistry with very large or small quantities.
• ✓Modular arithmetic (MOD): 17 mod 5 = 2 (remainder after division). Used extensively in computer science, cryptography, and calendar calculations.

Who Uses This Calculator

High school students in algebra, trigonometry, pre-calculus, and chemistry. University students in calculus, physics, engineering, and statistics. Test-takers for SAT, ACT, GRE, and GMAT where scientific calculators are permitted. Teachers creating worked examples for classroom demonstrations. Professionals performing engineering, financial modelling, or scientific calculations on any device.