Free Online Scientific Calculator

Perform complex mathematical calculations with our advanced scientific calculator. Mobile-friendly, fast, and accurate.

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Complete User Guide

Learn how to use all features of the scientific calculator effectively.

Basic Operations

Addition (+): Add two or more numbers. Example: 5 + 3 = 8
Subtraction (−): Subtract numbers. Example: 10 - 4 = 6
Multiplication (×): Multiply numbers. Example: 6 × 7 = 42
Division (÷): Divide numbers. Example: 20 ÷ 4 = 5
Percentage (%): Calculate percentage. Example: 50% = 0.5

Trigonometric Functions

sin: Calculate sine of an angle. Example: sin(30°) = 0.5
cos: Calculate cosine of an angle. Example: cos(60°) = 0.5
tan: Calculate tangent of an angle. Example: tan(45°) = 1
sin⁻¹, cos⁻¹, tan⁻¹: Inverse trigonometric functions (arc functions)
RAD/DEG: Toggle between radian and degree modes

Remember to select the correct angle mode (DEG or RAD) before calculating trigonometric functions.

Logarithmic Functions

log: Logarithm base 10. Example: log(100) = 2
ln: Natural logarithm (base e). Example: ln(e) = 1
EXP: Exponential function (e^x). Example: EXP(1) = 2.718...

Power & Root Functions

x²: Square a number. Example: 5² = 25
x^y: Raise x to the power of y. Example: 2^3 = 8
√: Square root. Example: √16 = 4
x!: Factorial. Example: 5! = 120

Mathematical Constants

π (Pi): Approximately 3.14159... Used in circle calculations
e (Euler's number): Approximately 2.71828... Used in natural logarithms and exponential growth

Parentheses & Order of Operations

( ): Use parentheses to group operations
Example: (5 + 3) × 2 = 16 (not 11)
The calculator follows PEMDAS/BODMAS order:
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication & Division (left to right)
4. Addition & Subtraction (left to right)

Clear & Delete Functions

AC (All Clear): Clears everything and resets calculator
C (Clear): Clears current entry
⌫ (Backspace): Deletes the last digit or character

Calculation History

Automatic Saving: Every calculation is automatically saved to history
Reuse Results: Click any history item to load its result into the calculator
Persistent Storage: History is saved locally and remains even after closing the browser
Clear History: Click the trash icon to clear all saved calculations
View Details: Each history entry shows the expression, result, and timestamp
Maximum Items: History stores up to 50 most recent calculations

Tips & Tricks

Keyboard Support: You can use your keyboard for numbers and basic operations
Calculation History: All calculations are saved automatically. Click any history item to reuse its result
History Storage: Your calculation history is saved locally and persists between sessions
Clear History: Use the trash icon in the history panel to clear all saved calculations
Multiple Operations: Chain multiple operations together: 5 + 3 × 2 - 1
Decimal Precision: Results are displayed with up to 10 decimal places
Error Handling: "Error" message appears for invalid operations (like division by zero)
Mobile Friendly: Works perfectly on smartphones and tablets

Common Calculation Examples - From Basic to Advanced

Learn by doing! Here are practical examples from simple arithmetic to advanced scientific calculations.

Level 1: Basic Arithmetic

Simple Addition: 45 + 67 Result: 112

Subtraction: 100 - 38 Result: 62

Multiplication: 25 × 8 Result: 200

Division: 144 ÷ 12 Result: 12

Percentage: 20% Result: 0.2 (20% = 20/100)

Decimal Operations: 3.5 + 2.75 Result: 6.25

Level 2: Order of Operations (PEMDAS)

Mixed Operations: 5 + 3 × 2 Result: 11 (multiplication first)

Using Parentheses: (5 + 3) × 2 Result: 16 (parentheses first)

Nested Parentheses: ((10 + 5) × 2) - 8 Result: 22

Complex Expression: 20 ÷ 4 + 3 × 2 Result: 11

Level 3: Powers and Roots

Square: 7² Click 7, then x² button = 49

Square Root: √144 Click 144, then √ button = 12

Power: 2^10 2, x^y, 10, = → Result: 1024

Cube: 5³ 5, x^y, 3, = → Result: 125

Pythagorean Theorem: √(3² + 4²) √((3² + 4²)) = √25 = 5

Distance Formula: √((x₂-x₁)² + (y₂-y₁)²) Example: √((5-1)² + (7-3)²) = √32 ≈ 5.66

Level 4: Percentage Calculations

Find 15% of 80: 80 × 15% 80 × 0.15 = 12

Add Tax (8%): 50 × (1 + 8%) 50 × 1.08 = 54

Discount (25% off): 120 × (1 - 25%) 120 × 0.75 = 90

Percentage Increase: (New - Old) ÷ Old × 100 (75 - 50) ÷ 50 × 100 = 50%

Tip Calculator (18%): Bill × 18% 85 × 0.18 = 15.30

Test Score: (Points ÷ Total) × 100 (47 ÷ 50) × 100 = 94%

Level 5: Trigonometry (Angles & Triangles)

Basic Sine: sin(30°) Set DEG mode, 30, sin = 0.5

Basic Cosine: cos(60°) Set DEG mode, 60, cos = 0.5

Basic Tangent: tan(45°) Set DEG mode, 45, tan = 1

Radians Mode: sin(π/6) Set RAD, π ÷ 6 = 0.5236, sin = 0.5

Find Angle (Inverse): sin⁻¹(0.5) 0.5, sin⁻¹ = 30° (in DEG mode)

Height of Building: h = d × tan(angle) 50 × tan(32°) = 31.24 meters

Slope Angle: tan⁻¹(rise/run) tan⁻¹(3 ÷ 4) = 36.87°

Wave Height: A × sin(θ) 10 × sin(30°) = 5 units

Level 6: Logarithms & Exponentials

Common Logarithm: log(100) 100, log = 2 (10² = 100)

Natural Logarithm: ln(e) e, ln = 1

Exponential Function: e² 2, EXP = 7.389

pH Calculation: -log(H⁺) -log(0.001) = 3

Doubling Time: ln(2) ÷ rate ln(2) ÷ 0.07 = 9.9 years

Decibel Level: 10 × log(I/I₀) 10 × log(100) = 20 dB

Level 7: Advanced Scientific Calculations

Factorial: 5! 5, x! = 120 (5×4×3×2×1)

Combinations: nCr = n! ÷ (r! × (n-r)!) 10C3 = 10! ÷ (3! × 7!) = 120

Circle Area: π × r² π × 5² = 78.54 sq units

Circle Circumference: 2 × π × r 2 × π × 5 = 31.42 units

Sphere Volume: (4 ÷ 3) × π × r³ (4 ÷ 3) × π × 5³ = 523.6

Compound Interest: P × (1 + r)^n 1000 × (1.05)^10 = 1628.89

Continuous Growth: P × e^(rt) 1000 × e^(0.05×10) = 1648.72

Quadratic Formula: (-b ± √(b² - 4ac)) ÷ 2a Example: a=1, b=-5, c=6 → x=2 or x=3

Level 8: Engineering & Physics

Ohm's Law: V = I × R 12V ÷ 4Ω = 3 Amperes

Kinetic Energy: KE = (1÷2) × m × v² 0.5 × 10 × 5² = 125 Joules

Frequency to Period: T = 1 ÷ f 1 ÷ 60 = 0.0167 seconds

Power Calculation: P = V² ÷ R 120² ÷ 10 = 1440 Watts

Gravitational Force: F = m × g 50 × 9.81 = 490.5 Newtons

Wave Speed: v = f × λ 440 × 0.78 = 343.2 m/s

Study Tips:

Start with Level 1 and progress gradually
Practice each example multiple times
Try modifying the numbers to understand the concept
Use the history feature to review your work
Remember: Understanding > Memorization

Why Choose Our Calculator?

Mobile Responsive

Works perfectly on all devices - smartphones, tablets, and desktops

Fast & Accurate

Instant calculations with high precision and accuracy

No Installation

Use directly in your browser - no downloads or installations required

100% Free

Completely free to use with all features unlocked

Privacy Focused

No data collection - all calculations are done locally

Keyboard Support

Use keyboard shortcuts for faster calculations