Sig Figs Calculator
Free online significant figures calculator for students, teachers, and scientists. Solve expressions, count sig figs, apply rounding rules, and handle log/ln operations with precision.
Sig Figs Calculator
Free online significant figures calculator for students, teachers, and scientists. Solve expressions, count sig figs, apply rounding rules, and handle log/ln operations with precision.
Results
Significant figures
- 1.52 sig figs
- 51 sig fig
- 11 sig fig
Rules
- Any non-zero digit is significant.
- Zeros between non-zero digits are significant (e.g. 205, 3.604).
- If there is a decimal point, trailing zeros are significant (e.g. 90.7500).
- Leading zeros are not significant (e.g. 0.0025 has 2 sig figs).
- Addition/subtraction round by least number of decimals.
- Does not apply the even rule.
About the Significant Figures Calculator
Our Significant Figures Calculator is the most comprehensive and accurate tool for counting significant figures, solving mathematical expressions, and applying proper rounding rules for scientific calculations. Perfect for students, teachers, scientists, and engineers who need precise measurements and calculations in chemistry, physics, biology, and engineering applications.
This free online calculator supports complex mathematical expressions including addition, subtraction, multiplication, division, exponentiation, logarithms (log, ln), and scientific notation. The tool automatically applies significant figure rules and provides educational explanations to help users understand the underlying principles of measurement precision and uncertainty.
Key Features for Scientific Calculations
Advanced Expression Solver
Solve complex mathematical expressions with proper significant figure handling. Supports +, -, ×, ÷, ^, parentheses, log, ln, and scientific notation.
Accurate Sig Fig Counting
Automatically count significant figures following standard scientific rules. Handles leading zeros, trailing zeros, decimal points, and scientific notation correctly.
Addition/Subtraction Rule
Automatically applies the addition/subtraction rule, rounding results to the least number of decimal places among the operands for precise calculations.
Educational Features
Includes comprehensive rules, examples, and step-by-step explanations to help students and professionals understand significant figure principles.
Scientific Applications
Perfect for chemistry lab calculations, physics problem solving, engineering measurements, and any scientific work requiring measurement precision.
User-Friendly Interface
Responsive design with interactive number pad, preset expressions, real-time validation, and one-click copy functionality for easy use on any device.
Perfect for Students, Teachers & Scientists
Students
Master significant figures for homework, exams, and lab reports. Verify answers and understand the rules with step-by-step explanations.
Teachers
Create examples, verify student work, and demonstrate significant figure concepts with real-time calculations and educational content.
Scientists
Ensure measurement precision in research, lab work, and publications. Handle complex calculations with proper significant figure rules.
📖 How to Use the Significant Figures Calculator
Step 1: Enter Your Expression
Type your mathematical expression using standard notation. Supported operations: +, -, ×, ÷, ^, log, ln, parentheses, and scientific notation (e.g., 1.23e-4).
Step 2: Set Significant Figures
Use the slider to set your desired number of significant figures. The calculator will automatically round results to maintain precision.
Step 3: Get Results & Analysis
View the calculated result, significant figure count, and step-by-step explanation of how the rules were applied.
📐 Rules of Significant Figures - Complete Guide
Counting Significant Figures
Calculation Rules
🔬 Advanced Features & Scientific Applications
Mathematical Functions
- • Logarithm (log): Base-10 logarithm with proper sig fig handling
- • Natural Log (ln): Natural logarithm (base-e) calculations
- • Exponentiation: Power operations with precision control
- • Scientific Notation: Full support for e-format numbers
- • Complex Expressions: Nested parentheses and operator precedence
Scientific Applications
- • Chemistry: Lab calculations, concentration, pH, stoichiometry
- • Physics: Measurement uncertainty, experimental data analysis
- • Engineering: Precision measurements, tolerance calculations
- • Biology: Statistical analysis, experimental results
- • Research: Publication preparation, data validation
💡 Practice Problems & Real-World Examples
Chemistry Example: pH Calculation
Problem: Calculate pH from [H⁺] = 2.5 × 10⁻⁴ M
Solution: pH = -log(2.5e-4) = 3.60 (2 sig figs from 2.5)
Physics Example: Density Calculation
Problem: Mass = 12.34 g, Volume = 5.6 cm³
Solution: Density = 12.34 ÷ 5.6 = 2.2 g/cm³ (2 sig figs from 5.6)
Engineering Example: Area Calculation
Problem: Length = 12.5 m, Width = 8.75 m
Solution: Area = 12.5 × 8.75 = 109 m² (3 sig figs from 12.5)
🔗 Related Scientific & Mathematical Tools
🧮 Mathematical Tools
- • Advanced Calculator - Complex mathematical operations
- • Percentage Calculator - Percentage calculations and ratios
- • Significant Figures - Precision calculations and sig fig rules
🔬 Scientific Utilities
- • Unit Converter - Measurement conversions
- • Timer & Stopwatch - Time tracking for experiments
- • Date Calculator - Time calculations and differences
Ready to Master Significant Figures?
Start using our professional significant figures calculator now. Perfect for students, teachers, scientists, and engineers!
Frequently Asked Questions About Significant Figures
How do you count significant figures?
Count all non-zero digits, zeros between non-zero digits, and trailing zeros when a decimal point is present. Leading zeros are not significant. For example: 0.0025 has 2 sig figs, 1.200 has 4 sig figs, and 100 has 1 sig fig.
What is the addition/subtraction rule for significant figures?
When adding or subtracting, round the result to the least number of decimal places among all operands. For example: 12.34 + 1.2 + 0.567 = 14.1 (rounded to 1 decimal place).
How do significant figures work in multiplication and division?
For multiplication and division, the result should have the same number of significant figures as the operand with the fewest significant figures. For example: 2.5 × 3.147 = 7.9 (2 sig figs, limited by 2.5).
Does this calculator support scientific notation?
Yes! Enter scientific notation using 'e' format (e.g., 1.23e-4 for 1.23×10⁻⁴). The calculator correctly counts significant figures in the coefficient and handles the exponent appropriately.
Is this calculator suitable for chemistry and physics?
Absolutely! This calculator is specifically designed for scientific applications including chemistry lab calculations, physics problem solving, engineering measurements, and any field requiring measurement precision and uncertainty analysis.