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SigFig Calculator Pro 2.0

Basic Significant Figures Calculator

First Number

Operation Count Significant Figures Addition (+) Subtraction (-) Multiplication (×) Division (÷)

Second Number

Result

Explanation

Enter a number and select an operation to see the result with significant figures.

Scientific Notation Calculator

Enter Number in Scientific Notation

Operation Convert to Standard Form Count Significant Figures Addition Subtraction Multiplication Division

Second Number

Explanation

Expression Evaluator

Enter Mathematical Expression

Step-by-Step Evaluation

Batch Processing

Enter Numbers (one per line)

Operation Count Significant Figures Sum All Numbers Calculate Average Round to Specific Sig Figs

Significant Figures to Round To

Batch Results

Advanced Functions

Enter Number

Logarithm (log₁₀)

Natural Log (ln)

Square Root (√)

Exponent (eˣ)

Sine (sin)

Cosine (cos)

Tangent (tan)

Power (xʸ)

Exponent (y)

Explanation

Calculation History

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Significant Figures Rules

Rule 1: Non-Zero Digits

All non-zero digits are significant. For example, 123.45 has 5 significant figures.

Rule 2: Zeros Between Non-Zero Digits

Zeros between non-zero digits are significant. For example, 101.205 has 6 significant figures.

Rule 3: Leading Zeros

Leading zeros are never significant. For example, 0.0045 has 2 significant figures.

Rule 4: Trailing Zeros

Trailing zeros are significant only if the number contains a decimal point. For example, 1200 has 2 significant figures, but 1200.0 has 5.

Calculation Examples

Addition Example

Problem: 12.35 + 1.2 = ?

Solution: 12.35 + 1.2 = 13.55 → 13.6 (rounded to 1 decimal place, matching the least precise number)

Multiplication Example

Problem: 3.65 × 8.4 = ?

Solution: 3.65 × 8.4 = 30.66 → 31 (rounded to 2 significant figures, matching the number with the least sig figs)

Scientific Notation Example

Problem: (2.5 × 10³) × (3.2 × 10⁴) = ?

Solution: (2.5 × 3.2) × 10^(3+4) = 8.0 × 10⁷ (rounded to 2 significant figures)

Frequently Asked Questions

What are significant figures? ▼

Significant figures (sig figs) are the digits in a number that carry meaning contributing to its precision. They include all digits except leading zeros, trailing zeros when they are placeholders, and some digits introduced by calculations.

How do you count significant figures in scientific notation? ▼

In scientific notation, only the digits in the coefficient are counted as significant figures. For example, 1.234 × 10⁵ has 4 significant figures. The exponent part does not affect the count of significant figures.

How are significant figures handled in logarithms? ▼

For logarithms, the number of significant figures in the result is equal to the number of significant figures in the original number. The decimal places in the logarithm result correspond to the significant figures in the original number.

What are the rules for significant figures in complex expressions? ▼

In complex expressions, follow the order of operations and apply significant figure rules at each step. For addition/subtraction, consider decimal places. For multiplication/division, consider significant figures. The final result should reflect the least precise measurement in the calculation.

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