83.1 23.534 0.0047 Sig Fig Calculator

How to Use This Calculator

Using the calculator is simple:

1. Enter the numbers you want to analyze in the input fields
2. Click the "Calculate" button
3. Review the results showing the number of significant figures for each number
4. Use the chart visualization to compare the numbers

The calculator will show you the exact number of significant figures for each number according to standard scientific rules.

Significant Figure Rules

Significant figures follow these key rules:

1. Non-zero digits are always significant (e.g., 345 has 3 sig figs)
2. Any zeros between two significant digits are significant (e.g., 101 has 3 sig figs)
3. Leading zeros are not significant (e.g., 0.0047 has 2 sig figs)
4. Trailing zeros in a decimal number are significant (e.g., 83.10 has 4 sig figs)
5. Trailing zeros in a whole number without a decimal point may or may not be significant (e.g., 800 could have 1, 2, or 3 sig figs)

Worked Examples

Example 1: 83.1

This number has 3 significant figures because:

• 8 and 3 are non-zero and significant
• The decimal point shows that the 1 is significant
• There are no trailing zeros to consider

Example 2: 23.534

This number has 5 significant figures because:

• All digits (2, 3, 5, 3, 4) are non-zero and significant
• The decimal point shows that all digits are significant

Example 3: 0.0047

This number has 2 significant figures because:

• The leading zeros are not significant
• The first non-zero digit (4) is significant
• The next digit (7) is significant
• The trailing zero after the decimal is not significant

Common Mistakes

When working with significant figures, these common errors occur:

1. Counting leading zeros as significant (e.g., thinking 0.0047 has 4 sig figs)
2. Ignoring trailing zeros in decimal numbers (e.g., thinking 83.10 has 2 sig figs)
3. Assuming all zeros in a whole number are significant (e.g., thinking 800 has 3 sig figs)
4. Not considering the decimal point's role in determining significance