Counting SF:
- Non-zero digits: always significant (345 = 3 SF)
- Zeros between non-zero: significant (3005 = 4 SF)
- Leading zeros: NOT significant (0.0034 = 2 SF)
- Trailing zeros after decimal: significant (3.400 = 4 SF)
- Trailing zeros without decimal: ambiguous (2300 = 2, 3, or 4 SF — use scientific notation)
Arithmetic rules:
- Multiplication/Division: result has fewest SF of inputs
- Addition/Subtraction: result has fewest decimal places of inputs
- Exact numbers (2 in circumference = 2pir, defined values): infinite SF
Examples:
- 3.24 * 2.1 = 6.804 -> 6.8 (2 SF)
- 3.24 + 2.1 = 5.34 -> 5.3 (1 decimal place)
- 0.020300 has 5 SF (only leading zeros don't count)