🎯 Sig Fig Operations

📖 Rules for Significant Figures

Rule Example Sig Figs
Non-zero digits 1234 4
Leading zeros 0.0045 2
Captive zeros 1005 4
Trailing zeros (after decimal) 45.00 4
Trailing zeros (no decimal) 1500 2 (ambiguous)

💡 Key Concepts

Why Significant Figures Matter

Significant figures indicate the precision of a measurement. When performing calculations, the result should reflect the precision of the least precise input.

Addition/Subtraction Rule

Round to the least precise decimal place. For example: 12.11 + 3.2 = 15.31 → 15.3 (round to tenths)

Multiplication/Division Rule

Round to the least number of significant figures. For example: 4.56 × 1.4 = 6.38 → 6.4 (2 sig figs)

🔢 Common Examples

1
0.0045600 has 5 sig figs (non-zero digits + trailing zeros after decimal)
2
123.040 has 5 sig figs (captive zero + trailing zero)
3
Round 3.14159 to 3 sig figs = 3.14