1. 2.31 + 9.1028
   • Least significant figures: 2.31 (3 significant figures)
   • Calculation: \(2.31 + 9.1028 = 11.4128\)
   • Rounded: 11
2. 891.5 - 402
   • Least significant figures: 402 (3 significant figures)
   • Calculation: \(891.5 - 402 = 489.5\)
   • Rounded: 490
3. 3.15 * 2.5 * 4.00
   • Least significant figures: 2.5 (2 significant figures)
   • Calculation: \(3.15 \times 2.5 \times 4.00 = 31.5\)
   • Rounded: 32
4. 40.8 / 5.05
   • Least significant figures: 5.05 (3 significant figures)
   • Calculation: \(40.8 / 5.05 \approx 8.0792\)
   • Rounded: 8.1
5. 312 - 100
   • Least significant figures: 100 (1 significant figure)
   • Calculation: \(312 - 100 = 212\)
   • Rounded: 210
6. 2451.1 - 2450.
   • Least significant figures: 2450. (4 significant figures)
   • Calculation: \(2451.1 - 2450 = 1.1\)
   • Rounded: 1.1
7. 0.0036 * 0.02
   • Least significant figures: 0.02 (1 significant figure)
   • Calculation: \(0.0036 \times 0.02 = 0.000072\)
   • Rounded: 0.000072
8. 0.075 / 0.030
   • Least significant figures: 0.030 (2 significant figures)
   • Calculation: \(0.075 / 0.030 = 2.5\)
   • Rounded: 2.5
9. 102 * 0.1924
   • Least significant figures: 102 (3 significant figures)
   • Calculation: \(102 \times 0.1924 = 19.6248\)
   • Rounded: 20
10. 5,600 * 12.31
    • Least significant figures: 5,600 (2 significant figures)
    • Calculation: \(5,600 \times 12.31 = 68936\)
    • Rounded: 69,000

Supplemental Knowledge

Significant figures play a vital role in scientific calculations to ensure precision and accuracy. A significant figure count refers to all non-zero digits contributing towards its precision; any zeros between significant figures; as well as trailing zeros that form part of its decimal representation are all considered important contributors.

Key Rules for Significant Figures:

1. Addition/Subtraction:
   • The result should be rounded off to the least number of decimal places among the numbers being added or subtracted.
2. Multiplication/Division:
   • The result should be rounded off to the least number of significant figures among the numbers being multiplied or divided.

Practical Insights

Imagine yourself as a chemist performing experiments requiring you to measure substances accurately for reproducible and reliable results. Precision must be reported with an adequate number of significant figures so as to maintain reproducibility and ensure accurate outcomes in any experiments that take place.

Understanding how to properly use significant figures can greatly enhance your mathematical precision and scientific reporting! At UpStudy, we provide comprehensive tools and resources designed to help you master these essential skills.
For accurate arithmetic operations involving significant figures, try UpStudy’s Decimals Calculator today!