Math skills for physical science

Mathematical Skills in Physical Sciences

• Accuracy: Closeness of a measurement to the true value.

• Precision: Closeness of a set of measurements to each other.

Significant Figures

• Significant figures indicate the precision of a measurement.

• Important for conveying exactness in scientific reporting.

• Example: The number of significant figures in measurements affects calculations.

Precision and Accuracy Examples

• High Accuracy, Low Precision: Measurements close to true value but scattered.

• Low Accuracy, High Precision: Measurements clustered but far from true value.

• High Precision, High Accuracy: Measurements clustered and close to true value.

Calculations with Significant Figures

• Calculated values cannot be more precise than the least precise measurement used.

• When adding or subtracting, results are limited by the least precise decimal place.

• For multiplication/division, results are rounded to the number with the least significant figures.

Dimensional Analysis

• Useful for converting measurements from one unit to another.

• Example: Convert 3.42 cm to inches using the conversion factor (1 in = 2.54 cm).

• Dimensional analysis employs ratios/factors that simplify calculations.

Summary

• Understanding accuracy, precision, and significant figures is vital for scientific calculations.

• Dimensional analysis facilitates unit conversions in various measurements for clarity and accuracy.