Convert the following quantities into SI units with the correct number of significant figures. (b) 66.31 lb

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Identify the conversion factor between pounds (lb) and kilograms (kg). The standard conversion is 1 lb = 0.45359237 kg.

Multiply the given mass in pounds by the conversion factor to convert it to kilograms: \( 66.31 \text{ lb} \times 0.45359237 \text{ kg/lb} \).

Perform the multiplication to find the mass in kilograms.

Determine the number of significant figures in the original measurement (66.31 lb), which is four significant figures.

Round the result to the correct number of significant figures, ensuring the final answer in kilograms has four significant figures.

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SI Units

The International System of Units (SI) is the standard system of measurement used in science and engineering. It includes base units such as meters for length, kilograms for mass, and seconds for time. Understanding SI units is essential for converting measurements from other systems, like the imperial system, to ensure consistency and accuracy in scientific calculations.

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02:13

SI Units

Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. When converting measurements, it is crucial to maintain the correct number of significant figures to reflect the precision of the original measurement and avoid misleading results.

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Significant Figures Example

Unit Conversion

Unit conversion is the process of converting a quantity from one unit to another, often using conversion factors. For example, to convert pounds to kilograms, one must know the conversion factor (1 lb = 0.453592 kg). This process is vital in chemistry and physics to ensure that all measurements are in compatible units for calculations and comparisons.

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