Evaluate each of the following to three significant figures...

Evaluate each of the following to three significant figures and express each answer in SI units using an appropriate prefix: $\begin{array}{llll}\text { (a) } & 354 & \text { mg }(45 & \text { km } ) /(0.0356 & \text { kN) }\end{array}$ (b) $(0.00453 \mathrm{Mg})(201 \mathrm{ms}),(\mathrm{c}) 435 \mathrm{MN} / 23.2 \mathrm{mm}$

Evaluate each of the following to three significant figures and express each answer in SI units using an appropriate prefix:
$\begin{array}{llll}\text { (a) } & 354 & \text { mg }(45 & \text { km } ) /(0.0356 & \text { kN) }\end{array}$
(b) $(0.00453 \mathrm{Mg})(201 \mathrm{ms}),(\mathrm{c}) 435 \mathrm{MN} / 23.2 \mathrm{mm}$

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Key Concepts

SI Units and Prefixes

SI units constitute the standard measurement system used in science and engineering, and prefixes are used to denote multiples or submultiples of these units. Mastery of SI prefixes (such as milli-, kilo-, mega-, etc.) is essential for converting quantities into comparable and manageable terms, especially when values vary widely in magnitude.

Dimensional Analysis

Dimensional analysis is a technique used to convert one set of units into another using conversion factors. It involves treating units algebraically, ensuring that they are correctly canceled out and replaced during the multiplication or division process. This method is crucial for verifying the correctness and consistency of physical equations.

Significant Figures

Significant figures represent the digits in a number that contribute to its precision. When performing calculations and rounding results, it is important to retain only the appropriate number of significant figures based on the precision of the given data. This practice maintains the integrity and reliability of numerical answers in scientific work.

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