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n order-of-magnitude calculations, you should (a) payclose attention to significant figures, (b) work primarilyin the British system, (c) get results within a factor of 100,(d) express a quantity to the power of 10 closest to theactual value.

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n order-of-magnitude calculations, you should (a) payclose attention to significant figures, (b) work primarilyin the British system, (c) get results within a factor of 100,(d) express a quantity to the power of 10 closest to theactual value.

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Solution

In order-of-magnitude calculations, you should:

a) Not pay close attention to significant figures: Order-of-magnitude calculations are rough estimates, so the exact number of significant figures is not important.

b) Not work primarily in the British system: The system of measurement does not matter in order-of-magnitude calculations. You can use any system that is convenient for the problem at hand.

c) Get results within a factor of 10, not 100: Order-of-magnitude calculations are meant to provide an estimate that is within a factor of 10 of the actual value.

d) Express a quantity to the power of 10 closest to the actual value: This is the definition of an order-of-magnitude calculation. For example, if the actual value is 300, you would express this as 10^2 (100) or 10^3 (1000), depending on the level of precision you need.

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