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Flexural strength

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Orders of magnitude

mathskit

Estimation and approximation

Last issue’s Mathskit touched on the concept of estimation as an introduction to precision and significant figures. The number of significant figures gives us an indication of the exactness of our answer. But non-exact answers also have their uses, particularly where the alternative is just a guess

There are many occasions where we do not need an exact answer. Sometimes an order of magnitude calculation will do. This can be especially useful if you have made a complicated calculation using a calculator and you are worried that you might have made a power of ten error, for example.

I can only justify giving my answer to 1 sf because I have rounded the data to 1 sf in my approximation. If I do the same calculation on my calculator I obtain 67 kg. My data are given to 3 sf (for T) and 2 sf (for k). When writing down the result from the calculator, I choose the smaller number (2) and quote my answer to this number of significant figures.

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Previous

Flexural strength

Next

Orders of magnitude

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