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Evaluate the following without using a calculator.

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If you are unsure of how to do a question, click on Reveal answers to see the full working. Then, once you understand how to do the question, click on Try another question like this one to start again.

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Suppose you are asked to calculate something and the units of the answer are given as {units[0]}/{units[1]}. The units given suggest you should take the amount of [[0]] and [[1]] the amount of [[2]].

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\"{units[0]}/{units[1]}\" is often read as \"{units[0]} per {units[1]}\" but it is important to realise that the slash is actually the division symbol! It is telling you that you should take the {units[0]} and divide by the amount of {units[1]}. Note that, $\\displaystyle \\var{units[0]}/\\var{units[1]}=\\frac{\\var{units[0]}}{\\var{units[1]}}$.

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