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Substitute -1, -2 or -3, into an algebraic expression and you'll get three results. Is it possible to tell in advance which of those three will be the largest ?

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Age 14 to 16 Short Challenge Level:

If $p$ is a positive integer and $q$ is a negative integer, which of the following is the greatest?

$p-q$             $q-p$             $p+q$             $-p-q$
 

 

 

 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.