A Quick Method for Cubing Numbers from 10 to 99

If I needed to cube a two digit number I would normally reach for my calculator ... even knowing what I am about to show you. However, I am sharing this skill with you (and showing you the theory behind it) in order to
► demonstrate a link between the theory of algebra and numbers,
► increase your understanding of number manipulation,
► help you see place notation used in a different way,
► demonstrate a use of Pascal's Triangle, and
► reinforce your understanding of cubic expansions.

Having said that, I still occasionally cube numbers in this way simply because I can, it is 'fun,' and it keeps my mind active. I commend it to you and suggest you practise it until you can use it with finesse! This is an opportunity to understand your algebra better, understand place notation more thoroughly, and practise using your knowledge of cubes up to nine cubed.

I hope you enjoy it.

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Best wishes for your study and your mathematics!