mathblag

Musings on mathematics and teaching.

Month: January, 2011

Cubes with non-decreasing digits

Let us say that a number has non-decreasing digits if each decimal digit is greater than or equal to the previous digit. It is not hard to show that there are infinitely many squares that have non-decreasing digits, but are there infinitely many cubes with that property?

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Some misunderstandings about order of operations

In this article, I will describe some misunderstandings about order of operations, and suggest a better way of thinking about the topic. Please add your ideas in the comments.

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