Rational Numbers

Consider the Natural Numbers 1 to 9 for a and b.  When written in the form of a/b, what values for b always produce an irrational number (unless a=b)?

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5 thoughts on “Rational Numbers

  1. Bad wording, thanks. Consider the Natural Numbers 1 to 9 for a and b. I overlooked the initial wording because irrational numbers can not be represented as a simple ratio or fraction. The most common answer I receive for this problem is 7 because it is the only denominator that doesn’t produce a repeating or terminating decimal on a calculator. This typically starts a great conversation for my students on Rational and Irrational numbers.

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