It’s hard to believe that it was not until 1844 that transcendental numbers were known to exist! But first, a few definitions.

A*rational number*is one that can written as*a*/*b*, where*a*and*b*are integers. In decimal form, rational numbers either terminate (1/4 = .25) or they have a pattern of consecutive digits that repeat endlessly (1/7 = .142857 142857 142857 …).

An*irrational number*is one that cannot be expressed as*a*/*b*where*a*and*b*are integers. In decimal form, it never ends, and it has no pattern of consecutive digits that keep repeating.

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EP - 38 ET - 1 PB - Mathematical Association of America PY - 2012 SN - null SP - 37 T2 - Martin Gardner in the Twenty-First Century UR - http://www.jstor.org/stable/10.4169/j.ctt13x0ng0.9 Y2 - 2020/09/30/ ER -