1. e to One Hundred Decimal Places

e = 2.71828 18284 59045 23536 02874 71352 66249 77572 47093 69995 95749 66967 62772 40766 30353 54759 45713 82178 52516 64274

Source:

cited in Maor, E.,

2. Another representation of e, the base of natural logarithms, is as exponentiation involving only a few digits, namely:

This is due to Brewster, G.W. The Mathematical Gazette,

It was cited in Gaither, C. C. and Cavazos-Gaither, A. E.,

3. The online calculator at

http://www.math.com/students/calculators/source/square-root.htm

gives 1.638721270700128 for the sq root of e, and 1.280125490215755 for the sq root of sq root of e if you input this e approximation: 2.7182818284590452.

4. The fourth root of e, e^0.25, from a TI-81 hand calculator is about 1.284025417 .

5. In email to the NCTM-L mailing list Han Sah

If e

The "first 12 digits after the decimal point are 9's" (Sah, http://cq-pan.cqu.edu.au/schools/smad/mc_rc.html, accessed 10/31/03) but not the 13-th.

6. A word mnemonic for e follows.

Take the portrait of Andrew Jackson. There are two things about it. He was the seventh president of the United States. He was elected in 1828. He was installed in office in 1828. If you cut it on a diagonal you get a 45-90-45 triangle.

2.718281828459045 is accurate to a large number of digits (see 1.).

3/16/2009 Version |
http://www.cs.ucla.edu/~klinger/nmath/value_e.html | ||||||

©2009 Allen Klinger |