BARS::8 Miles From Middlesex on US-Hwy2 in Vermont

These road and highway signs are in Vermont. [The picture of the signs were taken by the mother of one of MathBabbler's MAT122 students during the fall 2008 semester.]

The road and highway signs say...

   +----------------------+
   | <- Middlesex         |
   | <- Moretown        8 |
   | <- Waitsfield     14 |
   | <- Warren         20 |
   | Waterbury         -> |
   +----------------------+
   +----------+ +------------+ +----------+
   |   EAST   | | To Vermont | |   WEST   |
   | US Hwy-2 | | VT Hwy-100 | | US Hwy-2 |
   +----------+ +------------+ +----------+
   the numbers are:  8  14  20  2  100   2

   the math is:  2 * (8 * 2 + 14 + 20) = 100

   more math:  (14 - (2 * 100) / 20) * 2 = 8

   more math:  20 - 14 + 8 - 2 - 2 = sqrt(100)

   more math:  (8 + 14 - 20 + 2) / 2 = log(100)

   more math:  sqrt(100 / 2 / 2)! / 20 + 8 = 14
   
   rsAgeEval:  100 - ((20 - 14) * 8) - 2 / 2 = 51
   * MathBabbler was 51 years young when he was given this sign.

   rsPiEval:  14 / 100 + sqrt(8 / 2 + 10 / 2) ~= Pi
   * 3.14 is Pi rounded to the nearest hundredth.

   rsPiEval:  (log(sqrt(100)) * (20 + 2)) / (14 / 2) ~= Pi
   * 22/7 approximates Pi (3.14) rounded to nearest hundredth

   rsPiEval:  (14 + sqrt(8^2)) / ((100 / 20) + 2) ~= Pi
   * 22/7 approximates Pi (3.14) rounded to nearest hundredth

The prime numbered US Hwy-2 highway signs and the square numbered VT Hwy-100 highway sign were added to MathBabbler's collection of Prime Number and Square Number Highway Signs.

Observe... The VT Hwy-100 sign has a B after the 100. If we let B stand for binary (base-2) and use the highway signs only, then the following is true.

   100base-2 = 2 + 2
Update::2009.01.23 -- Exercises
  1. [solve for 'n']    2 * (8 * n + 14 + 20) = 100
  2. [evaluate]    100 / 2 / 2 - 20 + 14 - 8
  3. [evaluate (record answer as a fraction)]    14 / 100 + sqrt(8 / 2 + 10 / 2) = _____/_____
Update::2010.04.02

This BARS was updated because it was selected to be a BARS Of The Week for week #11 of the spring 2010 semester.

   the numbers are:  8  14  20  2  100   2

   rsPiEval:  (20 * 2 + 8 / 2) / (14 * log(sqrt(100)) = Pi
   * 44/14 approximates Pi (3.14) rounded to nearest hundredth

   rsPiEval:  sqrt(100 * 2) - (20 - 14 / 2 - cuberoot(8)) = 3.14214
   * 3.14214 rounded to nearest hundredth = Pi rounded to nearest hundredth

   rsStateEval:  100 / 2 - 14 - 20 - 8 * 2 = 14
   * Vermont was the 14th state admitted to the Union.

   rsAgeEval:  100 / 2 - 14 + 20 - 8 / 2 = 52
   * MathBabbler was 52 years young when he found this equation.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 29 October 2008 [BARS #503]

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This work is licensed under a Creative Commons Attribution 3.0 United States License.