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 hundredthThe 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.

100_{base-2}= 2 + 2## Update::2009.01.23 -- Exercises

`[solve for 'n']`

2 * (8 * n + 14 + 20) = 100`[evaluate]`

100 / 2 / 2 - 20 + 14 - 8`[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]

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