### 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] 