### BARS::I-8 East and West Arrows at Freeman Road in Arizona

These I-8 road signs are on Freeman Road in Arizona.

The I-8 road signs say...

```   +------------+ +------------+
|    West    | |    East    |
+------------+ +------------+
| Interstate | | Interstate |
|   Arizona  | |   Arizona  |
|      8     | |      8     |
+------------+ +------------+
|      ^     | |     -->    |
|      |     | |            |
+------------+ +------------+

This picture was taken looking North and the
East --> arrow is pointing in the correct direction.

Choose all, if any, that get the West arrow pointing west.

A:  rotate the west arrow 90° clockwise
B:  rotate the west arrow 270° clockwise
C:  rotate the west arrow 90° counter-clockwise
D:  rotate the west arrow 450° counter-clockwise
E:  rotate the west arrow as follows:
1) clockwise 180°
2) counter-clockwise 360°
3) clockwise 270°
```
##### Help

PixelPainter used the original image to create the following images.

##### Exercises
1. Yes or No. `8` is an odd number.

2. Yes or No. `8` is a composite number.

3. The prime factors for `8` are ________________.

4. `8 * 8` equals `82` equals `_______`.

5. An `8-sided polygon` is called a(n) `____________`.

6. Yes or No. `8` is a valid octal digit.

7. Yes or No. `8` in binary is `10002`.

8. The cube root of `8` is `2`.

##### About the Number 8 (Eight)

The following is from the Wikipedia.

```   The SI prefix for 10008 is yotta (Y),
and for its reciprocal yocto (y).
```

GDT::BAB::About the Number 8 (Eight)

##### Updated::2009.05.06

MathBabbler added rsStateEval to the BARS system on 3 May 2009.

```   the numbers are:  8  8

rsStateEval:  spf(8) * 8 = 48
* Arizona is the 48th state of the United States

observe...
spf(n) outputs the sum of the prime factors of n
spf(8) = 2 + 2 + 2 = 6

dup(8); the numbers become:  8  8  8

another rsStateEval:  cuberoot(8 * 8)! * cuberoot(8) = 48

more math:  sqrt(8 * 8) = 8

more math:  spf(8) + cuberoot(8) = 8

dup(8); the numbers become:  8  8  8  8

another rsStateEval:  8 * 8 - 8 - 8 = 48

dup(8); the numbers become:  8  8  8  8  8

another rsStateEval:  cuberoot(8) * 8  * cuberoot(8) + 8 + 8 = 48

more math:  8! / spf(8)! = spf(8) * 8 + 8

dup(8); the numbers become:  8  8  8  8  8  8

another rsStateEval:  8 + 8 + 8 + 8 + 8 + 8 = 48
```
##### Update::2013.11.25

rsCardinalityEval and the spd(n) function were added to the MBNA since this BARS was last updated.

```   the numbers are:  8  8

rsCardinalityEval:  sqrt(8 / cuberoot(8)) = 2
* There are two numbers used in the BARS.

rsCardinalityEval:  sqrt(cuberoot(8 * 8)) = 2
* There are two numbers used in the BARS.

rsCardinalityEval:  cuberoot(8! / spf(8)!) = 2
* There are two numbers used in the BARS.
* spd(n) = the sum of the proper divisors of n
domain: n must be a composite number
* spd(8) = 1+2+4 = 7

rsAgeEval:  8 * spd(8) = 56
* MathBabbler was 56 years young when he added this equation.
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 17 May 2005

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