### Google Calculator Moments

This webpage started out as a collection of Google calculator moments experienced during the fall 2008 semester; however, these calculator moments have extended beyond 2008 and in a sense this webpage has become a blog of Google calculator moments.

Google calculator moments are listed in oldest-to-newest order...
`[jump to most recent posting]`

##### Google Calculator Moments From Fall 2008
```   Entered:  (5 - 2i) + (-3 + 4i)
Result:  (5 - (2 * i)) + ((-3) + (4 * i)) = 2 + 2 i
http://www.ucl.ac.uk/Mathematics/geomath/level2/complex/cn4c.html

Entered:  (-1)^(1/2)
Result:  (-1)^(1 / 2) = i

Entered:  i^2
Result:  i^2 = -1

Entered:  (-1)^(1/2) - sqrt(-1)
Result:  ((-1)^(1 / 2)) - sqrt(-1) = 0

Entered:  -1^(1/2)
Result:  -(1^(1 / 2)) = -1

Entered:  (5 + 2i) / (4 - 3i)
Result:  (5 + (2 * i)) / (4 - (3 * i)) = 0.56 + 0.92 i
http://www.jimloy.com/algebra/gprimes.htm

Entered:  1 long ton - 1 short ton to lb
Result:  (1 long ton) - (1 short ton) = 240 pounds
http://en.wikipedia.org/wiki/Ton

Entered:  1mi - 1km to mi
Result:  (1 mi) - (1 km) = 0.378628808 mi
http://earthquake.usgs.gov/eqcenter/recenteqsus/Quakes/nc51210962.php

Entered:  mi / yd
Result:  1 mi / yd = 1760
http://www.unitconversion.org/length/yards-to-miles-conversion.html

Entered:  71.43 ft per sec to mi per hr
Result:  71.43 (ft per sec) = 48.7022727 mi per hr
[The Civil Engineer's Pocket-book by John C. Trautwine, 1913]
http://www.onlineconversion.com/speed_common.htm

Entered:  50 mm per sec to inch per minute
Result:  50 (mm per sec) = 118.110236 inch per minute

Entered:  800 hp to kw
[does not compute; search web]

Entered:  800 hp to kilowatt
Result:  800 hp = 596.559897 kilowatts

Entered:  1 usd to isk
Result:  1 U.S. dollar = 239.635754 Iceland kronur
Rates provided for information only - see disclaimer.

Entered:  pi*e
Result:  pi * e = 8.53973422

Entered:  pi*e*phi
Result:  pi * e * the golden ratio = 13.8175802
http://demonstrations.wolfram.com/GraphsOfSuccessiveDigitsOfPiEAndPhi/

Entered:  1 decabooter to nanobooter
[does not compute; didn't even search the web]

Entered:  1 decaliter to nanoliter
Result:  1 decaliter = 10 000 000 000 nanoliter

Observe... Google's calculator does not support unary plus

Entered:  5 + -5
Result:  5 + (-5) = 0

Entered:  5 + +5
[does not compute; search web]
http://en.wikipedia.org/wiki/5_(number)
```
##### Updated::2008.12.17

The following was used while working in a nBAB for the number 90.

```   Entered:  90 degrees - pi / 2 radians
Result:  (90 degrees) - (pi / (2 radians)) = 0
```
##### Updated::2008.12.19

The modulo operator (`%`) was officially added to the BARS (Basic Arithmetic Road Signs) system.

```   Entered:  5 % 2 * 3
Result:  (5 mod 2) * 3 = 3

Entered:  7 mod 3
Result:  7 mod 3 = 1

Entered:  5 - 7 % 2
Result:  5 - (7 mod 2) = 4

Entered:  8 / (4 % 4)
[does not compute; search web]
```
##### Updated::2008.12.22

A winter solstice took place on 21 December 2008.

```   Entered:  23.44 degrees to radians
Result:  23.44 degrees = 0.409105177 radians
http://math.rice.edu/~pcmi/sphere/drg_txt.html
```
##### Updated::2009.01.11

MathBabbler learned from NumberGossip.com that "the number n is called an apocalyptic power if 2^n contains the consecutive digits 666 (in decimal)." While working on a nBAB for the number 1929, NumberGossip.com indicated that 1929 was an apocalyptic number and MathBabbler used Google to check if it was true.

```   Entered:  2^1929
[does not compute; search web]
```
##### Updated::2009.01.11

MathBabbler used the Google calculator while working on a BAB about the Grand Canyon National Monument turning 101.

```   Entered:  1 sq km to acre
Result:  1 (sq kilometer) = 247.105381 acre
[()s used to attach sq to kilometer and not the 1]
```
##### Updated::2009.02.03

MathBabbler used the Google calculator while working on an AlgeBAB about Cheerios reducing cholesterol four percent in six weeks.

```   Entered:  weeks per year
Result:  1 year = 52.177457 weeks
```
##### Updated::2009.02.08

MathBabbler made his 314th posting to his AzFoo@AzCentral.com posting. The 314th posting was about 314 mod 100 equally Pi (3.14) rounded to the nearest hundredth.

```   Entered:  314 degrees to radians
Result:  314 degrees = 5.48033385 radians
```
##### Updated::2009.02.22

GDT posted to his Nanotech Smallblog about Stanford University writing in the world's smallest letters -- 0.3 nanometers small.

```   Entered:  0.3 nanometers to picometers
Result:  0.3 nanometers = 300 picometers
[Nanometers and Picometers: Keys to Success with 5 Terabit/in2 Patterned Media]
```
##### Updated::2009.02.23

MathBabbler was working on a BAB about loan-to-value and debt-to-income ratios when it went to Google to search for "31%". 31% has been in the news because the goverment might make it easier for homeowners to refinance if their debt-to-income ratio exceeds 31%.

```   Entered:  31%
Result:  31% = 0.31

...followed by...

Entered:  31% of 55000
Result:  31% of 55000 = 17050
```
##### Updated::2009.03.26

MathBabbler uses a function named cuberoot(n) when doing BARS. Out of curiosity he checked to see if the Google calculator had a "cuberoot" function and it does and it is named "cube root(n)."

```   Entered:  (14 + 8) / sqrt(7^cuberoot(8))
Result:  Did you mean:  (14 + 8) / sqrt(7^cube root(8))
... clicked YES ...
Result:  (14 + 8) / sqrt(7^cube root(8)) = 3.14285714
```
##### Updated::2009.03.31

MathBabbler had the following Google calculator moment while working on a BAB about Amtrak.

```   Entered:  days per year
[does not compute; search web]

Entered:  1 year to days
Result:  1 year = 365.242199 days

Note:  MathBabbler executed the following back on 2009.02.03...

Entered:  weeks per year
Result:  1 year = 52.177457 weeks
```

MathBabbler was surprised that "weeks per year" worked, yet "days per year" didn't.

##### Updated::2009.04.06

MathBabbler went to NanoDay at the Arizona Museum of Natural History in Mesa on Sunday, 5 April 2009, and his height was measured to be 1.8 billion nanometers. Google was used to see how accurate the nano measurement was.

```   Entered:  1.8 * 10^9 nanometers - 5 ft 8.5 in to nanometers
Result:  (1.8 * (10^9) nanometers) - (5 ft 8.5 in) = 60 100 000 nanometers
```

The measurement was off by 60.1 million nanometers.

##### Updated::2009.04.09

During class MathBabbler used the Google calculator to see if we converted from scientific notation to integer. We converted 1.105 petaflops to 1.105 * 10^15 and wrote that value as an integer.

```   Entered:  1105000000000000 * 1
Result:  1 105 000 000 000 000 * 1 = 1.10500 x 10^15
```

We typed in a large number and multiplied by one because we knew Google's result would be presented in scientific notation.

##### Updated::2009.05.05

ScienceDaily.com headline on 4 May 2009: "Super-sensors To Discover What Happened In First Trillionth Of A Second After Big Bang."

```   Entered:  1 trillionth of 1 second to picosecond
Result:  (1 trillionth) of 1 second = 1 picosecond

Entered:  1 nanosecond to picosecond
Result:  1 nanosecond = 1000 picoseconds
```
##### Updated::2009.05.06

While using the Google calculator, MathBabbler entered an expression and the first hyperlink on results webpage generated by Google was to this "Google Calculator Moments" webpage.

```    Entered:  cube root(8 * 8)! * cube root(8)
Result:  (cube root(8 * 8) !) * cube root(8) = 48

Search Results
1. GDT::BAB::Google Calculator Moments
Entered: (14 + 8) / sqrt(7^cuberoot(8)) Result:
Did you mean: (14 + 8) / sqrt(7^cube root(8))
... clicked YES ...
Result: (14 + 8) / sqrt(7^cube root(8)) = ...
shell.deru.com/gdt/math/googcalc/ - 10k - Cached - Similar pages -
```
##### Updated::2009.05.08

Many times while using the Google calculator, MathBabbler uses 10^6, 10^9, 10^12, 10^15 for million, billion, trillion, quadrillion and so on. He tested the calculator to see if he could use the words rather than numbers.

```   Entered:  17 billion - 16.5 billion
Result:  17 billion - 16.5 billion = five hundred million

Entered:  17B - 16.5B
[does not compute; search web]
```
##### Updated::2009.05.13

The following are a result of MathBabbler wanting to learn more about the Google calculator's knowledge of large number names.

```   Entered:  1 billion - 999 million
Result:  1 billion - 999 million = one million

Entered:  1 sextillion - 999 quintillion
Result:  1 sextillion - 999 quintillion = 1.0 x 10^18

Entered:  1 * 1 septillion
Result:  1 * 1 septillion = 1.0 x 10^24

Entered:  1 * 1 octillion
Result:  1 * 1 octillion = 1.0 x 10^27

...

Entered:  1 * 1 duodecillion
Result:  1 * 1 duodecillion = 1.0 x 10^39

...

Entered:  1 * 1 quattuordecillion
Result:  1 * 1 quattuordecillion = 1.0 x 10^45

...

Entered:  1 * 1 sexdecillion
Result:  1 * 1 sexdecillion = 1.0 x 10^51

...

Entered:  1 * 1 vigintillion
Result:  1 * 1 vigintillion = 1.0 x 10^63

Entered:  1 * 1 unvigintillion
[did not compute; searched the web]
[unvigintillion = 10^66]

Entered:  1 * 1 googol
Result:  1 * 1 googol = 1.0 x 10^100
[note:  1st hyperlink to abc.net, not google.com]
```

Note: When it comes to names for large numbers there are American names and there are European names. For example, the American name sextillion has the European name trilliard.

##### Updated::2009.05.27

Spire Corp. received a patent entitled "Nanophotovoltaic Devices" that for "nanophotovoltaic devices formed from silicon or gallium arsenide having sizes in a range of about 50 nanometers to about 5 microns, and method of their fabrication."

```   Entered:  1 micron to nm
Result:  1 micron = 1000 nanometers
```

Note: The term micron is short for micrometer. The abbreviation mm is used for millimeter. The abbreviation µm is used for micrometer, but the µ doesn't have a key on the keyboard.

##### Updated::2009.08.31

MathBabbler used Google to check if 8/31/09 written as a BAD (Basic Arithmetic Date) was correct.

```   Entered: sqrt(31 % 9) - cube root(8)
Result: sqrt(31 % 9) - cube root(8) = 0
```

The first hyperlink on the results webpage was to this webpage; i.e., GDT::BAB::Google Calculator Moments.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 25 November 2008 