BARS::Westbound I-10 in East Phoenix, Arizona

GDT went to ASU West for a meeting. While driving west on I-10 he encountered a road sign that he tought contained math. He didn't get a picture of the road sign. Upon returning home, he tried to recall what the road sign said and based upon his recollection he found math.

GDT thought the road sign said...

   +--------------------------+
   | 40th Street          1/4 |
   | 32nd Street        1 1/4 |
   | 24th Street        3 1/4 |
   +--------------------------+

   the numbers are:  40  32   24   (1/4)   (1 1/4)   (3 1/4)

   the math is:  40 / (32 - 24) =  1 1/4 + 3 1/4 + sqrt(1/4)

   observe...
      32 - 24 = 8
      40 / 8 = 5
      sqrt(1/4) = 1/2
      1 1/4 + 3 1/4 = 4 1/2
      sqrt(1/4) = 1/2
      4 1/2 + 1/2 = 5

On the next day, GDT went back on I-10 to get a picture of this road sign. Upon getting to the road sign he realized that he had incorrectly recalled what the road sign said. On the previous day, he quickly observed that 40 divided by the quantity 32 minus 24 was equal to 5. He got excited because he erroneously calculated that 1 plus 1 3/4 plus 3 1/4 was 5; consequently, GDT had to try once again to find some math in this road sign.

   +-------------------------------+
   | 40th St                 1     |
   | University Dr/32nd St   1 3/4 |
   | 24th St                 3 1/4 |
   +-------------------------------+

   the numbers are:  40  32  24  1  (1 3/4)  (3 1/4)

   the math is: (40 + 24) / 32 = sqrt(1 3/4 + 3 1/4 - 1)

   observe...
      40 + 24 = 64
      64 / 32 = 2
      1 3/4 + 3 1/4 = 5
      5 - 1 = 4
      sqrt(4) = 2

   [exercise] Rewrite the equation...
              32 = ???some_expression???

   more math:  32 / sqrt(40 + 24) = 1 3/4 + 3 1/4 - 1 

   observe...
      40 + 24 = 64
      sqrt(64) = 8
      32 / 8 = 4

   [exercise] Rewrite the equation....
              1 = ???some_expression???
              
More... A Couple Videos

While driving to get a picture of this road sign, the Five Man Electrical Band's 1971 hit song "Signs" came on KCDX (103.1 FM). GDT turned the radio off upon arriving at this road sign.


Creator: Gerald D. Thurman [gthurman@gmail.com]
Created: 02 March 2007

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This work is licensed under a Creative Commons License.