Transcript Mathematics Magic and Mystery

Mathematics Magic and
Mystery
Written for Upward Bound
The Cyclic Number
142857
Multiply this number by any of the digits 2 - 6
142857
142857
142857
x
2
x
3
x
4
142857
142857
x
5
x
6
equals
equals
equals
285714
428571
571428
equals
equals
714285
857142
In Fact, Let’s Extend this to all digits
142857
142857
x
1
x
2
142857
142857
142857
x
3
x
4
x
5
142857
142857
142857
142857
x
6
x
7
x
8
x
9
equals
equals
142857
285714
equals
equals
equals
428571
571428
714285
equals
equals
equals
equals
857142
999999
1142856
1285713
Try Other variations
758241
x
1
equals
758241
x
2
equals
1516482
758241
x
3
equals
2274723
758241
x
4
equals
3032964
758241
x
5
equals
3791205
758241
x
6
equals
4549446
758241
x
7
equals
5307687
758241
x
8
equals
6065928
758241
x
9
equals
6824169
758241
23691
23691
x
1
x
2
23691
23691
23691
x
3
x
4
x
5
23691
23691
23691
23691
x
6
x
7
x
8
x
9
equals
equals
23691
47382
equals
equals
equals
71073
94764
118455
equals
equals
equals
equals
142146
165837
189528
213219
2857
x
1
equals
2857
2857
x
2
equals
5714
2857
x
3
equals
8571
2857
x
4
equals
11428
2857
x
5
equals
14285
2857
x
6
equals
17142
2857
x
7
equals
19999
2857
x
8
equals
22856
2857
x
9
equals
25713
MAGICAL ADDITION
6983
3016
2496
7503
7352
27350
27350
audience
responder
audience
responder
audience
responder
excel
The Magical Addition of Nines Trick
6983
3016
2496
7503
7352
27350
27350
audience
responder
audience
responder
audience
responder
excel
Do you see the
trick?
Think “Nines”
Googleplex
• The name Googleplex is a play on words,
being a combination of the words Google
and complex, the name given to the large
number . (From Wikipedia, the free encyclopedia)
10100
10
Googleplex is also the abbreviated name of a very powerful
computer in The Hitchhiker's Guide to the Galaxy, a novel by
Douglas Adams. Adams mentions it in chapter 25:
“‘...And are you not,’ said Fook leaning anxiously forward, ‘a
greater analyst than the Googleplex Star Thinker in the Seventh
Galaxy of Light and Ingenuity which can calculate the trajectory
of every single dust particle throughout a five-week Dangrabad
Beta sand blizzard?...’”
Googleplex is also the name of the first astroid power-up!
album.
Googleplex appears in a simpson's episode, when Lisa and
Bart were escaping from the other kids trying to take pictures of
them, and found Homer eating garbage. They run and enter in a
back door of the Googleplex theaters
Fibonacci Series
A Basic Program to Calculate Fibonacci Numbers
Try a Larger Number
It Still Works!
Try This One on Your Calculator
• Take a number, let’s try 697
• Write down the same number next to it
(you get 697,697)
• Divide that by 7
• Divide that by 11
• Divide that by 13
• What do you get?
Try this on your own in GW Basic
Try other numbers on your own!