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Mathematics Magic and Mystery Written for Upward Bound.

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Presentation on theme: "Mathematics Magic and Mystery Written for Upward Bound."— Presentation transcript:

1 Mathematics Magic and Mystery Written for Upward Bound

2 The Cyclic Number 142857 Multiply this number by any of the digits 2 - 6 142857 x 2 equals285714 142857 x 3 equals428571 142857 x 4 equals571428 142857 x 5 equals714285 142857 x 6 equals857142

3 142857 x 1 equals142857 x 2 equals285714 142857 x 3 equals428571 142857 x 4 equals571428 142857 x 5 equals714285 142857 x 6 equals857142 142857 x 7 equals999999 142857 x 8 equals1142856 142857 x 9 equals1285713 In Fact, Let’s Extend this to all digits

4 Try Other variations 758241 x 1 equals758241 x 2 equals1516482 758241 x 3 equals2274723 758241 x 4 equals3032964 758241 x 5 equals3791205 758241 x 6 equals4549446 758241 x 7 equals5307687 758241 x 8 equals6065928 758241 x 9 equals6824169

5 23691 x 1 equals23691 x 2 equals47382 23691 x 3 equals71073 23691 x 4 equals94764 23691 x 5 equals118455 23691 x 6 equals142146 23691 x 7 equals165837 23691 x 8 equals189528 23691 x 9 equals213219

6 2857 x 1 equals2857 x 2 equals5714 2857 x 3 equals8571 2857 x 4 equals11428 2857 x 5 equals14285 2857 x 6 equals17142 2857 x 7 equals19999 2857 x 8 equals22856 2857 x 9 equals25713

7 MAGICAL ADDITION 6983 audience 3016 responder 2496 audience 7503 responder 7352 audience 27350 responder 27350 excel

8 6983 audience 3016 responder 2496 audience 7503 responder 7352 audience 27350 responder 27350 excel 6983 audience 3016 responder 2496 audience 7503 responder 7352 audience 27350 responder 27350 excel The Magical Addition of Nines Trick Do you see the trick? Think “Nines”

9 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)

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:The Hitchhiker's Guide to the Galaxy Douglas Adams “‘...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

11 Fibonacci Series

12 A Basic Program to Calculate Fibonacci Numbers

13 Try a Larger Number It Still Works!

14 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?

15 Try this on your own in GW Basic Try other numbers on your own!


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