2009-03-18 19:01:09拜足

數字 撲朔迷您 7

A,B,C,D,E,F,G,H,I 為不同的數字,由19.

求 ABCD x EFGHI 的最大乘積。

 http://mypaper.pchome.com.tw/littleflea/post/1312364457

( 數字6 撲朔解:

Ans : 11 --- 1

Ans : 105263157894736842  --- 2

An : 1034482758620689655172413793 --- 3

Ans : 102564 --- 4

Ans : 1016949152542372881355932203389830508474576271186440674576271186440677966   -- 6

Ans : 1014492753623188405797 --- 7

Ans : 1012658227848 --- 8

Ans : 10112359550561797752808988764044943820224719--- 9 

 

N = 5 ,請自行求解。)

 

(*N = 5 ,102040816326530612244897959183673469387755 )

(**N = 2 , 105263157894736842 

 

  若尾數為3

                  157894736842105263 x 2 = 315789473684210526  )      

*** 

有某正整數,把尾巴的2,移到最前面,是原數的2倍

105263157894736842 x 2
= 210526315789473684

若尾數為3

157894736842105263 x 2 = 315789473684210526
= 105263157894736842 x 3

(*157894736842105263 是105263157894736842 把數字157894736842
移到最前面。)

若尾數為 4

210526315789473684 x 2 = 421052631578947368
= 105263157894736842 x 4

若尾數為 5,6,6,7,8,9

也竟然都是同樣奇妙!

105263157894736842 是個奇妙的數字! 

 

****奇妙!

2/19 = 0.105263157894736842...

3/19 = 0.157894736842105263...

4/19 = 0.210526315789473684...

5/19 = 0.263157894736842105