可以巧算的題目但唔知點計

2009-06-04 3:22 am
100+99-98-97+96+95-94-93+92+91-90-89+88+87-86-85............
+8+7-6-5+4+3-2-1=?

+2次-2次
更新1:

我唔止要answer,仲要巧算方法

回答 (3)

2009-06-04 9:45 am
✔ 最佳答案
100+99-98-97+96+95-94-93+92+91-90-89+88+87-86-85............
+8+7-6-5+4+3-2-1=

100 + (99-98-97+96) + (95-94-93+92) +... + (7-6-5+4) + (3-2-1)
=100 + 0 +0 +... + 0 +0
=100
2009-06-04 9:33 pm
100+99-98-97+96+95-94-93+92+91-90-89+88+87-86-85...+8+7-6-5+4+3-2-1
= (100-98) + (96-94) + ... + (4-2) + (共25項)
(99-97) + (95-93) + ... + (3-1) (共25項)
= 2 x (25 + 25)
=100
2009-06-04 3:33 am
There are 25 sets of numbers which are similar to (4+3-2-1)
Therefore :

(100 / 4) x (4+3-2-1)
= 100

2009-06-04 13:07:26 補充:
將 100 個數分成 25 份 , 每一份等於 4。
咁 25 x 4 咪等於 100 囉。
參考: Myself


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