题目内容
你能巧算出下面各题吗?
(1)9+99+999+9999+99999+999999
(2)1+3+5+7+9+11+13+15+17+19.
(1)9+99+999+9999+99999+999999
(2)1+3+5+7+9+11+13+15+17+19.
(1)9+99+999+9999+99999+999999,
=(10-1)+(100-1)+(1000-1)+(10000-1)+(100000-1)+(1000000-1),
=1111110-6,
=1111104;
(2)1+3+5+7+9+11+13+15+17+19,
=(1+19)+(3+17)+(5+15)+(7+13)+(9+11),
=20+20+20+20+20+20,
=100.
=(10-1)+(100-1)+(1000-1)+(10000-1)+(100000-1)+(1000000-1),
=1111110-6,
=1111104;
(2)1+3+5+7+9+11+13+15+17+19,
=(1+19)+(3+17)+(5+15)+(7+13)+(9+11),
=20+20+20+20+20+20,
=100.
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