(18+63)÷9
384×26÷13
222…2
2000個2
×
999…99
2000個9

999…99
100個9
×
999…99
99個9
分析:(1)(18+63)÷9=×
1
9
,由此利用乘法分配律即可解決問題;
(2)先計算26÷13=2,然后再用384×2即可解決問題;
(3)利用計算器,先分別計算出2×9、22×99、222×999、2222×9999…,以此推理出規(guī)律即可解答;
(4)利用計算器可以先計算出:99×9、999×99、9999×999…以此推理出規(guī)律即可解答;
解答:解:(1)(18+63)÷9,
=81×
1
9
,
=9;

(2)384×26÷13,
=384×(26÷13),
=384×2,
=768,

(3)2×9=18,
22×99=2178,
222×999=221778,
2222×9999=22217778,
22222×99999=2222177778,…,
222… 22
2000個2
×
999…99
2000個9
=
22…2177…78
1999個2         1999個7


(4)99×9=891,
999×99=98901,
9999×999=9989001,
99999×9999=999890001,…
999…99
100個9
×
999…99
99個9
=
99…98900…01
98個9                 98個0
;

故答案為:9;768;
22…2177…78
1999個2         1999個7
99…98900…01
98個9                 98個0
;
點評:此題考查了乘除法的簡便計算,對于特殊的、較大的數(shù)相乘,先推理出規(guī)律即可得出正確答案.
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