解:(1)2005×
,
=(2004+1)×
,
=2004×
+
1,
=2003+
,
=2003
;
(2)(3-
+
)×5×7,
=(3-
+
)×35,
=35×3-35×
+35×
,
=105-7+10,
=98+10,
=108;
(3)999
+99
+9
+
,
=999
+99
+9
+
,
=(999
+
)+(99
+
)+(9
+
),
=1000+100+10,
=1110.
分析:算式(1)把2005拆成2004+1,然后運(yùn)用乘法的分配律進(jìn)行計(jì)算.
算式(2)先計(jì)算5與7的積,然后運(yùn)用乘法的分配律進(jìn)行計(jì)算,會(huì)更加簡(jiǎn)便.
算式(3)把
根據(jù)分?jǐn)?shù)的基本性質(zhì)轉(zhuǎn)化成分母是9的分?jǐn)?shù)是
,把
=
+
+
,再運(yùn)用加法的結(jié)合律、交換律進(jìn)行計(jì)算會(huì)更加簡(jiǎn)便.
點(diǎn)評(píng):本題主要考查乘法分配律的運(yùn)用及加法交換律、結(jié)合律的運(yùn)用情況,同時(shí)也考查了學(xué)生對(duì)數(shù)的拆分靈活運(yùn)用組合情況.