解:(1)7.25-
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+3.75-
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,
=(7.25+3.75)-(
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+
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),
=11-1,
=10;
(2)2.6×35+64×
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+2.6,
=2.6×35+64×2.6+2.6,
=2.6×(35+64+1),
=2.6×100,
=260;
(3)9
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+99
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+999
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+
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×3,
=(9+99+999)+
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×3+
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×3,
=(10-1+100-1+1000-1)+(
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+
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)×3,
=1110-3+3,
=1110;
(4)87×
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,
=(86+1)×
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,
=86×
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+1×
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,
=3+
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,
=3
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.
分析:(1)運(yùn)用加法交換律與結(jié)合律以及減法的性質(zhì)簡(jiǎn)算;
(2)把分?jǐn)?shù)化為小數(shù),運(yùn)用乘法分配律簡(jiǎn)算;
(3)把帶分?jǐn)?shù)拆成“整數(shù)+分?jǐn)?shù)”的形式,原式變?yōu)椋?+99+999)+
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×3+
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×3,把9、99、999分別看作10-1,100-1,1000-1,運(yùn)用乘法分配律計(jì)算
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×3+
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×3;
(4)87×
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,把87看作86+1,運(yùn)用乘法分配律簡(jiǎn)算.
點(diǎn)評(píng):此題是考查四則混合運(yùn)算,要仔細(xì)觀察算式的特點(diǎn),靈活運(yùn)用一些定律進(jìn)行簡(jiǎn)便計(jì)算.