解:(1)5÷(7÷11)÷(11÷16)÷(16÷35),
=5÷
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÷
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÷
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,
=5×
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×
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×
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,
=25;
(2)28.67×67+3
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×286.7+573.4×
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;
=28.67×67+3.2×286.7+573.4×0.05,
=28.67×67+32×28.67+28.67,
=(67+32+1)×28.67,
=100×28.67,
=2867;
(3)10×(4
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+2
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)-1÷12.5%,
=10×(4.4+2.5)-1÷
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,
=10×6.9-1×
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,
=69-8,
=61;
(4)
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,
=
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,
=
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.
分析:(1)把括號(hào)內(nèi)的除法寫成分?jǐn)?shù)的形式,原式變?yōu)?÷
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÷
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÷
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,然后把除法改為乘法,約分即可;
(2)把分?jǐn)?shù)化為小數(shù),并根據(jù)積不變的規(guī)律,原式變?yōu)?8.67×67+32×28.67+28.67,運(yùn)用乘法分配律簡(jiǎn)算;
(3)根據(jù)題目特點(diǎn),把分?jǐn)?shù)化為小數(shù),把百分?jǐn)?shù)化為分?jǐn)?shù),計(jì)算較為簡(jiǎn)便;
(4)根據(jù)數(shù)字特點(diǎn),分子部分拿出1991,分母拿出2002,分子與分母剩余部分相同,約分即可得出.
點(diǎn)評(píng):在做這類問(wèn)題時(shí),首先注意審題,根據(jù)題目特點(diǎn),運(yùn)用運(yùn)算定律或運(yùn)算技巧,化繁為簡(jiǎn),化難為易,進(jìn)行巧妙解答.