解:①
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=
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+
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,
=1+
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,
=1
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;
②
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=
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×
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×
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,
=
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;
③
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=
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÷[
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×
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],
=
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×
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,
=
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;
④3.4×5.9+5.9×5.6+5.9
=(3.4+5.6+1)×5.9,
=10×5.9,
=59;
⑤4.82×10.1
=4.82×(10+0.1),
=4.82×10+4.82×0.1,
=48.2+0.482,
=48.682;
⑥[4.8-0.24÷(5-4.76)]÷3.8
=[4.8-0.24÷0.24]÷3.8,
=[4.8-1]÷3.8,
=3.8÷3.8,
=1.
分析:①可根據(jù)一個(gè)數(shù)減兩個(gè)數(shù)的差,等于用這個(gè)數(shù)減去兩個(gè)數(shù)中的被減數(shù),加上減數(shù)的減法性質(zhì)計(jì)算;
②可通過(guò)約分進(jìn)行簡(jiǎn)算;
③⑥根據(jù)四則混合運(yùn)算的運(yùn)算順序計(jì)算:先算乘除,再算加減,有括號(hào)的要先算括號(hào)里面的;
④可根據(jù)乘法分配律計(jì)算;
⑤可將10.1拆分為10+0.1后根據(jù)乘法分配律計(jì)算.
點(diǎn)評(píng):完成有關(guān)于分?jǐn)?shù)的計(jì)算時(shí)要注意通分約分,完成有關(guān)于小數(shù)的計(jì)算時(shí)要注意小數(shù)點(diǎn)位置的變化.