能簡算的要簡算:
19.28+1.82÷0.7
10.56×3.75-3.75×0.56 (71.2-71.2×0.9)÷0.25
14.53-(2.64+0.53)-1.36 13.5÷[(2-0.8)×4.5] [(6.1-4.6)÷0.8-1]÷0.4.
分析:(1)19.28+1.82÷0.7,按運(yùn)算順序進(jìn)行計(jì)算;
(2)10.56×3.75-3.75×0.56,運(yùn)用乘法分配律的逆運(yùn)算簡算;
(3)(71.2-71.2×0.9)÷0.25,括號里運(yùn)用乘法分配律的逆運(yùn)算簡算,把0.25改寫成分?jǐn)?shù)計(jì)算較簡單;
(4)14.53-(2.64+0.53)-1.36,先去括號運(yùn)用加法結(jié)合律簡算;
(5)(6)題,不能簡算,按運(yùn)算順序進(jìn)行;
解答:解:(1)19.28+1.82÷0.7,
=19.28+2.6,
=21.88;
(2)10.56×3.75-3.75×0.56,
=(10.56-0.56)×3.75,
=10×3.75,
=37.5;
(3)(71.2-71.2×0.9)÷0.25,
=(1-0.9)×71.2÷
1
4
,
=7.12×4,
=28.48;
(4)14.53-(2.64+0.53)-1.36,
=(14.53-0.53)-(2.64+1.36),
=14-4,
=10;
(5)13.5÷[(2-0.8)×4.5],
=13.5÷4.5÷1.2,
=3÷1.2,
=2.5;
(6)[(6.1-4.6)÷0.8-1]÷0.4,
=[1.5÷0.8-1]÷0.4,
=[1.875-1]÷0.4,
=0.875÷0.4,
=2.1875.
點(diǎn)評:此題考查了小數(shù)四則運(yùn)算的順序,以及運(yùn)用所學(xué)定律靈活簡算的能力.
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