計(jì)算,能簡(jiǎn)算的要寫出簡(jiǎn)算過(guò)程.
①4×0.8×2.5×12.5
②0.65×14+87×65%-65%
③42÷[14-(50-39)]
④2.25×4.8+77.5×0.48.
解:①4×0.8×2.5×12.5,
=(4×2.5)×(0.8×12.5),
=10×10,
=100;
②0.65×14+87×65%-65%,
=0.65×14+87×0.65-0.65×1,
=0.65×(14+87-1),
=0.65×100,
=65;
③42÷[14-(50-39)],
=42÷[14-11],
=42÷3,
=14;
④2.25×4.8+77.5×0.48,
=2.25×4.8+7.75×4.8,
=(2.25+7.75)×4.8,
=10×4.8,
=48.
分析:①運(yùn)用乘法交換律、結(jié)合律簡(jiǎn)算;
②先把百分?jǐn)?shù)變成小數(shù),再運(yùn)用乘法分配律簡(jiǎn)算;
③先算小括號(hào)里面的減法,再算中括號(hào)里面的減法,最后算括號(hào)外的除法;
④先根據(jù)積不變規(guī)律把77.5×0.48變成7.75×4.8,然后再運(yùn)用乘法分配律簡(jiǎn)算.
點(diǎn)評(píng):此題主要考查小數(shù)的四則混合運(yùn)算的運(yùn)算順序和應(yīng)用運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算.