脫式計(jì)算:(能簡(jiǎn)算的要簡(jiǎn)算)
①2.4×1.5+3.6÷1.5
②0.32×0.25+0.08÷4
③7.38-5.14+3.62-2.86
④5.4÷[0.51÷(1.2-1.03)].
解:①2.4×1.5+3.6÷1.5,
=3.6+2.4,
=6;
②0.32×0.25+0.08÷4,
=0.8×(0.4×0.25)+0.08÷4,
=0.8×0.1+0.02,
=0.08+0.02,
=0.1;
③7.38-5.14+3.62-2.86,
=(7.38+3.62)-(5.14+2.86),
=11-8,
=3;
④5.4÷[0.51÷(1.2-1.03)],
=5.4÷[0.51÷0.17],
=5.4÷3,
=1.8.
分析:①同時(shí)運(yùn)算乘法和除法,再算加法;
②把0.32分解成0.8×0.4,再運(yùn)用乘法結(jié)合律簡(jiǎn)算;
③運(yùn)用加法結(jié)合律,以及連續(xù)減去兩個(gè)數(shù)等于減去這兩個(gè)數(shù)的和簡(jiǎn)算;
④先算小括號(hào)里面的減法,再算中括號(hào)里面的除法,最后算括號(hào)外的除法.
點(diǎn)評(píng):此題是考查了小數(shù)的四則混合運(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.