計算下面各題.(能簡算的用簡便算法)
①12.36-6.49-3.51
②8.5×3.8+8.5×6.2
③0.2÷2.5×(4.2-1.075)
④[3.2-3.2×(30.4-29.85)]÷1.8.
解:①12.36-6.49-3.51,
=12.36-(6.49+3.51),
=12.36-10,
=11.36;
②8.5×3.8+8.5×6.2,
=8.5×(3.8+6.2),
=8.5×10,
=85;
③0.2÷2.5×(4.2-1.075),
=0.2÷2.5×3.125,
=0.08×(3+0.125),
=0.08×3+0.08×0.125,
=0.24+0.01,
=0.25;
④[3.2-3.2×(30.4-29.85)]÷1.8,
=[3.2-3.2×0.55]÷1.8,
=[3.2-1.76]÷1.8,
=1.44÷1.8,
=0.8.
分析:①根據(jù)減法的性質(zhì)簡算;
②運用乘法分配律簡算;
③先算小括號里面的減法,再算括號外的除法,然后運用乘法分配律簡算;
④先算小括號里面的減法,再算中括號里面的乘法,然后算中括號里面的減法,最后算括號外的除法.
點評:此題是考查四則混合運算,要仔細(xì)觀察算式的特點,靈活運用一些定律進(jìn)行簡便計算.