遞等式計算(能簡算的要簡算).
(1)2.5×0.8×0.4×12.5
(2)6.3×9.9
(3)3.93×9.8+0.2×3.93
(4)300-(2.03+6.1)×30
(5)(1-0.2)×(3-2.32)÷0.01
(6)8÷[(40.75-9.5)×0.4].
解:(1)2.5×0.8×0.4×12.5,
=(2.5×0.4)×(0.8×12.5),
=1×10,
=10;
(2)6.3×9.9,
=6.3×(10-0.1),
=6.3×10-6.3×0.1,
=63-0.63,
=62.37;
(3)3.93×9.8+0.2×3.93,
=3.93×(9.8+0.2),
=3.93×10,
=39.3;
(4)300-(2.03+6.1)×30,
=300-8.13×30,
=300-243.9,
=56.1;
(5)(1-0.2)×(3-2.32)÷0.01,
=0.8×0.68÷0.01,
=0.544÷0.01,
=54.4;
(6)8÷[(40.75-9.5)×0.4],
=8÷[31.25×0.4],
=8÷12.5,
=0.64.
分析:(1)運用乘法交換律與結(jié)合律簡算;
(2)把9.9看作10-0.21,運用乘法分配律簡算;
(3)運用乘法分配律簡算;
(4)先算括號內(nèi)的,再算括號外的乘法,最后算減法;
(5)從左往右依次運算;
(6)先算小括號內(nèi)的,再算中括號內(nèi)的,最后算括號外的.
點評:此題考查了小數(shù)的四則混合運算,注意運算順序和運算法則,靈活運用所學(xué)的運算律簡便計算.