計算,能簡算的要寫出簡算過程.
32×2.5×12.5
0.65×24+77×65%-65%
40÷[14-(45-39)]
2.25×4.8+77.5×0.48.
解:(1)32×2.5×12.5,
=4×8×2.5×12.5,
=(4×2.5)×(12.5×8),
=10×100,
=1000;
(2)0.65×24+77×65%-65%,
=0.65×24+77×0.65-0.65,
=0.65×(24+77-1),
=0.65×100,
=65;
(3)40÷[14-(45-39)],
=40÷[14-6],
=40÷8,
=5;
(4)2.25×4.8+77.5×0.48,
=22.5×0.48+77.5×0.48,
=(22.5+77.5)×0.48,
=100×0.48,
=48.
分析:(1)把32看作4×8,運用乘法交換律與結(jié)合律簡算;
(2)把百分數(shù)化為小數(shù),運用乘法分配律簡算;
(3)先算小括號內(nèi)的,再算中括號內(nèi)的,最后算括號外的;
(4)根據(jù)數(shù)字特點,原式變?yōu)?2.5×0.48+77.5×0.48,運用乘法分配律簡算.
點評:考查了運算定律與簡便運算,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.