解:
(1)19.8×0.54÷0.081,
=10.692÷0.081,
=132;
(2)0.25×32×1.25,
=0.25×(4×8)×1.25,
=(0.25×4)×(1.25×8),
=1×10,
=10;
(3)1.89÷0.54-7.1÷2.5,
=3.5-2.84,
=0.66;
(4)0.25×26×40,
=0.25×40×26,
=10×26,
=260;
(5)8.7×99,
=8.7×(100-1),
=8.7×100-8.7×1,
=870-8.7,
=861.3;
(6)3.14×7.9+31.4×0.21,
=3.14×7.9+3.14×2.1,
=3.14×(7.9+2.1),
=3.14×10,
=31.4.
分析:(1)按照從左向右的順序進(jìn)行計(jì)算;
(2)根據(jù)乘法交換律和結(jié)合律進(jìn)行簡(jiǎn)算;
(3)先算除法,再算減法;
(4)根據(jù)乘法交換律進(jìn)行簡(jiǎn)算;
(5)根據(jù)乘法分配律進(jìn)行簡(jiǎn)算;
(6)根據(jù)乘法分配律進(jìn)行簡(jiǎn)算.
點(diǎn)評(píng):考查了運(yùn)算定律與簡(jiǎn)便運(yùn)算,四則混合運(yùn)算.注意運(yùn)算順序和運(yùn)算法則,靈活運(yùn)用所學(xué)的運(yùn)算律簡(jiǎn)便計(jì)算.