分析:①3.52÷2.5÷0.4,根据除法的运算性质简算;
②3.65×10.1,运用乘法分配律简算;
③15÷(0.15×0.4)根据除法的运算性质简算;
④1.97×99+1.97,运用乘法分配律简算;
⑤4.8×7.8-78×0.42,转化为:4.8×7.8-7.8×4.2,再运用乘法分配律简算;
⑥12.5×34+25×33,转化为:25×17+25×33,再运用乘法分配律简算.
解答:解:①3.52÷2.5÷0.4
=3.52÷(2.5×0.4)
=3.52÷1
=3.52;
②3.65×10.1
=3.65×10+3.65×0.1
=36.5+0.365
=36.865;
③15÷(0.15×0.4)
=15÷0.15÷0.4
=100÷0.4
=250;
④1.97×99+1.97
=1.97×(100+1)
=1.97×100
=197;
⑤4.8×7.8-78×0.42
=4.8×7.8-7.8×4.2
=(4.8-4.2)×7.8
=0.6×7.8
=4.68;
⑥12.5×34+25×33
=25×17+25×33
=25×(17+33)
=25×50
=1250.
点评:此题考查的目的是理解掌握小数四则混合运算的顺序以及它们的计算法则,并且能够灵活运用简便方法进行计算.