解:(1)0.25×4.78×4,
=(0.25×4)×4.78,
=1×4.78,
=4.78;
(2)0.65×201,
=0.65×(200+1),
=0.65×100+0.65×1,
=130+0.65,
=130.65;
(3)1.2×2.5+0.8×2.5,
=(1.2+0.8)×2.5,
=2×2.5,
=5;
(4)4.8×0.25,
=1.2×4×0.25,
=1.2×(4×0.25),
=1.2×1,
=1.2;
(5)6.53÷0.4÷2.5,
=6.53÷(0.4×2.5),
=6.53÷1,
=6.53;
(6)1.8×20.1,
=1.8×(20+0.1),
=1.8×20+1.8×0.1,
=36+0.18,
=36.18.
分析:(1)运用乘法的交换律、结合律进行简算;
(2)把201化成200+1,再运用乘法的分配律进行简算;
(3)运用乘法的分配律进行简算;
(4)把4.8化成1.2×4,再运用乘法的分配律进行简算;
(5)运用乘法的运算定律进行简算;
(6)把20.1化成20+0.1,再运用乘法的分配律进行简算.
点评:此题考查了小数四则混合运算的顺序,灵活运用运算定律进行简算.