解:(1)0.25×0.8×4,
=0.25×4×0.8,
=1×0.8,
=0.8;
(2)10.5÷0.25÷4,
=10.5÷(0.25×4),
=10.5÷1,
=10.5;
(3)10.1×99-9.9,
=10.1×99-99×0.1,
=(10.1-0.1)×99,
=10×99,
=990;
(4)7.63×9.9+0.763,
=0.763×99+0.763,
=0.763×(99+1),
=0.763×100,
=76.3;
(5)9.6÷(9.6×4),
=9.6÷9.6÷4,
=1÷4,
=0.25;
(6)1.25×88,
=1.25×8×11,
=10×11,
=110;
(7)4×0.8×2.5×12.5,
=(4×2.5)×(0.8×12.5),
=10×10,
=100;
(8)16.15÷1.7+0.85÷1.7,
=(16.15+0.85)÷1.7,
=17÷1.7,
=10.
分析:(1)根据乘法交换律简便计算;
(2)(5)根据连除的简便方法计算即可;
(3)(4)(8)根据乘法分配律简便计算;
(6)先变形为1.25×8×11,再进行计算;
(7)根据乘法交换律及结合律简便计算.
点评:考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算律简便计算.