解:(1)969696×999999÷323232÷333333,
=(969696÷323232)×(999999÷333333),
=3×3,
=9;
(2)416×221÷17×34÷208,
=(416÷208)×211×(34÷17),
=2×211×2,
=844;
(3)99000÷25÷4,
=99000÷(25×4),
=99000÷100,
=990;
(4)40÷
×25,
=40×25×25,
=1000×25,
=25000;
(5)(31÷
)×(8÷1
),
=31×
×8×
,
=248;
(6)1÷(2÷3)÷(3÷4)÷(4÷5)÷(5÷6),
=1÷2×(3÷3)×(4÷4)×(5÷5)×6,
=l÷2×6,
=3;
(7)125×5.6,
=125×(8×0.7),
=125×8×0.7,
=1000×0.7,
=700;
(8)12.5×
×0.56,
=12.5×
×(8×0.07),
=(12.5×8)×(
×0.07),
=100×0.01,
=1.
分析:(1)(2)調(diào)整運(yùn)算順序,使計(jì)算簡便;
(3)運(yùn)用除法的性質(zhì)簡算;
(4)把除法改為乘法,再計(jì)算;
(5)把除法改為乘法,用倒數(shù)約分;
(6)運(yùn)用除法的性質(zhì)簡算;
(7)把5.6拆成8×0.7,運(yùn)用乘法分配律簡算;
(8)把0.56拆成8×0.07,運(yùn)用乘法發(fā)交換律與結(jié)合率簡算.
點(diǎn)評:仔細(xì)觀察,根據(jù)數(shù)字特點(diǎn),運(yùn)用運(yùn)算定律或運(yùn)算技巧,靈活解答.