解:(1)7820-375-625,
=7820-(375+625),
=7820-1000,
=6820;
(2)25×33×4,
=25×4×33,
=100×33,
=3300;
(3)329+753+571+47,
=(329+571)+(47+753),
=900+800,
=1700;
(4)75+47×3,
=75+141,
=216;
(5)2500÷4÷25,
=2500÷(4×25),
=2500÷100,
=25;
(6)(16+24)×35÷70,
=40×35÷70,
=1400÷70,
=20;
(7)875+209+191-75,
=(875-75)+(209+191),
=800+400,
=1200;
(8)57×43+33×43,
=(57+33)×43,
=90×43,
=3870.
分析:(1)根據(jù)連續(xù)減去兩個(gè)數(shù)等于減去這兩個(gè)數(shù)的和簡算;
(2)運(yùn)用乘法交換律簡算;
(3)運(yùn)用加法結(jié)合律簡算;
(4)先算乘法,再算加法;
(5)根據(jù)連續(xù)除以兩個(gè)數(shù)等于除以這兩個(gè)數(shù)的積簡算;
(6)先算小括號里面的加法,再算括號外的乘法,最后算除法;
(7)運(yùn)用加法結(jié)合律簡算;
(8)運(yùn)用乘法分配律簡算.
點(diǎn)評:考查了運(yùn)算定律與簡便運(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)算律簡便計(jì)算.