解:
(1)125×56,
=125×(7×8),
=(125×8)×7,
=1000×7,
=7000;
(2)(145+246)÷(41-18),
=391÷23,
=17;
(3)108×75-75×8,
=(108-8)×75,
=100×75,
=7500;
(4)894-168-232,
=894-(168+232),
=894-400,
=494;
(5)159-12×30÷60,
=159-360÷60,
=159-6,
=153;
(6)37×101,
=37×(100+1),
=37×100+37×1,
=3700+37,
=3737.
分析:(1)把56拆成7×8,再根據(jù)乘法交換律和結(jié)合律進(jìn)行簡算;
(2)先計(jì)算括號(hào)里加法和減法,再計(jì)算除法;
(3)直接根據(jù)乘法分配律進(jìn)行簡算;
(4)連續(xù)減去168與232,等于減去168與232的和;
(5)先計(jì)算乘法,再計(jì)算除法,最后計(jì)算減法;
(6)把101拆成100+1,再根據(jù)乘法分配律進(jìn)行簡算.
點(diǎn)評(píng):本題主要考查整數(shù)的混合運(yùn)算,根據(jù)運(yùn)算順序進(jìn)行計(jì)算,能簡算的要簡算.