解:(1)87.5-1.47+2.53,
=86.03+2.53,
=88.56;
(2)45+55÷5-20,
=45+11-20,
=56-20,
=36;
(3)102×68,
=(100+2)×68,
=100×68+2×68,
=6800+136,
=6936;
(4)25×64×125,
=(25×8)×(8×125),
=200×1000,
=200000;
(5)4500÷(150-40×3),
=4500÷(150-120),
=4500÷30,
=150;
(6)72×104-4×72,
=(104-4)×72,
=100×72,
=7200.
分析:(1)從左向右進(jìn)行計(jì)算即可;
(2)先算除法運(yùn)算,再從左向右進(jìn)行計(jì)算;
(3)把102化成100+2,再運(yùn)用乘法的分配律進(jìn)行簡算;
(4)把64化成8×8,再運(yùn)用乘法的結(jié)合律進(jìn)行簡算;
(5)先算小括號里的乘法運(yùn)算,再算小括號里的減法運(yùn)算,最后算括號外的除法運(yùn)算;
(6)運(yùn)用乘法的分配律進(jìn)行簡算.
點(diǎn)評:考查了整數(shù)四則混合運(yùn)算的順序,有括號的要先算括號里的運(yùn)算,能用運(yùn)算定律簡算的要簡算.