分析:(1)運用乘法交換律簡算;
(2)把99分解成100-1,再運用乘法分配律簡算;
(3)先算除法,再算減法;
(4)先算乘法,再算減法,最后算加法;
(5)運用乘法分配律簡算;
(6)根據(jù)除法的性質(zhì)簡算;
(7)先除法,再從左到右計算;
(8)先把32分解成8×4,再運用乘法結合律簡算;
(9)運用加法交換了和結合律簡算.
解答:解:(1)25×36×4,
=25×4×36,
=100×36,
=3600;
(2)135×99,
=135×(100-1),
=135×100-135×1,
=13500-135,
=13365;
(3)203-135÷5,
=203-27,
=176;
(4)97-12×6+43,
=97-72+43,
=25+43,
=68;
(5)49×99+49,
=49×(99+1),
=49×100,
=4900;
(6)5620÷(562×5),
=5620÷562÷5,
=10÷5,
=2;
(7)175+25÷25+15,
=175+1+15,
=176+15,
=191;
(8)125×32×25,
=125×32×25,
=125×(8×4)×25,
=(125×8)×(4×25),
=1000×100,
=100000;
(9)37+125+63+175,
=(37+63)+(125+175),
=100+300,
=400.
點評:此題是考查四則混合運算,要仔細觀察算式的特點,靈活運用一些定律進行簡便計算.