解:(1)2.5×12.5×32
=(2.5×4)×(12.5×8),
=10×100,
=1000;
(2)6.4÷2.5÷0.4
=6.4÷(2.5×0.4),
=6.4÷1,
=6.4;
(3)5.4×0.36+0.64×5.4
=5.4×(0.36+0.64),
=5.4×1,
=5.4;
(4)9÷0.75+9÷0.25
=12+36,
=48;
(5)17.2-0.71-0.29
=17.2-(0.71+0.29),
=17.2-1,
=16.2;
(6)8.6+1.4÷2.5
=8.6+0.56,
=9.16.
分析:(1)可將32拆分為4×8后,根據(jù)乘法交換律及結(jié)合律計(jì)算;
(2)可根據(jù)一個(gè)數(shù)除以兩個(gè)數(shù),等于除以這兩個(gè)數(shù)的積的除法性質(zhì)計(jì)算;
(3)可根據(jù)乘法分配律計(jì)算;
(4)先算除法再算加法;
(5)可根據(jù)一個(gè)數(shù)減兩個(gè)數(shù),等于用這個(gè)數(shù)減去這兩個(gè)數(shù)的和的減法性質(zhì)計(jì)算;
(6)先算除法,再算加法.
點(diǎn)評(píng):完成(4)時(shí),要注意此題不適用乘法分配律.