解:(1)975-384÷16×25
=975-24×25,
=975-600,
=375;
(2)
÷(
+
)+1.65
=
÷(
+
)+1.65,
-
×
+1.65,
=
+1.65,
=0.25+1.65,
=1.9;
(3)5.25+3
-1.8+2
=5.25+3.8-1.8+2.75,
=5.25+2.75+(3.8-1.8),
=8+2,
=10;
(4)
×1.5-1.5×
=(
-
)×1.5,
=3×1.5,
=4.5;
(5)12.5×0.25×32
=12.5×0.25×8×4,
=(12.5×8)×(0.25×4),
=100×1,
=100;
(6)36×(
+
)÷2%
=[36×
+36×
]÷2%,
=[10+8]÷2%,
=18÷2%,
=900.
分析:算式(1)(2)根據(jù)四則混合運(yùn)算的運(yùn)算順序計(jì)算即可:先算乘除,再算加減,有括號的要先算括號里面的;
算式(3)可將式中分?jǐn)?shù)化為小數(shù)后,根據(jù)加法交換律及結(jié)合律進(jìn)行計(jì)算;
算式(4)(6)可根據(jù)乘法分配律進(jìn)行計(jì)算;
算式(5)可將式中32拆分為8×4后再根據(jù)乘法結(jié)合律計(jì)算.
點(diǎn)評:完成本題要細(xì)心分析式中數(shù)據(jù)的特點(diǎn)及內(nèi)在聯(lián)系,然后選用合適的方法進(jìn)行計(jì)算.