解:(1)57.5-4.25-15.75,
=57.5-(4.25+15.75),
=57.5-20,
=37.5;
(2)(
)×8
,
=
8+
8
,
=
+(
),
=1
1,
=2
;
(3)4.5-(
1.5)
,
=4.5-1.5-(
),
=3-1,
=2;
(4)125×32,
=125×8×4,
=1000×4,
=4000;
(5)
×16.31-2.31÷
,
=
(16.31-2.31),
=
14,
=10;
(6)(
+
×
)÷
,
=(
+
)
,
=
,
=2
.
分析:(1)57.5-4.25-15.75,根據(jù)減法的運(yùn)算性質(zhì)進(jìn)行簡(jiǎn)算;
(2)(
)×8
,運(yùn)用乘法分配律進(jìn)行簡(jiǎn)算;
(3)4.5-(
1.5)
,運(yùn)用減法的運(yùn)算性質(zhì)進(jìn)行簡(jiǎn)算;
(4)125×32,運(yùn)用乘法結(jié)合律進(jìn)行簡(jiǎn)算;
(5)
×16.31-2.31÷
,把除數(shù)轉(zhuǎn)化為乘它的倒數(shù),再運(yùn)用乘法分配律進(jìn)行簡(jiǎn)算;
(6)(
+
×
)÷
,按照分?jǐn)?shù)四則混合運(yùn)算的運(yùn)算順序進(jìn)行計(jì)算.
點(diǎn)評(píng):此題主要考查小數(shù)、分?jǐn)?shù)四則混合運(yùn)算,要求學(xué)生牢固掌握運(yùn)算順序和計(jì)算法則,能夠靈活選擇簡(jiǎn)便方法計(jì)算.