解:(1)16.75-(6.75+3.15),
=16.75-6.75-3.15,
=10-3.15,
=6.85;
(2)(
+
×
)÷
,
=(
)
,
=
,
=
;
(3)25×1.25×32,
=(25×4)×(1.25×8),
=100×10,
=1000;
(4)(3.75+4.1+2.35)×9.8,
=10.2×9.8,
=99.96.
分析:(1)16.75-(6.75+3.15),運(yùn)用減法的運(yùn)算性質(zhì)進(jìn)行簡(jiǎn)算;
(2)(
+
×
)÷
,根據(jù)分?jǐn)?shù)四則混合運(yùn)算的運(yùn)算順序,按照分?jǐn)?shù)四則運(yùn)算的計(jì)算法則進(jìn)行簡(jiǎn)算;
(3)25×1.25×32,把32分解為4×8,運(yùn)用乘法交換律和結(jié)合律進(jìn)行簡(jiǎn)算;
(4)(3.75+4.1+2.35)×9.8,根據(jù)小數(shù)四則運(yùn)算的運(yùn)算定律,按照小數(shù)四則運(yùn)算的計(jì)算法則進(jìn)行簡(jiǎn)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,并且能夠靈活運(yùn)用運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算.