解:(1)57.5-14.25-
,
=57.5-14.25-15.75,
=57.5-(14.25+15.75),
=57.5-30,
=27.5;
(2)
×102.31+
×102.31,
=(
+40
)×102.31,
=41×102.31,
=(40+1)×102.31,
=40×102.31+1×102.31,
=4092.4+102.31,
=4194.71;
(3)24×(
+
-
),
=24×
+24×
-24×
,
=6+16-4,
=22-4,
=18;
(4)
÷〔
×(
+
)〕,
=
÷[
×
],
=
÷
,
=
.
分析:(1)把題干中的分?jǐn)?shù)化為小數(shù),再運(yùn)用減法的性質(zhì)解答,
(2)(3)運(yùn)用乘法分配律解答,
(4)依據(jù)四則運(yùn)算計(jì)算方法,先算第二級(jí)運(yùn)算,再算第一級(jí)運(yùn)算,如果只含有同一級(jí)運(yùn)算,按照從左到右的順序計(jì)算,有括號(hào)先算括號(hào)里面的解答.
點(diǎn)評(píng):本題主要考查學(xué)生正確的選擇運(yùn)算方法和運(yùn)算定律、性質(zhì)進(jìn)行簡(jiǎn)算的能力.