解:(1)17690÷58×89-6759,
=305×89-6759,
27145-6759,
=20386;
(2)7.35+2.65×(3.9-7.632÷2.4),
=7.35+2.65×(3.9-3.18),
=7.35+2.65×0.72,
=7.35+1.908,
=9.258;
(3)36
-8.325+21
-1
,
=(36
+21
)-(8.325+1
),
=(36
+21
)-(8.325+1.675),
=57
-10,
=47
;
(4)27
×60+9
×96,
=(27+
)×60+(9+
)×96,
=1620+32+864+45,
=2561.
分析:(1)先算除法和乘法,再算減法;
(2)先算括號內(nèi)的除法,再算括號內(nèi)的減法,然后算括號外的乘法,最后算加法;
(3)運(yùn)用加法交換律與結(jié)合律簡算;
(4)把每個(gè)分?jǐn)?shù)拆成“整數(shù)+分?jǐn)?shù)”的形式,然后運(yùn)用乘法分配律簡算.
點(diǎn)評:此題考查了整數(shù)、小數(shù)、分?jǐn)?shù)的四則混合運(yùn)算,注意運(yùn)算順序和運(yùn)算法則,靈活運(yùn)用所學(xué)的運(yùn)算律簡便計(jì)算.