解:(1)3.7×99+3.7,
=3.7×(99+1),
=3.7×100,
=370;
(2)
×7.7+3.3×0.75-75%,
=0.75×7.7+3.3×0.75-0.75,
=0.75×(7.7+3.3-1),
=0.75×10,
=7.5;
(3)5.93+0.64+0.07+0.36,
=(5.93+0.07)+(0.64+0.36),
=6+1,
=7;
(4)(7.9-3.06÷0.68)×1.5,
=(7.9-4.5)×1.5,
=3.4×1.5,
=5.1;
(5)78÷2.5÷0.4,
=78÷(2.5×0.4),
=78÷1,
=78;
(6)105×(
+
),
=105×
+105×
,
=35+21,
=56.
分析:(1)(6)運(yùn)用乘法分配律簡(jiǎn)算;
(2)把分?jǐn)?shù)和百分?jǐn)?shù)化為小數(shù),運(yùn)用乘法分配律簡(jiǎn)算;
(3)運(yùn)用加法交換律與結(jié)合律簡(jiǎn)算;
(4)先算括號(hào)內(nèi)的除法,再算括號(hào)內(nèi)的減法,最后算括號(hào)外的乘法;
(5)運(yùn)用除法的性質(zhì)簡(jiǎn)算.
點(diǎn)評(píng):完成本題要注意分析式中數(shù)據(jù),運(yùn)用合適的簡(jiǎn)便方法計(jì)算.