(1)55×66÷(11×11)
(2)40.2-4÷80×2.4
(3)3.5×[6.8-(1.6+3.6÷0.9)]÷84
(4)
×[
÷(
×
)](5)(
+
)÷(
÷4-
)解:(1)55×66÷(11×11),=55×66÷11÷11,
=55÷11×(66÷11),
=5×6,
=30;
(2)40.2-4÷80×2.4,
=40.2-0.05×2.4,
=40.2-0.12,
=40.08;
(3)3.5×[6.8-(1.6+3.6÷0.9)]÷84,
=3.5×[6.8-(1.6+4)]÷84,
=3.5×[6.8-5.6]÷84,
=3.5×1.2÷84,
=4.2÷84,
=0.05;
(4)
×[
÷(
×
)],=
×[
÷
],=
×[
×
],=
×
,=
;(5))(
+
)÷(
÷4-
),=
÷(
×
-
),=
÷(
-
),=
÷
,=
×10,=
.分析:(1)运用除法的性质简算;
(2)先算除法和乘法,再算减法;
(3)先算小括号内的除法,再算小括号内的加法,然后算中括号内的减法,最后算括号外的乘法和除法;
(4)先算小括号内的,再算中括号内的,最后算括号外的;
(5)两个括号同时计算,第二个括号先算除法,再算减法.
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.