①
÷[
×(
+
)]②(0.4+
)÷(
-0.75)×0.5③1.25+
×7.4+125%÷
④

⑤6.6-
÷(0.375×
+
×0.8)⑥
-2.125+(4.75-
)⑦
+[(1.5+
)÷3.75-
]÷
⑧
+
+
+…+
.解:①
÷[
×(
+
)],=
÷[
×
],=
÷
,=
;②(0.4+
)÷(
-0.75)×0.5,=
÷
×0.5,=
×0.5,=6.4;
③1.25+
×7.4+125%÷
,=1.25+1.25×7.4+1.25×1.6,
=1.25×(1+7.4+1.6),
=1.25×10,
=12.5;
④
,=
,=
,=1;
⑤6.6-
÷(0.375×
+
×0.8),=6.6-
÷(0.375×0.8+
×0.8),=6.6-
÷[(0.375+
)×0.8],=6.6-
÷[0.5×0.8],=6.6-
÷0.4,=6.6-4,
=2.6;
⑥
-2.125+(4.75-
),=5.25-2.125+4.75-3.375,
=(5.25+4.75)-(2.125+3.375),
=10-5.5,
=4.5;
⑦
+[(1.5+
)÷3.75-
]÷
,=
+[
÷3.75-
]÷
,=
+[
-
]÷
,=
+
÷
,=
+
,=1
;⑧
+
+
+…+
,=
×(1-
+
-
+
-
+…+
-
),=
×(1-
),=
×
,=
.分析:①先算加法,再算乘法,最后算除法;
②先算加法和减法,再算除法,最后算乘法;
③根据乘法分配律进行计算;
④把393939、899899、377377和939393分解质因数,然后再进行约分即可;
⑤根据此乘法分配律进行计算;
⑥根据加法交换律和结合律进行计算;
⑦先算小括号里面的加法,再算中括号里面的除法,再算中括号里面的减法,再算括号外面的除法,最后算括号外面的加法;
⑧根据分数的拆项进行计算.
点评:四则运算,先弄清运算顺序,然后再进一步计算,能简算的要简算.