解:(1)36×5.76+0.36×424,
=36×5.76+36×4.24,
=(5.76+4.24)×36,
=10×36,
=360;
(2)7.05×37+64×7.05-7.05,
=(37+64-1)×7.05,
=100×7.05,
=705;
(3)248-52
![](http://thumb.zyjl.cn/pic5/latex/3662.png)
-22
![](http://thumb.zyjl.cn/pic5/latex/42997.png)
,
=248-(52
![](http://thumb.zyjl.cn/pic5/latex/3662.png)
+22
![](http://thumb.zyjl.cn/pic5/latex/42997.png)
),
=248-75,
=173;
(4)36×(
![](http://thumb.zyjl.cn/pic5/latex/450.png)
+
![](http://thumb.zyjl.cn/pic5/latex/4442.png)
-
![](http://thumb.zyjl.cn/pic5/latex/96.png)
),
=36×
![](http://thumb.zyjl.cn/pic5/latex/450.png)
+36×
![](http://thumb.zyjl.cn/pic5/latex/4442.png)
-36×
![](http://thumb.zyjl.cn/pic5/latex/96.png)
,
=21+20-9,
=32;
(5)[1-(
![](http://thumb.zyjl.cn/pic5/latex/96.png)
+
![](http://thumb.zyjl.cn/pic5/latex/597.png)
)]÷
![](http://thumb.zyjl.cn/pic5/latex/112.png)
,
=[1-
![](http://thumb.zyjl.cn/pic5/latex/5192.png)
]÷
![](http://thumb.zyjl.cn/pic5/latex/112.png)
,
=
![](http://thumb.zyjl.cn/pic5/latex/597.png)
×8,
=3.
分析:(1)根據(jù)數(shù)字特點(diǎn),把原式變?yōu)?6×5.76+36×4.24,運(yùn)用乘法分配律的逆運(yùn)算簡(jiǎn)算;
(2)把7.05看作7.05×1,運(yùn)用乘法分配律的逆運(yùn)算簡(jiǎn)算;
(3)運(yùn)用減法的性質(zhì)簡(jiǎn)算;
(4)運(yùn)用乘法分配簡(jiǎn)算簡(jiǎn)算;
(5)按運(yùn)算順序計(jì)算,先算小括號(hào)內(nèi)的,再算中括號(hào)內(nèi)的,最后算括號(hào)外的.
點(diǎn)評(píng):此題考查了小數(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)算定律進(jìn)行簡(jiǎn)便計(jì)算.