题目内容

(2008?海口模拟)脱式计算.
①2700×(506-499)÷900;               
②33.02-(148.4-90.85)÷2.5;
③(1÷
2
7
+
2
7
÷1)÷5.1;                  
④(1.6×
5
8
+3.6÷
3
4
)×
4
29
分析:算式①可据乘法交换律进行简便计算;
算式②③④据四则混合运算法则计算即可:先算乘除,再算加减,有括号的要先算括号里面的.
解答:解:①2700×(506-499)÷900
=2700÷900×7,
=3×7,
=21;

②33.02-(148.4-90.85)÷2.5
=33.02-57.55÷2.5,
=33.02-23.02,
=10;

③(1÷
2
7
+
2
7
÷1)÷5.1
=(
7
2
+
2
7
)×
10
51

=
53
14
×
10
51

=
265
357

④(1.6×
5
8
+3.6÷
3
4
)×
4
29

=(
8
5
×
5
8
+
18
5
×
4
3
)×
4
29

=(1+
24
5
)×
4
29

=
29
5
×
4
29

=
4
5
点评:在完成同时含有分数与小数的算式时,要根据式中数据的特点灵活的将小数化为分数或将分数化为小数后再进行计算.
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