题目内容

计算(能简便要简便)
3
4
-
3
25
)×100           
2
7
×
17
11
+
2
11
×
5
7
           
1
13
+
1
26
+
1
52
+
1
104
+
1
208

12×(
5
6
-
1
26
)×52       
8
9
÷〔(
2
5
+
1
10
)×10〕2015
2015
2016
÷2015
3
20
×132×
10
11
            (
1
69
+
2
71
)×23+
25
71
         
7
25
÷[(
3
4
-
2
5
)×
2
5
].
考点:整数、分数、小数、百分数四则混合运算,运算定律与简便运算
专题:运算顺序及法则,运算定律及简算
分析:(1)(2)(4)(5)(6)(8)运用乘法分配律解答,
(3)化
1
26
=
1
13
-
1
26
1
52
=
1
26
-
1
52
1
104
=
1
52
-
1
104
1
208
=
1
104
-
1
208
,再运用加法结合律解答,
(7)运用乘法结合律解答.
解答: 解:(1)(
3
4
-
3
25
)×100
=
3
4
×100-
3
25
×100
=75-12
=63;

(2)
2
7
×
17
11
+
2
11
×
5
7
   
=
2
7
×(
17
11
+
5
11

=
2
7
×2
=
4
7


(3)
1
13
+
1
26
+
1
52
+
1
104
+
1
208

=
1
13
+
1
13
-
1
26
+
1
26
-
1
52
+
1
52
-
1
104
+
1
104
-
1
208

=
1
13
+
1
13
-
1
208

=
2
13
-
1
208

=
403
2704


(4)12×(
5
6
-
1
26
)×52
=12×
5
6
×52-12×
1
26
×52
=520-24
=496;

(5)
8
9
÷[(
2
5
+
1
10
)×10]
=
8
9
÷[
2
5
×10+
1
10
×10]
=
8
9
÷[4+1]
=
8
9
÷5
=
8
45


(6)2015
2015
2016
÷2015
=2015×
1
2015
+
2015
2016
×
1
2015

=1+
1
2016

=1
1
2016


(7)
3
20
×132×
10
11
 
=
3
20
×(132×
10
11

=
3
20
×120
=18;

(8)(
1
69
+
2
71
)×23+
25
71
   
=
1
69
×23+
2
71
×23+
25
71
   
=
1
3
+(
46
71
+
25
71

=
1
3
+1
=1
1
3


(9)
7
25
÷[(
3
4
-
2
5
)×
2
5
]
=
7
25
÷[
7
20
×
2
5
]
=
7
25
÷
7
50

=2.
点评:依据四则运算计算方法正确进行计算,以及正确运用简便方法解决问题,是本题考查知识点.
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