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17
25
÷
4
3
+
8
25
÷
4
3
   
15
7
+
9
8
×
5
9
+
3
8
11
4
-
4
7
÷
5
7
÷
3
2
  
[2-(
8
5
+
1
3
)]×
15
4
5
3
-
2
7
)×21
3
8
×15-3÷
8
3
      
[
8
15
-(
4
5
-
3
10
)]×
15
14
1
6
×
2
3
÷(
4
5
-
8
15
分析:(1)把除法算式化成乘法算式,再运用乘法的分配律进行简算,
(2)先算乘法,再运用加法的结合律进行简算,
(3)先算小括号里的除法,再算小括号里的减法,最后算括号外的除法,
(4)先算小括号里的加法,再算中括号里的减法,最后算括号外的乘法,
(5)运用乘法的分配律进行简算,
(6)先算乘法算式和除法算式,再算减法,
(7)先算小括号里的减法,再算中括号里的减法,最后算括号外的乘法,
(8)先算小括号里的减法,再从左向右进行计算.
解答:解:(1)
17
25
÷
4
3
+
8
25
÷
4
3

=
17
25
×
3
4
+
8
25
×
3
4

=(
17
25
+
8
25
)×
3
4

=1×
3
4

=
3
4


(2)
15
7
+
9
8
×
5
9
+
3
8

=
15
7
+
5
8
+
3
8

=
15
7
+(
5
8
+
3
8
),
=
15
7
+1,
=3
1
7


(3)(
11
4
-
4
7
÷
5
7
÷
3
2

=(
11
4
-
4
5
÷
3
2

=
39
20
÷
3
2

=
13
10


(4)[2-(
8
5
+
1
3
)]×
15
4

=[2-
29
15
15
4

=
1
15
×
15
4

=
1
4


(5)(
5
3
-
2
7
)×21,
=
5
3
×21-
2
7
×21,
=35-6,
=29;

(6)
3
8
×15-3÷
8
3

=
45
8
-
9
8

=4.5;

(7)[
8
15
-(
4
5
-
3
10
)]×
15
14

=[
8
15
-
1
2
15
14

=
1
30
×
15
14

=
1
28


(8)
1
6
×
2
3
÷(
4
5
-
8
15
),
=
1
6
×
2
3
÷
4
15

=
1
6
×
2
3
×
15
4

=
5
12
点评:此题要依据四则混合运算法则进行计算,同时认真分析各组数据,能简便计算的要简便计算.
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