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84×(
5
12
-
2
7
)
               
5
6
÷(2-
1
3
)
              
1
5
×(
1
2
+
1
3
4
9
             
1
2
+
1
2
×
3
5
+
2
5
3
5
×
2
3
+
4
5
                  
3
4
×
8
9
+
3
4
÷9
            
13
10
÷7+
13
10
×
6
7
               
6
7
+
6
7
×
1
6
分析:(1)运用乘法分配律简算;
(2)先算小括号里面的减法,再算括号外的除法;
(3)先算小括号里面的加法,再算括号外的乘法,最后算除法;
(4)先算乘法,再从左到右计算加法;
(5)先算乘法,再算加法;
(6)(7)先把除法变成乘法,再运用乘法分配律简算;
(8)先同时计算乘法和除法,再算加法.
解答:解:(1)84×(
5
12
-
2
7
)
  
=84×
5
12
-84×
2
7

=35-24
=11;

(2)
5
6
÷(2-
1
3
)
      
=
5
6
÷1
2
3

=
1
2


(3)
1
5
×(
1
2
+
1
3
)÷
4
9

=
1
5
×
5
6
×
9
4

=
1
6
×
9
4

=
3
8


(4)
1
2
+
1
2
×
3
5
+
2
5

=
1
2
+
3
10
+
2
5

=
8
10
+
2
5

=
6
5


(5)
3
5
×
2
3
+
4
5

=
2
5
+
4
5

=
6
5


(6)
3
4
×
8
9
+
3
4
÷9
        
=
3
4
×
8
9
+
3
4
×
1
9

=
3
4
×(
8
9
+
1
9

=
3
4
×1
=
3
4


(7)
13
10
÷7+
13
10
×
6
7
 
=
13
10
×
1
7
+
13
10
×
6
7

=
13
10
×(
1
7
+
6
7

=
13
10
×1
=
13
10


(8)
6
7
+
6
7
×
1
6

=7+
1
7

=7
1
7
点评:本题考查了四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.
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