题目内容

下面各题怎样算简便就怎样算.
36×
2
7
×
5
72
×42   
7
8
+
7
16
)÷
7
16
6
7
×
3
4
+
1
4
×
6
7
2
9
-
7
16
×
2
9
       
5
6
÷
2
3
÷
5
6
        
24×(
1
3
+
3
8
+
7
12
分析:(1)运用乘法交换律与结合律简算;
(2)把除法变为乘法,运用乘法分配律简算;
(3)(4)(6)运用乘法分配律简算;
(5)把除法变为乘法,约分计算.
解答:解:(1)36×
2
7
×
5
72
×42   
=(36×
5
72
)×(
2
7
×42)
=
5
2
×12
=30

(2)(
7
8
+
7
16
)÷
7
16

=(
7
8
+
7
16
)×
16
7

=
7
8
×
16
7
+
7
16
×
16
7

=2+1
=3

(3)
6
7
×
3
4
+
1
4
×
6
7

=
6
7
×(
3
4
+
1
4

=
6
7
×1
=
6
7


(4)
2
9
-
7
16
×
2
9

=(1-
7
16
)×
2
9

=
9
16
×
2
9

=
1
8


(5)
5
6
÷
2
3
÷
5
6
  
=
5
6
×
3
2
×
6
5

=
3
2


(6)24×(
1
3
+
3
8
+
7
12

=24×
1
3
+24×
3
8
+24×
7
12

=8+9+14
=31
点评:完成本题要注意分析式中数据,运用合适的简便方法计算.
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