题目内容

1
8
×14÷
7
8
4
5
+
3
10
)÷
3
10
      
5
6
÷(
1
2
+
5
6
)    
3
4
÷
15
16
÷
5
6
1
100
÷
1
100
      
4
4
5
×4
3
5
-4
4
5
×3.6 
44
45
×46 
1
2
+
2
3
+
3
4
)×24.
分析:(1)把除法变成乘法,再运用乘法结合律简算;
(2)先把除法变成乘法,再运用乘法分配律简算;
(3)先算小括号里面的加法,再算括号外的除法;
(4)(5)按照从左到右的顺序计算;
(6)(8)运用乘法分配律简算;
(7)先把46分解成45+1,再运用乘法分配律简算.
解答:解:(1)
1
8
×14÷
7
8

=
1
8
×(14×
8
7
),
=
1
8
×16,
=2;

(2)(
4
5
+
3
10
)÷
3
10

=(
4
5
+
3
10
)×
10
3

=
4
5
×
10
3
+
3
10
×
10
3

=
8
3
+1,
=3
2
3


(3)
5
6
÷(
1
2
+
5
6
),
=
5
6
÷
8
6

=
5
8


(4)
3
4
÷
15
16
÷
5
6

=
3
4
×
16
15
×
6
5

=
4
5
×
6
5

=
24
25


(5)1÷
1
100
÷
1
100

=100×100,
=10000;

(6)4
4
5
×4
3
5
-4
4
5
×3.6,
=4
4
5
×(4
3
5
-3.6),
=4
4
5
×1,
=4
4
5


(7)
44
45
×46,
=
44
45
×(45+1),
=
44
45
×45+
44
45
×1,
=44+
44
45

=44
44
45


(8)(
1
2
+
2
3
+
3
4
)×24,
=
1
2
×24+
2
3
×24+
3
4
×24,
=12+16+18,
=28+18,
=46.
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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