题目内容

下面各题,怎样算简便就怎样算.
(1)9+
9
20
÷9              
(2)
7
12
×
3
7
×
5
6
(3)
43
97
×98                       
(4)
4
9
×
5
2
+
5
9
÷
2
5
(5)0.8+
4
9
+
1
5
+
5
9
                 
(6)
1
2
÷[
1
3
×(
3
5
-
3
10
)]
分析:(1)把除法改为乘法,先算乘法,再算加法;
(2)约分计算;
(3)把98看作97+1,运用乘法分配律简算;
(4)把除法改为乘法,运用乘法分配律简算;
(5)把
1
5
换位小数0.2,运用加法交换律与结合律查简算;
(6)先算小括号内的,再算中括号内的,最后算括号外的.
解答:解:(1)9+
9
20
÷9,
=9+
9
20
×
1
9

=9+
1
20

=9
1
20


(2)
7
12
×
3
7
×
5
6
=
5
24


(3)
43
97
×98,
=
43
97
×(97+1),
=
43
97
×97+
43
97

=43+
43
97

=43
43
97


(4)
4
9
×
5
2
+
5
9
÷
2
5

=
4
9
×
5
2
+
5
9
×
5
2

=(
4
9
+
5
9
)×
5
2

=1×
5
2

=
5
2


(5)0.8+
4
9
+
1
5
+
5
9

=0.8+0.2+(
4
9
+
5
9
),
=1+1,
=2;

(6)
1
2
÷[
1
3
×(
3
5
-
3
10
)]

=
1
2
÷[
1
3
×
3
10
],
=
1
2
÷
1
10

=
1
2
×10,
=5.
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.
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