题目内容

用合适的方法计算下面各题.
3
4
-
3
25
)×100
2
7
×
17
11
+
5
11
×
2
7
3
8
×
10
11
+
5
8
÷
11
10
(12×
5
6
-7.3)÷
9
4
8
9
÷〔(
2
5
+
1
10
)×
4
3
9
13
×27-
9
13
)×
7
18
分析:(1)(2)根据乘法分配律计算;
(3)先把除法转化成乘法,再根据乘法分配律计算;
(4)(5)先算小括号里面的,再算中括号里面的,最后算除法;
(6)先根据乘法分配律求小括号里面的.
解答:解:(1)(
3
4
-
3
25
)×100,
=
3
4
×100-
3
25
×100,
=75-12,
=63;

(2)
2
7
×
17
11
+
5
11
×
2
7

=
2
7
×(
17
11
+
5
11
),
=
2
7
×2,
=
4
7


(3)
3
8
×
10
11
+
5
8
÷
11
10

=
3
8
×
10
11
+
5
8
×
10
11

=(
3
8
+
5
8
)×
10
11

=1×
10
11

=
10
11


(4)(12×
5
6
-7.3)÷
9
4

=(10-7.3)÷
9
4

=2.7×
4
9

=1.2;

(5)
8
9
÷〔(
2
5
+
1
10
)×
4
3
],
=
8
9
÷〔
1
2
×
4
3
〕,
=
8
9
×
3
2

=
4
3


(6)(
9
13
×27-
9
13
)×
7
18

=[(
9
13
×(27-1)]×
7
18

=[
9
13
×
26]×
7
18

=18×
7
18

=7.
点评:本题主要考查了在四则运算中灵活运用简便算法的计算能力.
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