题目内容

下面各题怎样简便就怎样算.
70×(
3
7
+
2
5
-
4
35
)
7
11
×
8
23
+
7
23
×
3
11
6.4÷50-5.9×
1
50
101×
1
5
-
1
5
×21
(
3
5
+1.6×
1
2
)×0.25
[
7
10
-(0.5+
2
5
×
1
2
)]÷
16
7
分析:(1)(4)运用乘法分配律简算;
(2)先根据积不变的规律变形,再运用乘法分配律简算;
(3)先把除法变成乘法,再运用乘法分配律简算;
(5)先算小括号里面的乘法,再运用乘法分配律简算;
(6)先算下课后两年的乘法,再算小括号里面的加法,然后算中括号里面的减法,最后算括号外的除法.
解答:解:(1)70×(
3
7
+
2
5
-
4
35
),
=70×
3
7
+70×
2
5
-70×
4
35

=30+28-8,
=58-8,
=50;

(2)
7
11
×
8
23
+
7
23
×
3
11

=
7
11
×
8
23
+
3
23
×
7
11

=
7
11
×(
8
23
+
3
23
),
=
7
11
×
11
23

=
7
23


(3)6.4÷50-5.9×
1
50

=6.4×
1
50
-5.9×
1
50

=(6.4-5.9)×
1
50

=0.5×
1
50

=
1
100


(4)101×
1
5
-
1
5
×21,
=(101-21)×
1
5

=80×
1
5

=16;

(5)(
3
5
+1.6×
1
2
)×0.25,
=(0.6+0.8)×0.25,
=(1+0.4)×0.25,
=1×0.25+0.4×0.25,
=0.25+0.1,
=0.35;

(6)[
7
10
-(0.5+
2
5
×
1
2
)]÷
16
7

=[
7
10
-(0.5+0.2)]÷
16
7

=[
7
10
-0.7]÷
16
7

=0÷
16
7

=0.
点评:乘法分配律是常用的简便运算的方法,要熟练掌握,灵活运用.
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