4
7
×
5
6
+
1
6
×
4
7
                          
4
5
-
4
5
÷4
13×(
2
13
+
2
11
)×11                       
3
8
+
1
27
)×16+
11
27
8
9
×
2
5
÷
8
15
2
3
+(
4
7
+
1
2
)×
7
25
8
13
÷7+
1
7
×
5
13
1
8
×58+
1
8
×41+
1
8
2
5
×
1
5
+40%×
4
5
5
9
÷5+5÷
5
9
分析:①③④⑥⑦⑧⑨運(yùn)用乘法的分配律進(jìn)行計(jì)算即可.
②⑤⑩運(yùn)用分?jǐn)?shù)的四則混合運(yùn)算的順序進(jìn)行計(jì)算即可.
解答:解:①
4
7
×
5
6
+
1
6
×
4
7
,
=
4
7
×(
5
6
+
1
6

=
4
7
×1,
=
4
7
;


②4÷
4
5
-
4
5
÷4,
=4×
5
4
-
4
5
×
1
4
,
=5-
1
5
,
=4
4
5


③13×(
2
13
+
2
11
)×11,
=( 13×
2
13
+13×
2
11
)×11,
=(2+
26
11
)×11,
=22+26,
=48;

④(
3
8
+
1
27
)×16+
11
27
,
=
3
8
×16+
16
27
+
11
27

=6+(
16
27
+
11
27
),
=6+1,
=7;


8
9
×
2
5
÷
8
15

=
8
9
×
2
5
×
15
8
,
=
2
3
;


2
3
+(
4
7
+
1
2
)×
7
25
,
=
2
3
+
4
7
×
7
25
+
1
2
×
7
25

=
2
3
+
4
25
+
7
50
,
=
2
3
+
3
10
,
=
29
30
;


8
13
÷7+
1
7
×
5
13
,
=(
8
13
+
5
13
)×
1
7
,
=1×
1
7

=
1
7
;

1
8
×
58+
1
8
×
41+
1
8

=
1
8
×(58+41+1),
=
1
8
×100,
=12.5;

2
5
×
1
5
+40%×
4
5

=
2
5
×
1
5
+
2
5
×
4
5
,
=
2
5
×(
1
5
+
4
5
),
=
2
5
;

5
9
÷5+5÷
5
9

=
5
9
×
1
5
+5×
9
5
,
=
1
9
;
點(diǎn)評:此題主要考查分?jǐn)?shù)、整數(shù)、小數(shù)的四則混合運(yùn)算的運(yùn)算順序和應(yīng)用運(yùn)算定律進(jìn)行簡便計(jì)算.
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