题目内容

计算下面各题(能简算的要简算)
5
6
-
4
5
+
3
10
4
5
-(
3
8
+
1
4
5
7
-(
13
14
-
1
2
7
9
-(
1
6
-
2
9
1
2
+
4
5
-
1
2
+
4
5
19
14
-(
1
4
+
5
14
)+
1
4
1
8
+
2
15
+
7
8
5
6
+
3
4
-
1
3
11
12
-( 
1
6
+
1
8
 )
11-
7
10
-
3
10
7
12
-( 
3
4
-
1
2
 )
1
2
-(
3
4
-
3
8
考点:分数的四则混合运算,分数的简便计算
专题:运算顺序及法则,运算定律及简算
分析:(1)按照从左向右的顺序进行计算;
(2)先算加法,再算减法;
(3)先算小括号里面的减法,再算括号外面的减法;
(4)根据减法的性质进行简算;
(5)根据加法交换律和结合律进行简算;
(6)根据减法的性质以及加法交换律和结合律进行简算;
(7)根据加法交换律进行简算;
(8)按照从左向右的顺序进行计算;
(9)先算加法,再算减法;
(10)根据减法的性质进行简算;
(11)先算小括号里面的减法,再算括号外面的减法;
(12)先算小括号里面的减法,再算括号外面的减法.
解答: 解:(1)
5
6
-
4
5
+
3
10

=
1
30
+
3
10

=
1
3


(2)
4
5
-(
3
8
+
1
4

=
4
5
-
5
8

=
7
40


(3)
5
7
-(
13
14
-
1
2

=
5
7
-
3
7

=
2
7


(4)
7
9
-(
1
6
-
2
9

=
7
9
-
1
6
+
2
9

=
7
9
+
2
9
-
1
6

=1-
1
6

=
5
6


(5)
1
2
+
4
5
-
1
2
+
4
5

=(
1
2
-
1
2
)+(
4
5
+
4
5

=0+
8
5

=
8
5


(6)
19
14
-(
1
4
+
5
14
)+
1
4

=
19
14
-
1
4
-
5
14
+
1
4

=(
19
14
-
5
14
)+(
1
4
-
1
4

=1+0
=1;

(7)
1
8
+
2
15
+
7
8

=
1
8
+
7
8
+
2
15

=1+
2
15

=1
2
15


(8)
5
6
+
3
4
-
1
3

=
19
12
-
1
3

=
5
4


(9)
11
12
-(
1
6
+
1
8

=
11
12
-
7
24

=
5
8


(10)11-
7
10
-
3
10

=11-(
7
10
+
3
10

=11-1
=10;

(11)
7
12
-(
3
4
-
1
2

=
7
12
-
1
4

=
1
3


(12)
1
2
-(
3
4
-
3
8

=
1
2
-
3
8

=
1
8
点评:考查了运算定律与简便运算,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简便计算.
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