题目内容

(2012?团风县模拟)计算:
8
9
×[
3
4
-( 
7
16
-
1
4
)]
[
1
2
-(
3
4
-
3
5
)]÷
7
10
7
9
÷
11
5
+
2
9
×
5
11
1.3-3.79+9.7-6.21
68×35-408÷24 47.5-(0.6+6.4÷0.32)
1
1
8
+
1
2
÷4-
3
4
4
5
÷(
5
6
×
3
5
)-1
1
2
8
49
÷[
9
8
-(
1
8
+
3
7
)]
3
5
-
1
3
)×15.
分析:(1)可根据一个数减两个数的差,等于减去两个数中的被减数,加上减数的减法性质计算;
(2)(5)(6)(7)(8)根据四则混合运算的运算顺序计算即可:先算乘除,再算加减,有括要先算括号里面的;
(3)(10)可根据乘法分配律计算;
(4)可根据加法交换律及一个数减两个数,等于减去这两个数的减法性质计算.
(9)可根据一个数减去两个数的和,等于分别减去这两个数的减法性质计算.
解答:解:(1)
8
9
×[
3
4
-( 
7
16
-
1
4
)]
=
8
9
×[
3
4
+
1
4
-
7
16
],
=
8
9
×[1-
7
16
],
=
8
9
×
9
16

=
1
2


(2)[
1
2
-(
3
4
-
3
5
)]÷
7
10

=[
1
2
-
3
20
10
7

=
7
20
×
10
7

=
1
2


(3)
7
9
÷
11
5
+
2
9
×
5
11

=
7
9
×
5
11
+
2
9
×
5
11

=(
7
9
+
2
9
)×
5
11

=1×
5
11

=
5
11


(4)1.3-3.79+9.7-6.21
=(1.3+9.7)-(3.79+6.21),
=11-10,
=1;

(5)68×35-408÷24
=2380-17,
=2363;

(6)47.5-(0.6+6.4÷0.32)
=47.5-(0.6+20),
=47.5-20.6,
=26.9;

(7)1
1
8
+
1
2
÷4-
3
4

=1
1
8
+
1
8
-
3
4

=1
1
4
-
3
4

=
1
2


(8)
4
5
÷(
5
6
×
3
5
)-1
1
2

=
4
5
÷
1
2
-1
1
2

=1
3
5
-1
1
2

=
1
10


(9)
8
49
÷[
9
8
-(
1
8
+
3
7
)]
=
8
49
÷[
9
8
-
1
8
-
3
7
],
=
8
49
÷
4
7

=
2
7


(10)(
3
5
-
1
3
)×15.
=
3
5
×15-
1
3
×15,
=9-5,
=4.
点评:完成此类题目要注意分析式中数据的特点及内在联系,然后运用合适的方法进行计算.
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