题目内容

2
5
×[
3
5
÷(
3
5
+
9
25
)]
=
 [25+(
1
3
+
1
4
)]×4
=
10
11
÷(2-
5
3
2
5
=
1
7
÷[5×(
3
5
-
2
5
)]
=
[1-(
1
4
+
3
8
)]÷
3
4
=
 [
9
16
+0÷(
1
7
+
7
8
)]×
4
3
=
分析:(1)先算加法,再算除法,最后算乘法;
(2)先算小括号里面的加法,再根据乘法分配律进行简算;
(3)先算减法,再按照从左向右的顺序进行计算;
(4)先算减法,再算乘法,最后算除法;
(5)先算加法,再算减法,最后算除法;
(6)0除以任何数都得0,那么0÷(
1
7
+
7
8
)=0,再算加法,最后算乘法.
解答:解:
(1)
2
5
×[
3
5
÷(
3
5
+
9
25
)]

=
2
5
×[
3
5
÷
24
25
],
=
2
5
×
5
8

=
1
4


(2)[25+(
1
3
+
1
4
)]×4

=[25+
7
12
]×4,
=25×4+
7
12
×4,
=100+
7
3

=102
1
3


(3)
10
11
÷(2-
5
3
2
5

=
10
11
÷
1
3
×
2
5

=
30
11
×
2
5

=
12
11


(4)
1
7
÷[5×(
3
5
-
2
5
)]

=
1
7
÷[5×
1
5
],
=
1
7
÷1,
=
1
7


(5)[1-(
1
4
+
3
8
)]÷
3
4

=[1-
5
8
3
4

=
3
8
÷
3
4

=
1
2


(6)[
9
16
+0÷(
1
7
+
7
8
)]×
4
3

=[
9
16
+0]×
4
3

=
9
16
×
4
3

=
3
4
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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