题目内容

计算,能简算的要简算.
18
35
÷0.6×
2
3
18
13
×
12
5
+
18
5
×
1
13
3
25
×102-
6
25
5
8
+
5
6
)×
4
25
(0.75-
3
16
)×(
2
9
+
1
3
(4-(
3
4
-
3
8
))×
4
29
分析:(1)把0.6化为分数,在把除法改为乘法,约分即可;
(2)把原式变为
18
13
×
12
5
+
1
5
×
18
13
,运用乘法分配律简算;
(3)把原式变为
3
25
×102-
3
25
×2,运用乘法分配律简算;
(4)先算括号内的,再算括号外的;
(5)把小数化为分数,两个括号同时计算,最后算乘法;
(6)先算小括号内的,再算中括号内的,最后算括号外的.
解答:解:(1)
18
35
÷0.6×
2
3

=
18
35
÷
3
5
×
2
3

=
18
35
×
5
3
×
2
3

=
4
7


(2)
18
13
×
12
5
+
18
5
×
1
13

=
18
13
×
12
5
+
1
5
×
18
13

=
18
13
×(
12
5
+
1
5
),
=
18
13
×
13
5

=
18
5


(3)
3
25
×102-
6
25

=
3
25
×102-
3
25
×2,
=
3
25
×(102-2),
=
3
25
×100,
=12;

(4)(
5
8
+
5
6
)×
4
25

=
35
24
×
4
25

=
7
30


(5)(0.75-
3
16
)×(
2
9
+
1
3
),
=(
3
4
-
3
16
)×(
2
9
+
1
3
),
=
9
16
×
5
9

=
5
16


(6)[4-(
3
4
-
3
8
)]×
4
29

=[4-
3
8
4
29

=
29
8
×
4
29

=
1
2
点评:此题考查了四则混合运算的运算顺序,还要仔细观察算式的特点,灵活运用一些定律进行简便计算.
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