题目内容

下面各题怎样简便就怎样算.
3
4
×
7
12
÷
14
9
24×(
1
4
+
5
6
3-
3
2
÷
21
10
-
2
7
3
4
×
1
7
+
1
4
÷7
1
5
÷[
1
13
+(
1
5
+
2
3
)]
2
3
+8×(
5
6
-
1
4
分析:(1)把除以一个分数,写成乘以它的倒数,按四则混合运算的顺序计算,
(2)运用乘法分配律运算简算,
(3)把除以一个分数,写成乘以它的倒数,减去两个数等于减去这两个数的和,
(4)把除法改为乘法,运用乘法分配律运算简算,
(5)先算小括号的加法,再算中括号的加法,最后算括号外的除法,,
(6)先运用乘法分配律运算简算,再算加法,
解答:解:(1)
3
4
×
7
12
÷
14
9

=
3
4
×
7
12
×
9
14

=
9
32


(2)24×(
1
4
+
5
6

=24×
1
4
+24×
5
6

=6+20,
=26;

(3)3-
3
2
÷
21
10
-
2
7

=3-
3
2
×
10
21
-
2
7

=3-
5
7
-
2
7

=3-(
5
7
+
2
7
),
=3-1,
=2;
(4)
3
4
×
1
7
+
1
4
÷7,
=
3
4
×
1
7
+
1
4
×
1
7

=
1
7
×(
3
4
+
1
4
),
=
1
7
×1,
=
1
7


(5)
1
5
÷[
1
13
+(
1
5
+
2
3
)],
=
1
5
÷[
1
13
+(
3
15
+
10
15
)],
=
1
5
÷[
1
13
+
13
15
],
=
1
5
÷
1
13
+
1
5
÷
13
15

=
1
5
×13+
1
5
×
15
13

=
13
5
+
3
13

=
169
65
+
15
65

=
184
65

=2
54
65


(6)
2
3
+8×(
5
6
-
1
4
),
=
2
3
+(8×
5
6
-8×
1
4
),
=
2
3
+(
20
3
-2),
=
2
3
+
14
3

=
16
3

=5
1
3
点评:此题主要考查了学生运用运算定律进行简算和四则混合运算的顺序的能力.
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