题目内容

能简便的用简便方法.
24×
2
7
×
5
72
×21
17×
11
23
+17÷
23
12
18×(
1
3
+6÷
9
7
9
32
÷[
3
4
-(
7
16
-
1
4
)]
7
8
+
1
6
+
2
3
)×48
1
7
19
+
5
6
×
8
19
分析:(1)利用乘法交换律与结合律简算;
(2)把除法改为乘法,利用乘法分配律简算;
(3)先算除法,再算加法,最后算乘法;
(4)括号里运用减法的性质简算,再算除法;
(5)利用乘法分配律简算;
(6)先算乘法,再算加法.
解答:解:(1)24×
2
7
×
5
72
×21
=24×
5
72
×(21×
2
7

=
5
3
×6
=10;

(2)17×
11
23
+17÷
23
12

=17×
11
23
+17×
12
23

=17×(
11
23
+
12
23

=17×1
=17;

(3)18×(
1
3
+6÷
9
7

=18×(
1
3
+6×
7
9

=18×(
1
3
+
14
3

=18×5
=90;

(4)
9
32
÷[
3
4
-(
7
16
-
1
4
)]
=
9
32
÷[
3
4
-
7
16
+
1
4
]
=
9
32
÷[1-
7
16
]
=
9
32
×
16
9

=
1
2


(5)(
7
8
+
1
6
+
2
3
)×48
=
7
8
×48+
1
6
×48+
2
3
×48
=42+8+32
=82;

(6)1
7
19
+
5
6
×
8
19

=1
7
19
+
20
57

=1
41
57
点评:分数混合运算的关键是抓住运算顺序,正确按运算顺序计算,适当运用运算定律简算.
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