题目内容

(2008?高阳县)脱式计算能简算得要简算.
①1.8÷0.75+9.6÷2.4
②6.7+
7
8
+
9
8
+2.3
③19×(
1
3
+
7
19
)×6
5
7
×
15
4
+3×
5
7
+
5
12
×
3
7
分析:(1)按照先同时计算除法,再算加法顺序解答,
(2)运用加法交换律以及结合律解答,
(3)(4)运用乘法分配律解答.
解答:解:(1)1.8÷0.75+9.6÷2.4,
=2.4+4,
=6.4;

(2)6.7+
7
8
+
9
8
+2.3,
=(6.7+2.3)+(
7
8
+
9
8
),
=9+2,
=11;

(3)19×(
1
3
+
7
19
)×6,
=19×
1
3
×
6+19×
7
19
×
6,
=38+42,
=80;

(4)
5
7
×
15
4
+3×
5
7
+
5
12
×
3
7

=
5
7
×(
15
4
+3+
3
12
),
=
5
7
×7,
=5.
点评:根据各数的特点选择并应用正确的计算方法是解答本题的关键.
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