题目内容

用你喜欢的方法算:
(1)
5
7
×
1
4
+
3
4
×
5
7
(2)
4
5
×
3
8
×
5
9
(3)
5
6
×(
14
15
-
1
4
(4)101×
1
7
-
1
7
(5)(
3
7
+
5
8
)×56
(6)
1
7
×34×7×
2
17
分析:(1)(3)(4)(5)根据乘法分配律进行简算;
(2)(6)根据乘法交换律和结合律进行简算.
解答:解:(1)
5
7
×
1
4
+
3
4
×
5
7

=
5
7
×(
1
4
+
3
4
),
=
5
7


(2)
4
5
×
3
8
×
5
9

=
4
5
×(
3
8
×
5
9
),
=
4
5
×
5
24

=
1
6


(3)
5
6
×(
14
15
-
1
4
),
=
5
6
×
14
15
-
5
6
×
1
4

=
7
9
-
5
24

=
41
72


(4)101×
1
7
-
1
7

=(101-1)×
1
7

=100×
1
7

=
100
7


(5)(
3
7
+
5
8
)×56,
=
3
7
×56+
5
8
×56,
=24+35,
=59;

(6)
1
7
×34×7×
2
17

=(
1
7
×7)×(34×
2
17
),
=1×4,
=4.
点评:完成本题要注意分析式中数据,运用合适的简便方法计算.
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