题目内容

(2011?新疆模拟)计算.
15
12
÷15×
12
17
×24
13×
6
7
+
6
7
×22
1
2
+
1
5
+
1
12
)×60
3
5
×
1
7
+
2
5
÷7
2
7
÷
4
9
+
5
7
÷
4
9
120.8×2.75-0.8×2.75 8×1.2×1.25×
1
3
3
4
×13-13×25%
分析:(1)把除以15化成乘以
1
15
,再约分进行计算即可;
(2)(3)(6)(8)运用乘法的分配律进行简算;
(4)把除以7化成乘以
1
7
,再运用乘法的分配律进行简算;
(5)把除法化成乘法,再运用乘法的分配律进行简算;
(7)运用乘法的交换律、结合律进行简算.
解答:解:(1)
15
12
÷15×
12
17
×24,
=
15
12
×
1
15
×
12
17
×24,
=
24
17


(2)13×
6
7
+
6
7
×22,
=(13+22)×
6
7

=35×
6
7

=30;

(3)(
1
2
+
1
5
+
1
12
)×60,
=
1
2
×60+
1
5
×60+
1
12
×60,
=30+6+5,
=36+5,
=41;

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

=(
3
5
+5)×
1
7

=1×
1
7

=
1
7


(5)
2
7
÷
4
9
+
5
7
÷
4
9

=
2
7
×
9
4
+
5
7
×
9
4

=(
2
7
+
5
7
)×
9
4

=1×
9
4

9
4


(6)120.8×2.75-0.8×2.75,
=(120.8-0.8)×2.75,
=120×2.75,
=330;

(7)8×1.2×1.25×
1
3

=(8×1.25)×(1.2×
1
3
),
=10×0.4,
=4;

(8)
3
4
×13-13×25%,
=(
3
4
-25%)×13,
=0.5×13,
=6.5.
点评:此题考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.
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