题目内容

(2012?石棉县模拟)
下面各题怎样简便怎样算.
6.13+28.86+13.87+1.14
12×97+1.2×30 71÷60-68×
1
60
                   
8.8×(3.75-1.25)×1.25
3
4
+
8
15
×
5
12
)÷
35
36
4
9
-
2
41
)×9×41.
分析:(1)运用加法交换律和结合律解答,
(2)、(3)、(4)、(5)、(6)运用乘法分配律解答.
解答:解:(1)6.13+28.86+13.87+1.14,
=(6.13+13.87)+(28.86+1.14),
=20+30,
=50;

(2)12×97+1.2×30,
=12×(97+3),
=12×100,
=1200;

(3)71÷60-68×
1
60

=(71-68)×
1
60

=3×
1
60

=0.05;
  
(4)8.8×(3.75-1.25)×1.25,
=[(8+0.8)×1.25]×2.5,
=[8×1.25+0.8×1.25]×2.5,
=[10+1]×2.5,
=10×2.5+1×2.5,
=25+2.5,
=27.5;

(5)(
3
4
+
8
15
×
5
12
)÷
35
36

=(
3
4
+
2
9
÷
35
36

=
3
4
×
36
35
+
2
9
×
36
35

=
27
35
+
8
35

=1;

(6)(
4
9
-
2
41
)×9×41,
=
4
9
×9×41-
2
41
×9×41,
=4×41-2×9,
=164-18,
=146.
点评:本题主要考查学生正确运用运算定律简算的能力.
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