题目内容
(2012?威宁县)用简便方法计算.
×
+40%×
(
+
)×
+
90-200+210
20.11×2010-20.09×2011.
2 |
5 |
6 |
11 |
5 |
11 |
(
24 |
19 |
16 |
17 |
1 |
8 |
15 |
17 |
90-200+210
20.11×2010-20.09×2011.
分析:(1)
×
+40%×
,把40%化成分数(
),再应用乘法分配律进行简算;
(2)(
+
)×
+
,首先应用乘法分配律,再应用加法结合律进行简算;
(3)90-200+210转化为90+210-200,再进行计算;
(4)20.11×2010-20.09×2011,转化为:20.11×2010-20.09×2010-20.09,再应用乘法分配律进行简算.
2 |
5 |
6 |
11 |
5 |
11 |
2 |
5 |
(2)(
24 |
19 |
16 |
17 |
1 |
8 |
15 |
17 |
(3)90-200+210转化为90+210-200,再进行计算;
(4)20.11×2010-20.09×2011,转化为:20.11×2010-20.09×2010-20.09,再应用乘法分配律进行简算.
解答:解:(1)
×
+40%×
,
=
×
+
×
,
=
×(
+
),
=
×1,
=
;
(2)(
+
)×
+
,
=
×
+
×
+
,
=
+(
+
),
=
+1,
=1
;
(3)90-200+210,
=90+210-200,
=300-200,
=100;
(4)20.11×2010-20.09×2011,
=20.11×2010-20.09×2010-20.09,
=(20.11-20.09)×2010-20.09,
=0.02×2010-20.09,
=40.2-20.09,
=20.11.
2 |
5 |
6 |
11 |
5 |
11 |
=
2 |
5 |
6 |
11 |
2 |
5 |
5 |
11 |
=
2 |
5 |
6 |
11 |
5 |
11 |
=
2 |
5 |
=
2 |
5 |
(2)(
24 |
19 |
16 |
17 |
1 |
8 |
15 |
17 |
=
24 |
19 |
1 |
8 |
16 |
17 |
1 |
8 |
15 |
17 |
=
3 |
19 |
2 |
17 |
15 |
17 |
=
3 |
19 |
=1
3 |
19 |
(3)90-200+210,
=90+210-200,
=300-200,
=100;
(4)20.11×2010-20.09×2011,
=20.11×2010-20.09×2010-20.09,
=(20.11-20.09)×2010-20.09,
=0.02×2010-20.09,
=40.2-20.09,
=20.11.
点评:此题考查了应用整数的运算定律对分数、小数四则混合运算进行简便计算.-
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