题目内容
简便运算:
5.2×
+1.8×0.25+25%;
(2013×2014+2714)÷(2014×2015-1314);
+
+
+
+
+
2014÷2014
.
5.2×
1 |
4 |
(2013×2014+2714)÷(2014×2015-1314);
1 |
2×5 |
1 |
5×8 |
1 |
8×11 |
1 |
11×14 |
1 |
14×17 |
1 |
17×20 |
2014÷2014
2014 |
2015 |
考点:整数、分数、小数、百分数四则混合运算,分数的巧算
专题:运算顺序及法则,计算问题(巧算速算)
分析:(1)根据乘法分配律进行简算;
(2)2714=2014+700,1314=2014-700,然后再根据乘法分配律进行简算;
(3)根据分数的拆项进行简算;
(4)根据乘法分配律进行简算.
(2)2714=2014+700,1314=2014-700,然后再根据乘法分配律进行简算;
(3)根据分数的拆项进行简算;
(4)根据乘法分配律进行简算.
解答:
解:(1)5.2×
+1.8×0.25+25%
=5.2×0.25+1.8×0.25+0.25
=(5.2+1.8+1)×0.25
=8×0.25
=2;
(2)(2013×2014+2714)÷(2014×2015-1314)
=(2013×2014+2014+700)÷(2014×2015-2014+700)
=[2014×(2013+1)+700]÷[2014×(2015-1)+700]
=[2014×2014+700]÷[2014×2014+700]
=1;
(3)
+
+
+
+
+
=
×(
-
)+
×(
-
)+
×(
-
)+
×(
-
)+
×(
-
)+
×(
-
)
=
×(
-
+
-
+
-
+
-
+
-
+
-
)
=
×(
-
)
=
×
=
;
(4)2014÷2014
=2014÷
=2014÷
=2014÷
=2014×
=
.
1 |
4 |
=5.2×0.25+1.8×0.25+0.25
=(5.2+1.8+1)×0.25
=8×0.25
=2;
(2)(2013×2014+2714)÷(2014×2015-1314)
=(2013×2014+2014+700)÷(2014×2015-2014+700)
=[2014×(2013+1)+700]÷[2014×(2015-1)+700]
=[2014×2014+700]÷[2014×2014+700]
=1;
(3)
1 |
2×5 |
1 |
5×8 |
1 |
8×11 |
1 |
11×14 |
1 |
14×17 |
1 |
17×20 |
=
1 |
3 |
1 |
2 |
1 |
5 |
1 |
3 |
1 |
5 |
1 |
8 |
1 |
3 |
1 |
8 |
1 |
11 |
1 |
3 |
1 |
11 |
1 |
14 |
1 |
3 |
1 |
14 |
1 |
17 |
1 |
3 |
1 |
17 |
1 |
20 |
=
1 |
3 |
1 |
2 |
1 |
5 |
1 |
5 |
1 |
8 |
1 |
8 |
1 |
11 |
1 |
11 |
1 |
14 |
1 |
14 |
1 |
17 |
1 |
17 |
1 |
20 |
=
1 |
3 |
1 |
2 |
1 |
20 |
=
1 |
3 |
9 |
20 |
=
3 |
20 |
(4)2014÷2014
2014 |
2015 |
=2014÷
2014×2015+2014 |
2015 |
=2014÷
2014×(2015+1) |
2015 |
=2014÷
2014×2016 |
2015 |
=2014×
2015 |
2014×2016 |
=
2015 |
2016 |
点评: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简便计算.
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