题目内容
(2008?永泰县)脱式计算(怎样简便就怎样算).
(1)496-23×16
(2)(
+
)×12+
(3)(
+
)÷75%
(4)(2.5-2.5×0.6)÷0.4.
(1)496-23×16
(2)(
| 4 |
| 9 |
| 2 |
| 3 |
| 7 |
| 19 |
(3)(
| 2 |
| 5 |
| 1 |
| 2 |
(4)(2.5-2.5×0.6)÷0.4.
分析:算式(1)可根据凑整数及拆分法进行简便计算;
算式(2)、(3)据四则混合运算法则计算即可;
算式(4)中括号部分可据乘法分配律进行简便计算.
算式(2)、(3)据四则混合运算法则计算即可;
算式(4)中括号部分可据乘法分配律进行简便计算.
解答:解:(1)496-23×16
=500-23×2×8-4,
=500-368-4,
=128;
(2)(
+
)×12+
=
×12+
,
=
+
,
=13
;
(3)(
+
)÷75%
=
÷
,
=
;
(4)(2.5-2.5×0.6)÷0.4
=[(1-0.6)×2.5]÷0.4,
=[0.4×2.5]÷0.4,
=0.4÷0.4×2.5,
=1×2.5,
=2.5.
=500-23×2×8-4,
=500-368-4,
=128;
(2)(
| 4 |
| 9 |
| 2 |
| 3 |
| 7 |
| 19 |
=
| 10 |
| 9 |
| 7 |
| 19 |
=
| 40 |
| 3 |
| 7 |
| 19 |
=13
| 40 |
| 57 |
(3)(
| 2 |
| 5 |
| 1 |
| 2 |
=
| 9 |
| 10 |
| 3 |
| 4 |
=
| 6 |
| 5 |
(4)(2.5-2.5×0.6)÷0.4
=[(1-0.6)×2.5]÷0.4,
=[0.4×2.5]÷0.4,
=0.4÷0.4×2.5,
=1×2.5,
=2.5.
点评:完成含有分数的四则混合运算时要细心,注意通分、约分,结果化为最简分数.
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