计算.能简算的要简算,并写出简算过程.(1)(0.12+0.22+0.32+0.42)2÷(0.13+0.23+0.33+0.43)(2)3.97÷7+17×4.03-17(3)0.0021×[167+2.93÷(1123-1.9)]÷0.001(4)0.1-数学

题文

计算.能简算的要简算,并写出简算过程.
(1)(0.12+0.22+0.32+0.422÷(0.13+0.23+0.33+0.43
(2)3.97÷7+
1
7
×4.03-
1
7

(3)0.0021×[1
6
7
+2.93÷(11
2
3
-1.9)]÷0.001
(4)0.125×0.25×0.5×64
(5)4936×(0.75×42.7-0.573×25+57.3)÷3.
题型:解答题  难度:中档

答案

(1)(0.12+0.22+0.32+0.422÷(0.13+0.23+0.33+0.43),
=(0.01+0.04+0.09+0.16)2÷(0.001+0.008+0.027+0.064),
=0.32÷0.1,
=0.09÷0.1,
=0.9;

(2)3.97÷7+
1
7
×4.03-
1
7

=3.97×
1
7
+
1
7
×4.03-
1
7

=(3.97+4.03-1)×
1
7

=7×
1
7

=1;

(3)0.0021×[1
6
7
+2.93÷(11
2
3
-1.9)]÷0.001,
=0.0021×[1
6
7
+2
93
100
÷9
23
30
]÷0.001,
=0.0021×[1
6
7
+
293
100
×
30
293
]÷0.001,
=0.0021×[1
6
7
+
3
10
]÷0.001,
=0.0021×
151
70
÷0.001,
=0.00453÷0.001,
=4.53;

(4)0.125×0.25×0.5×64,
=0.125×0.25×0.5×8×4×2,
=(0.125×8)×(0.25×4)×(0.5×2),
=1×1×1,
=1;

(5)4936×(0.75×42.7-0.573×25+57.3)÷3.
=4936×(32.025-14.325+57.3)÷3,
=4936×75÷3,
=370200÷3,
=123400.

据专家权威分析,试题“计算.能简算的要简算,并写出简算过程.(1)(0.12+0.22+0.32+0...”主要考查你对  运算定律和简便算法  等考点的理解。关于这些考点的“档案”如下:

运算定律和简便算法

考点名称:运算定律和简便算法

  • 学习目标:
    1、掌握运算定律,并能运用运算定律和性质进行正确、合理、灵活的计算。