问题 解答题
计算.能简算的要简算,并写出简算过程.
(1)(0.12+0.22+0.32+0.422÷(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.
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.

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